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    BehavioralEconomics

    Lecture1IntroductionBehavioralEconomicsTheoreticalEconomics=bodyofnormativetheoriesaboutrationalbehaviorofanidealizedindividualRationality=maximization(orminimization)ofagoalfunctionundercertainrestrictions

    Person/household:utilityfunction(e.g.happiness) Firm:profitorlossfunction

    Socialtheoryofnormativeeconomics=GameTheoryandrationalitydefinedbyanyofseveralequilibrium(ausgleichende)conceptswhichhavetobeselected

    Descriptivemodels+empiricalevidence:behaviorinconsistentwithcanonic(traditional)model=irrationalbehavior Decisionsdependonreferencepoint Systematicbiasorerrorduetoheuristics

    Experimentaleconomics:observedbehaviordeviatesfrompredictionsincanonicmodel(notplayingNashequilibriumstrategies)BehavioralEconomics

    Howhumandecisionsmaysystematicallydepartfromthosepredictedbystandardeconomictheory

    Extensionstoclassicaltheoriesincludesocial,reciprocal,altruistic,environmental,cognitivefactors

    Cross-disciplinary,blendingneoclassicaleconomics(rationalchoicetheory),socialsciences,puresciences(biology..)

    Collectionofdescriptivetheoriesofhumanbehavior Closelyakintocognitivepsychology Evolutionarypsychologyfordecisionmaking,becausecognitiveabilitiesof

    altruismandnotmodernmarketexchange

    1. Coreassumptionsofeconomicshomooeconomicus(HO):sophisticatedHOcanbesocial,cansolveeverywell-definedproblemincludingthousandsofgoods

    andtechnologies,fullyinformed,perfectstatistician2. Simplifyingassumptionshomooeconomicussimplicissimus(HOS)goal=maximizingwealth,orconsumptionofmarketgoods=egoistic,notinterestedinenvironment,canbeendowedwithpreferencesandinformation

    3. Socialplanner:notmaximizenationalincome,takeintoaccountmoraldistributionalandenvironmentalissues

    BoundedRationality:HOSwithplainrationalbehavior

    Describinglessperfectindividuals,limitedabilitiestocompute,limitedmemories Userulesofthumb,simpleheuristicstoachievesolutionsclosetooptimal

    solutions Often:dreadfulmistakes

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    HigherRationality:HOwithhigherrationalityderivedfromsophisticatedmodelsandboundedrationality

    Modesofbehaviorareintelligent Perfectlyadapted,rational,efficienttocopewithspecialenvironment Evolutionnotperfect:functionsthroughincrementalimprovements,alsomakes

    mistakes Irrationalbehaviormayhavestrategicvaluechangeinenvironment,orpoint

    ofview,maytransformsuboptimalmodeofbehaviortoahighlyefficientstrategy modesofbehaviorcircumventingdemands9ofinfinitelysophisticated

    optimizationDutch-bookingbyintransitivepreferences,theoretical,notinreality

    A>B,B>C,C>A A=B+e B=C+e 3efornothinginreturn,moneypump C=A+e

    Lecture2EconomicsAxiomsandBehavior

    EconomicAssumptionsandAxiomsProbability(Kolmogorov)Axioms

    Probability(P)ofanevent(E)isnon-negative,realnumber Probabilityofsomeelementaryeventoccursis1,needtopreciselydefinewhole

    samplespace Additivityofevents

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    ConsequencesandDeterministicTransitivityCombiningeventprobabilitiesDeterministicTransitivity(strong): P(A)>P(B)&P(B)>P(C)P(A)>P(C)DeterministicTransitivity(weak): P(A)P(B)&P(B)P(C)P(A)P(C)

    Experimentalintransitivityduetoassumingprobabilisticchoices:ProbabilisticTransitivity P(A>B)>12&P(B>C)>12P(A>C)>12BayesTheorem

    Fordecisionmaking,incorporatenewinformationinspecificevent Conditionalprobabilities(likelihood)ofoneeventgivenanotherevent Priorprobabilitycanbetransferredintoposteriorprobabilitybyincorporating

    furtherknowledge

    P(A)isthepriorprobabilityofAmeaningitdoesnottakeintoaccountany

    informationaboutB. P(A|B)istheposteriorprobabilityofAgivenB. P(B|A)istheconditionalprobabilityofBgivenA. P(B)=P(B|A)P(A)+P(B|A)P(A)isthemarginalprobabilityofB,actingasa

    normalizingconstant.Example:BaseRateNeglectcitywith100terrorist,1.000.000non-terroristsImaginethatall1,000,100peoplepassinfrontofthecamera.About99ofthe100terroristswill

    triggeraringandsowillabout10,000ofthemillionofnon-terrorists.Therefore10,099peoplewillberungat,andonly99ofthemareterrorists.So,theprobabilitythatapersonwhotriggersthealarmisactuallyaterroristis99in10,099.P(terrorist)=0.0001P(alarm|terrorist)=0.99P(alarm)=0.010098 [P(alarm|terrorist)P(terrorist)+P(alarm|non-terrorist)P(non-terrorist)=0.99x0.0001+0.01x0.9999]P(terrorist|alarm)=(0.99x0.0001)/0.010098=0.0098039Theprobabilitythatwhenthealarmistriggeredthepersonisaterroristis0.98%.In99.02%ofthecasesthepersonisnotaterrorist( falsepositive).

    Whatistheprobabilityofthealarmnotbeingtriggered,butthepersonpassingbeingaterrorist(falsenegative)?PreferenceofChoice

    Preferences=fundamentalsofdecisions,describingourgoals Impossible:completeandconsistentsetofpreferences(not:irrational) Requirements:existenceandtransitivity Optimalx*fromasetofx,wherenothingisbetter Sometimesdifferentpreferencesdependingonpointoftime Makeassumptions:1.Specifyit,2.Testit,toexplainobservedbehavior Preferences=presentedbyutilityfunctionU(x)x1>x2ifU(x1)>U(x2)

    o Cardinal(grundlegend)instrumento Ordinaldescription(Rangliste)ofsatisfactionorhappiness

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    SubjectiveExpectedUtilityTheory(SEU)integratesthesubjectiveexpectation(probability)andtheindividualutilityintoavaluetodescribepreferencesortopredictchoiceschoseaction(alternative,option)withhighestSEU

    Multi-AttributeUtility(MAU)integratesthedifferentfeaturesofanoption.Itrepresentstheoverallutilityofthisoption.ProbabilitiesofSEUreplacedwithweightsrepresentingindividual,situationalpreferences

    DominanceRuleisastrongerassumptionthanMAU.Itpredictsthatalwaystheoptionischosenwhichisbetterononeattributeandatleastasgoodonallotherattributes.AxiomsofExpectedUtility

    Comparability=twooptionscanbecompared Transitivity Independence=therelationbetweejn2optionsisindependentoftheexistenceof

    furtheroptionsXY[X,p;Z][Y,p;Z] Continuity=mustalwaysbeapthatmiddleoptionisindifferenttobothother

    optionsforallXYZexistsapthatY~[X,p;Z,1-p]

    RevealedPreferences=directtestsofutilitymodelsofpreferences

    http://de.wikipedia.org/wiki/Revealed_Preference Utilityfunctionrationalizestheobservedbehavior(pt,xt)fort=1,...,Tifu(xt)

    u(x)forallxsuchthatpt*xtpt*x.(u(x)rationalizestheobservedbehaviorifitachievesitsmaximumvalueonthebudgetsetatthechosenbundles)

    Utilitymaximizationxtisdirectlyrevealedpreferredtox(xtRDx)o xtRDximpliesu(xt)u(x)o Localnosatiation:pt*xt>pt*ximpliesu(xt)>u(t)o Pt*xtpt*xxtisstrictlydirectlyrevealedpreferredtoxwritextPDx

    SequenceofrevealedpreferencesxtPDxj,xjPDxk,...xnPDxxtisrevealedpreferredtox(xtRx) R=transitiveclosuretotherelationPDxtRximpliesu(xt)u(x)

    GeneralizedAxiomofRevealedPreferences(GARP)

    Ifxtisrevealedpreferredtoxs,thenxscannotbestrictlydirectlyrevealedpreferredtoxt(thatisxtisneverstrictlyinthebudgetsetwhenxsischosen)

    xtRxsimpliesnotxsPDxtxtRxsimpliesps*xsps*xt.(Wenn ,danngiltnicht ).

    WeakAxiomofRevealedPreferences(WARP)

    Ifxtisdirectlyrevealedpreferredtoxs,thenxscannotbedirectlyrevealedpreferredtoxt(Wenn ,danngiltnicht )

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    ExamplesSocialExample:TheCommonsDilemma=herdsmandecisionaboutaddinganotheranimalwith2utilities

    Positive:saleofadditionalanimal,utility=+1 Negative:overgrazing,butsharedbetweenallherdsman,utility=onlyafraction

    of-1 Increasehisherdwithoutlimit-inaworldthatislimitedruin

    LogicalExample:WasonSelectionTask=logicpuzzlewhichcardstoturntotesttruthofaspecificproposition

    Demonstratingtheinconsistencyofapplyingthelogicalrulesbythepeoplewhentheproblemissetintwodifferentcontextsbutwithverysimilarconnectionbetweenthefacts

    Ifacardshowsanevennumberononeface,thenitsoppositefaceshowsaprimarycolor

    Choosecard8andbrowntotesttherule Aresponsewhichidentifiesacardwhichneednotbeinverted,oraresponsewhichfailstoidentifyacardwhichneedstobeinverted

    arebothincorrect

    BehavioralObservations(contradictingexpectedvalueorSEU)StPetersburgParadoxYouenteredinthePetersburgcasino.Yourentrancefeeis20dollarsineachgame.Inonegame,acoinisthrownrepetitivelyuntilitshowsnomorehead.Youwin2(^n)-20Dollars,ifntimesHeadappeared,thebankgetsineachgame20-2^ndollars.Youwillexperiencethatwiththisentrancefee,youareloosingmoney.Inreality,itisamathematicalfactthatyouareexpectedto

    win:youwinwithprobability2^-ntheamountof2^nDollars.Summingoverallngivesaninfiniteexpectationforyourwin.Whateverentrancefeeyouwouldpay,youwouldwin.Theparadoxisthatthisdisagreeswithyourexperiencetoloose.(http://www.mathematik.com/Petersburg/Petersburg.html)

    Gamewithcoins,entrancefee,winning2^(k-1)dollarsifthecoinistossedktimesuntilfirsttailappears

    Expectedpayoutvalueis ,infiniteamountofmoney Rarelywinmuchbutwhenyouwinalotinthelongrunthanrepayhowever

    muchmoneytheyhavealreadypaidtoplay

    Accordingtotheusualtreatmentofdecidingwhenitisadvantageousandthereforerationaltoplay,youshouldthereforeplaythegameatanypriceifofferedtheopportunity,butwronginreality

    ViolationsofIndependence

    Decisionpeoplemakedependingonsetofchoicespeoplehave Alsodependoncommonconsequencesofthechoices

    EllsbergParadox

    Urncontaining30redballsandthesum60ofblackandyellowballs Choice1:GambleA($100drawredball)andGambleB($100drawblackball) Choice2:GambleC($100drawredoryellow)andGambleD($100drawblackor

    yellow)http://de.wikipedia.org/wiki/Ellsberg-Paradoxon Theory:Ifdrawingaredballismorelikelythandrawingablackball,then

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    drawingaredoryellowballisalsomorelikelythandrawingablackoryellowball(preferGambleAtoGambleB,itfollowspreferringGambleCtoGambleD

    Survey:violationoftheaxiomsofexpectedutility,mostpeoplestrictlypreferAtob,andDtoC

    AllaisParadox

    Reality:mostpeoplechose1Aand2B Theory:peopleshouldchose1Aand2Aor1Band2B Difficultieswithexpectedutilitytheoryalternatives

    o Prospecttheoryo Rank-dependentexpectedutilityo Framingtheory(Identicalitemswillresultindifferentchoicesif

    presentedtoagentsdifferently(i.e.asurgerywitha70%survivalratevs.a30%chanceofdeath))

    Independenceaxiomofexpectedutilitymaybenotnecessary, Independenceaxiom:2identicaloutcomeswithinagambleshouldbetreatedas

    irrelevanttotheanalysisofthegambleasawhole Butinthisgame:complementarities(choiceinonepartofagamblemaydepend

    onthepossibleoutcomeintheotherpartofthegamble)disappointmentwhengettingnothinginGamble1B

    Wedon'tactirrationallywhenchoosing1Aand2B,ratherexpectedutilitytheoryisnotrobustenoughtocapturesuch"boundedrationality"choicesthatinthiscasearisebecauseofcomplementarities

    PapervonFlo:ProspectTheoryReasonBasedDM

    Explainobservedviolationsbyextremenessaversionandtradeoffcontrast Describecompromiseandattractioneffects(attractivenessofanoptionenhances

    ifitisanintermediateoptioninthechoicesetandisdiminishedifitisan

    extremeoption) Oftenthecompositionofthealternativesmatters

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    PreferenceReversals

    CertaintyEquivalent(CE)leadstootherresultsthanchoicebetweenprobableoutcomes(AllaisParadox)

    Viloationstoutilitytheoryalsobypresentationformatandformoftask WillingnesstoPay(WTP)contradictsWillingnesstoAccept(WTA)

    o Willingnesstoaccept(WTA)istheamountthatpersoniswillingtoaccepttoabandonagoodortoputupwithsomethingnegative,suchaspollution

    o Willingnesstopay(WTP)isthemaximumamountapersonwouldbewillingtopay,sacrificeorexchangeinordertoreceiveagoodortoavoidsomethingundesired,suchaspollution

    Framing(Tversky,Thaler)AlsFraming-Effekt(deutschetwa:Einrahmungseffekt)wirddasPhnomenbezeichnet,dassunterschiedlicheFormulierungeneinerBotschaftbeigleichemInhaltdasVerhaltendesEmpfngersunterschiedlichbeeinflussen.BeiManahmenzurGesundheitsvorsorgewirdoftaufdieschdlichenFolgenetwavonRauchen,ungeschtztemSex,bergewichtusw.hingewiesen(vgl.Furchtappell).IndiesemFallsprichtmanvonVerlust-Framing(engl.lossframe).MehrErfolghabenjedochBotschaften,dieineinenGewinnrahmeneingebettetsind(engl.gainframe),alsodiepositivenFolgendergewnschtenVerhaltensnderunghervorheben.Willmanjedocherreichen,dassbereitsvorhandeneKrankheitenoderRisiken(Raucher,bergewichtige)mehrbeachtetwerden,sindBotschaftenimVerlust-Rahmeneffizienter.AuchbeiBefragungen,etwaanhandvonFragebgen,kanndieserEffektauftreten.DeshalbsolltederFormulierungeinerFragebesondereBeachtunggeschenktwerden,umdieErgebnissederBefragungnichtzuverzerren.Eswurdefestgestellt,dassbeiBefragungenwesentlichrisikoreicherentschiedenwurde,wennnurvonVerlustendieRedewar.WurdedagegenvonGewinnengesprochen,entschiedensichmehrBefragtefreinerisikormereLsung.

    Example:2Programsreducingnumberofpeoplekilledintrafficaccident(from600) ProgramA:Reductionto570,costs$12Mio ProgramB:Reductionto500,costs$55Mio

    Differentresponseswhengivingalternatives,orchangepeoplekilledinpeoplesaved$-versusp-betsExperimentsondecisionsunderrisk:Whichlotteryispreferable,HorL?H:8/9chanceofwinning$4,otherwise0.L:1/9chanceofwinning$40,otherwise0.MostsubjectspreferHtoL(71%).Askedwhattheywouldpayforparticipatinginoneofthegambles(WTP),mostsubjectsattachedahigherpricetoL(67%).

    Priceofgamblesaremainlydeterminedbypayoffs($-bet) Choicebetweengamblesaremanlydeterminedbyprobabilitiesofwinning

    (p-bet)

    Payoffsareweighedmoreheavilyinpricesthaninchoice(scalecompatibility)

    Lecture3BoundedRationalityandHeuristics

    BoundedRationalitywithSatisficing

    Boundedrationality=explainingbehavioraldeviationsfromthenorm Conceptofsatisficingdecisions:decisionshavetobesatisfyingandsufficient MostpowerfulprincipleofBR:imitationofsuccessfulbehavior

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    GeneralProblemSolver(computerprogramtobuilduniversalsolvermachine) Solvinganyformalizedsymbolicproblem Separationbetweenitsknowledgeofproblemsandstrategytosolveproblem Cognitiveprocessesassolvingprocesses Generatingheuristicsbymeans-endsanalysis(Zweckmittelanalyse) SolvingproblemsliketheTowersofHanoi(sufficientlyformalized) Performedpoorlyinanyreal-worldproblems

    BoundedRationalityandProblemSolving

    Thetwocentralproblemsofdecision-makingare: Limitedinformation Limitedresources(time,informationprocessingability)

    Consequences: Maximizationisusuallyimpossible!Alternatives? Optimallearningisusuallyimpossible!Alternatives? Alternativesimplybiases,orcleverness

    CostBenefitTrade-Off=economicprincipledescribingusageofinformationWeighingadvantages(profits)ofmoreinformationagainstcostsofdevelopingsensesandintellectualcapacity(e.g.inherithouse,collectinginformationonthequestionwhethertolivethere,sellit,lentit,leaveit)

    SatisficingConcept

    Satisficing=contrarytomaximizing

    Limitedinfoprocessingabilities

    preventiondeterminationofmaxima(prefersmalllossestoinfinitesearch) Goal:reachingasufficientlevelofutility,profit=aspirationlevel

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    Aspirationlevelsareoftenreadjustedaccordingtotheexperienceswhiletryingtoreachthem

    Decidewhethertoworkfurtheronacertainproblem,giveup,orregardthecurrentsolutionassatisfactory

    Satisfactory=dependingonenvironmentandknowledgeaboutvaluefunction Unknownprofitfunction,experiencemayguesshowflatthemaximumis,

    whetherismuchtogaino HuntersProblem:Howgoodtoshoot?o FarmersProblem:Howmuchseed?o MonopolistsProblem:Whichprice?

    Companiesuseseveralaspirations,correlated:profit,marketshare,shareprice,creditratingratinganddecisionsbasedonimportance,changes,dependence,partialrealizations

    Goaldiversityexistsforindividuals,teams,governments

    Example:10-weekjobsearchYouhavelostyourjob.In10weeksfromnowonyouhavenojobandnopayment(simplified),exceptyoufindanewjob.Everyweekyougetanewjobofferandtilltheendoftheweekyouhavetodecidewhethertoacceptit.Youareonlyinterestedinmoney,youareriskneutral,andyouknowthatthehighestofferofaweekisuniformlydistributedontheinterval[10,20].Inthelastweekyouwillacceptanyoffer.

    Othervariantsoftheproblem:

    Noobvioustimehorizoninfinite?,setatimehorizon(aspirationlevel)? Noknowledgeaboutdistributionofjoboffers(e.g.SecretaryProblemtofind

    optimalstoppingsolutions) Searchcosts,infoquality,evaluationofjoboffers

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    HeuristicsandBiases Findingviolationsofutilitytheorydeterminingexplanatoryconcepts

    describingsystematicbiases Trialanderrormethodstoapproximateasolution Methodtodirectattentionfruitfullyinlearning,decision-making(rules,

    suggestions,guides,techniques) Basedonexperienceandcommonsense,improveitsownperformance Ruleofthumb,helpbutnotguaranteedsolution

    ExplanatoryConcepts

    Representativeness:WhenpeopleareaskedtoratetheprobabilityofAbelongingtoaclassB,theyoftenrefertotheprototypeoftheclass.Standardprobabilisticpointofview,thisisfalse:conjunctionfallacy(occurswhenitisassumedthatspecificconditionsaremoreprobablethanasinglegeneraone),neglectingpriorprobabilities,insensitivitytosamplesize,misconceptionof

    chance(gamblersfallacy),insensitivitytopredictability,illusionofvalidity(confidencewhenredundantdataalthoughredundancydecreasesaccuracy),misconceptionofregression

    Availability:Inmanysituationspeoplehavetoratethefrequencyofaclassortheprobabilityofanevent.Hereitisoftenrelieduponinstancesoroccurrences,whichcanbeeasilybroadtomind.Instancesoflargeclassesarerecalledbetterandfasterthaninstancesoflessfrequentclasses.Oneinterestingcorollaryfindingtothisheuristicisthatpeopleaskedtoimagineanoutcometendtoimmediatelyviewitasmorelikelythanpeoplethatwerenotaskedtoimaginethespecificoutcomebiases:duetoretrievabilityofinstances(e.g.morefamousmen,falseratethatmoremennameswereinthelist),duetoeffectivenessofasearchset(letterrfirstorthird),biasofimaginability(easilyimagineddisastersnotreflectlikelihood),illusorycorrelation(of2events)

    AnchoringandAdjustment:Whenmakingestimations,peopleoftenstartfromaninitialvaluetoderivetheanswer,therebythementalstartingpointoftendeterminestheoutcomeoftheprocess.Thiscanbethecase,eveniftheinitialstartingpointisinnowayconnectedtothetask/outcome.InsufficientAdjustment,overestimateprobabilityofconjunctiveevents,underestimateprob.Offailureincomplexsystems

    SomeBiases

    Overconfidence(optimism):peopleseemtosystematicallyoverestimatetheirabilitieswhenconfrontedwithgeneralknowledgequestionandaskedfortheirjudgmentconfidence.(cardrivers,chanceofsurviving,winnerscurse=beoptimistic,gotlicense,makelosses=thewinningbidderisoverpaying)illusionofvalidityinconsistencyandextremetypersistalthoughdifferentexperiences(lackofsearchforanduseofdisconfirmingevidence,lackofawarenessofenvironmentaleffectsonoutcomes,useofunaidedmemoryforcoding,storing,retrievinginformation)ContextDependency:evaluationofobjectsnaturallytakesplacerelativetocomparableobjectsandabsolutejudgmentsaredifficultorcanstronglybeinfluencedbyits

    environment(i.e.,framing,decisionsetdependency,informationsampling)SunkCosts:pastexpenditures(investment,up-frontpayment,etc.),whicharenot

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    recoverable.Economictheory(aswellasconventionalwisdom)tellsusthatsunkcostsshouldnotberelevantfordecisions.Cannotquitbecausefeelingstrongregret(highexpendituresfornothing).Higherrationality:so.doesnotwanttodestroyhisreputationasasuccessfulbusinessman,thenhisdecisiontostayinthebusinessmayhaveanadditionalvalueandneednot

    beirrational,ourtendencytohonorsunkcostsbeneficialinsomecases(instrumentofpre-commitment)Sunkcostsandquasi-rents:Honoringsunkcostsmayhelptopreventexpropriation(Endeignung)evenwithouthightransactioncosts.LimitedDepthofReasoning:peopleinprincipleplanonlywithlimitedforesight(e.g.gameofchess).Itisimportanttoguesswhatothersdo,butiftheydothesame(guesswhatwedo)wefindourselvesininfiniteregressatypicalprobleminGameTheory

    SimpleHeuristicsthatMakeUsSmart

    HeuristicsfortheEvaluationofAlternatives/BinaryChoiceRecognitionHeuristic:existenceversusnon-existenceofknowledgecanbeinformationitself(e.g.whichcityhasthelargerpopulation?SanDiegoorSanAntonio)Takethebest(TTB):Inordertodecideforoneoftwoalternatives:

    1. Lookforrelevantattributesofthealternatives2. Ranktheattributesaccordingtotheirimportance3. Comparethealternativeswithrespecttothemostimportantattribute4. Ifonealternativeisbetterwithrespecttothisattribute,decideforit5. Otherwisecomparethealternativeswithrespecttothenextmostimportant

    attributeandasin4.

    Minimalistic:step2=randomorder,orfirstcheckdimensionwhichdiscriminatedinthepreviouschoiceConcern:learningofcuevalidations,decisionwhichkindofheuristicinanenvironmentDecisionsunderUncertainty:AlternativetoUtilityModels?

    ThePriorityheuristic:approachforintegratingvaluesandprobabilitiesingambles Fundamentaldiscussionsaboutmakingchoiceswithouttrade-offs Incorporatessmallsetifassumptions,enablingpredictionofbehaviorinmost

    gambles Consistingof3rules

    (a)PriorityRule:Gothroughreasonsintheorder:minimumgain,probabilityofminimumgain,maximumgain,probabilityofmaximumgain(b)StoppingRule:Stopexaminationifthegainsdifferby1/10(ormore)ofthemaximumgain;otherwise,stopexaminationifprobabilitiesdifferby1/10(ormore)oftheprobabilityscale.(c)DecisionRule:Choosethegamblewiththemoreattractivegain(probability)

    FurtherHeuristicsandBiasesofThinkingTheGazeHeuristic:HowtoCatchaBall?

    Difficulttocomputetrajectory(Flugbahn)ofaballbecauseofdistance,velocity,projectionangle,speed,directionofwind

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    Gazeheuristic:ballhighupinair,fixgazeonball,startrunning,adjustspeedsothatangleofgazeremainsconstant

    Nocalculationwheretheballwillland,heuristicleadstolandingpointCognitiveBiases

    =DistortioninthewayhumansperceiverealityDecision-MakingandBehavioralBiases

    Bandwagoneffectthetendencytodo(orbelieve)thingsbecausemanyotherpeopledo(orbelieve)thesame

    Choice-supportivebiasthetendencytorememberone'schoicesasbetterthantheyactuallywere

    Mereexposureeffectthetendencyforpeopletoexpressunduelikingforthingsmerelybecausetheyarefamiliarwiththem

    BiasesinProbabilityandBelief Ambiguityeffecttheavoidanceofoptionsforwhichmissinginformation

    makestheprobabilityseem"unknown" Optimismbiasthesystematictendencytobeover-optimisticaboutthe

    outcomeofplannedactions Hawthorneeffectreferstoaphenomenonwhichisthoughttooccurwhen

    peopleobservedduringaresearchstudytemporarilychangetheirbehaviororperformance

    SocialBiases Haloeffectthetendencyforaperson'spositiveornegativetraitsto"spillover"

    fromoneareaoftheirpersonalitytoanotherinothers'perceptionsofthem Herdinstinctcommontendencytoadoptopinionsandfollowthebehaviorsof

    themajoritytofeelsaferandtoavoidconflict Projectionbiasthetendencytounconsciouslyassumethatotherssharethe

    sameorsimilarthoughts,beliefs,values,orpositions Self-fulfillingprophecythetendencytoengageinbehaviorsthatelicitresults

    whichwill(consciouslyornot)confirmourbeliefsMemoryBiasesandErrors

    Beneffectance:perceivingoneselfasresponsiblefordesirableoutcomesbutnotresponsibleforundesirableones

    Hindsightbias:filteringmemoryofpasteventsthroughpresentknowledge,sothatthoseeventslookmorepredictablethantheyactuallywere;alsoknownasthe'I-knew-it-all-alongeffect'

    Selectivememory

    Lecture4GameTheoryandExperimentalEconomics

    GameTheoryandEquilibriaGameTheory:mathematicallycapturebehaviorinstrategicsituations(successinmakingchoicesdependsonchoicesofothers)

    NormalformgamesOR(versus)Extensiveformgames Cooperativeversusnon-cooperativetheory Staticversusdynamictheory Gameswithcompleteversusincompleteinformation

    Equilibrium:setsofstrategiesinwhichindividualsareunlikelytochangetheirbehavior

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    EquilibriumConcepts(suchasNashEquilibrium):makepredictionsofoptimalbehaviorParlorGames:representationofsocialproblemsNormalFormGames

    Representingasocialproblem,describetwoplayers,eachhavingthesametwostrategiesofwhichtheyhavetochooseone

    Smallnumberofdecisionmakers(notone,notmany) Utility(profit,costs)ofadecisionmakerdependsnotonlyonownactionsbut

    alsoontheactionsofothers Everyplayerihasa(finiteorinfinite)setSiofstrategies(=completelydescribed

    planofbehavior) Allplayerschoosestrategiesatthesametime

    2x2normalformgameswithpurestrategies

    PrisonersDilemma

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    Rationality:goal=utilitymaximizationSocialconcept:Ifastrategysikofplayeriimpliesastrictlylowerutilityunderallstrategycombinationsofotherplayersthansij,thensikiscalledastrictlydominatedstrategy.sikiscalledweaklydominatedifitimpliesanequalorstrictlylowerutilitythansij.

    Noplayerchoosesastrictlydominatedstrategy,theplayerchoosesthedominantstrategy(sij)PD:bothplayerschoosedefect((4,0)istschlechterals(5,2))

    Player2:strictlydominantstrategyDPlayer1:strategyisNOTstrictlydominatedPlayer1:eliminatestrategyCChooseD(Cisstrictlydominatedafterthiselimination)Successiveeliminationofstrictlydominatedstrategies

    NOstrictlydominatedstrategiesSuccessiveeliminationmaycauseproblemswithdifferentresultsAnothersolutionconceptBestReply(RationalExpectationsaboutstrategiesofotherplayers)

    Arrowdiagram:ifplayer1playsDthenplayer2s

    bestreplyisDWeimmediatelyseethat(C,C)and(D,D)areNashequilibria.Cooperationgame

    Example:thebestreplyofplayer1toCofplayer2isC

    NashEquilibrium(NEinpurestrategies):pairofstrategies,whicharebestrepliestooneanother

    TofindNE:checkallstrategycombination Ina2x2game:usearrowdiagram

    BattleofSexesCouplewithdifferentpreferencesbutdominatingdesiretobetogetherCoordinationinterestswithdifferentandcommoninterests

    O=OperaF=Football

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    GameofChicken(Hawk-Dove-Game)Carsoncollisioncourse,whodeviatesloosesSymmetric(BattleofSexes)vsasymmetric(Chickengame)consequencesforout-of-equilibriumbehavior(fightfordominance)

    P=peaceful(deviate)A=aggressive(neverdeviate)

    MatchingPenniesPlayer1choosesheadortail,player2guesses,if2isrighthereceivesapennyfrom1andviceversaNONashequilibriuminpurestrategies(newproblemH=headT=tail

    2x2normalformgameswithmixedstrategiesMixedstrategy:thepurestrategieswillbechosenwithprobabilityp(player1).

    p=1/2,q=1/2

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    Counterintuitiveattributesofsuchmixedstrategyequilibria:

    Aplayersrewarddoesnotdependonhisownstrategychoice. Aplayersequilibriumstrategydoesnotdependonhisownvalues

    ProblemswithNashequilibriainmixedstrategies: Beingindifferent,whyshouldplayerschoosetheirequilibriumstrategies? Howcanweimaginetherealizationofamixedstrategy?

    Generalizations

    1. Finitenumberofplayersandfiniteumberifstrategies:gamehasatleastoneequilibriuminmixedstrategies

    2. Finitenumberofplayersandinfinitenumberofstrategies:a. Cournotoligopolywithhomogenousgoods:nsuppliers,xiquantitiesofa

    homogenousgood,pmarketpriceprofitG=xi(p-ci),NE:allxibestrepliestooneanotherminimaxfunction

    b. Cournotoligopolywithinhomogeneousgoodsc. Bertrandoligopolywithinhomogeneousgoods

    CounterEquilibriumarguments

    BertrandDuopolywithhomogeneousgoodsanddifferentconstantmarginalcostsnobestreply

    JewishPoker:everyonethinksofanumber,thehighernumberwinsProblemswithNashequilibriumasasolutionconceptSometimesnon-existenceofequilibria(notsevere)Coordinationofchoices

    - Ifthereisoneequilibriuminpurestrategies(notsevere)- Ifthereismorethanoneequilibrium(equilibriumselection)- Inmixedstrategyequilibria

    ExtensiveFormGames

    Gametreeindifferentvariations,orderofchoices(moves)DetermineinitialnodereachingeveryothernodeonauniquepathStrategy:completeplanofbehavior=determinedecisionineverynode(moves)

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    ArgentinaS1:oinnodeA;S2:finnodeAGreatBritain:S1:kinnodeGB,Subgame:isthatpartofthegametree,whichstartsfromacertainnodewhichisnotaterminalnode.LetI-'beasubgameofI-.TheneverystrategysofI-inducesastrategys'ofI-'accordingtotherulethatallmovesofswhichdefinebehaviorinanodeofI-'arealsomovesofs.

    Nashequilibrium=subgameperfect,iftheequilibriumstrategiesinduceaNashequilibriumoneverysubgameMethod:BackwardInduction(DemnachwirdimLaufedesVerfahrensrckwrts,alsoinRichtungdeserstenEntscheidungsknotens,derjenigePfadhervorgehoben,welcher

    frdenAkteurdiemaximaleAuszahlunggenerierensoll.DadieserPfadeinNash-GleichgewichtinjedemTeilspielinduziert,istdasresultierendeGleichgewichtauchteilspielperfekt)

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    DieRckwrtsinduktionsschritteinExtensivform:

    Schaubild1:DasletzteTeilspiel(GRN)wirdbetrachtet:

    Schaubild2:DaszweiteTeilspielwurdevereinfacht(ROTmitrationalerAuszahlungausGRN):

    Schaubild3:DaskomplettinduzierteSpiel(BLAUmitrationalenAuszahlungenausROTundGRN):

    http://de.wikipedia.org/wiki/R%C3%BCckw%C3%A4rtsinduktionTheUltimatumGame:Proposersplitsamountofmoney,respondercanacceptorreject

    TheGameofTrust TheCentipedeGame

    Generalization1:infinitelymanystrategies(InvestmentGame,GiftExchangeGame)Generalization2:infinitelymanyperiodsGeneralization3:incompleteinformation(esp.signalinggames)

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    ExperimentalResultsGenerally,thereismorecooperativebehaviorinTrust,Investment,andCentipedeGamesthanyouwouldexpectunderegoisticpreferences.2x2NormalFormGames

    PrisonersDilemmacooperationduetodifferentmonetarypayoffsandpreplaycommunication(noeffectintheory),nocooperationwhenrematching(repeatedgameswithrandomstrangers)Matchinggamewith2equilibria(ResultsofMatchingGameswithCommonInterest),selectionmaybefocalorphysicalprominent,differencebetweenmatchingandpicking(salience)Gameswithdifferentinterests:BOScommoncoordinationfailure(likepredictedinmixednash

    equilibrium),solution:one-waycommunicationbutnottwo-waycommunication,effectoftiming(lowermismatchwhenknowingthatrowplayedfirstbutnotknowingwhatrowdid)ChickenGame:AggressiveStrategychosenmoreoftenthanpeacefulstrategybutIthinknotsignificantly(39:33)CournotExperiments

    Furtherresultsofameta-studybyEngel(2007)emphasizethattherearemanyinteractioneffects,i.e.oftenitisnotpossibletolinearlydisentangletheeffectsofdifferentvariables:

    competitionwith(in-)homogenousgoodsand(a-)symmetricplayersyieldlowerpricesandprofits(-)orhigherpricesandprofits(+)thantheNashequilibrium,accordingto:

    competitionwith(in-)homogenousgoodsandplayerswhoarere-matchedeveryround(partners)orgetnewco-playersineveryround(strangers)yieldlowerprices

    andprofits(-)orhigherpricesandprofits(+)thantheNashequilibrium,accordingto:

    Furtherinteractioneffects:2competitors=partnerscolludemoresuccessfullythanstrangers;morethan2:strangerscolludemorethanpartners.Thisresultchangesiffeedbackinformation(aboutbehaviorinpreviousrounds)isgivenalsoforstrangers.UltimatumExperiment

    Proposeroffers30to50percent,offersbelow20percentarerejectedhalfofthetimeoftenoptimum:give50%

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    Vendettas(Rachefeldzug)

    =lesscooperationthantheorypredicts 2playerswithcertainprobabilitytowinaprize,probabilitytostealfromone

    anotherwithanefficiencylosssumofprobabilitiesdecreases SubgameperfectNashequilibrium:nostealing Experiment:60-80%ofthegamesendedwithprobabilitiessmallerthan10%

    Lecture5TemporalEffectsandSelf-Control

    DiscountinganTemporalDistortionIntertemporalConsumption

    Jahr1:1000Jahr2:1000*(1+r);r=interestrateJahr1:1000/(1+r)Jahr2:1000;r=discountrate(presentvalueof1000tomorrow)1/(1+r)=discountfactordr=(1-d)/dIfdiscountfactorishigh(closetoone,ordiscountrateisverylow)whathappensinthefuturemattersagreatdeal,youdonotdiscountfutureverymuch=patience.Ifdiscountfactorislow(closetozero,ordiscountrateisveryhigh)whathappensinthefuturematterslittle,youdiscountyourfutureheavily=impatience.

    Exponentialdiscounting Hyperbolicdiscounting

    AgentsbehavioristimeconsistentE.g.Youpreferatoballtimesorbtoaalltimesoryouareindifferent

    asaparametergoverningthedegreeofdiscountingAgentsbehavioristimeinconsistentverycommon

    ChoicebetweensmallerearlierawardandlaterbiggerawardimpulsivitySourcesofinformationaboutdiscountratesare:

    Fieldstudies/observationsofrealdecisions(revealedpreference) Questionnairestudies(hypotheticaldecisions) Experiments(realdecisions)

    Often:Preferenceforpresentpleasures(lowdiscountfacto,highdiscountrate)Seefuturepleasuresonadiminishedscale

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    ResearchingDiscountRates

    Implicitdiscountratesarelarger(futurematterslittle)forsmallthanforlargesumsofmoney.(MagnitudeEffect)explainedbyperceptionsofabsoluteamountsandmentalaccounting

    Discountratesarelargerforgainsthanforlossesofequalmagnitude.(SignEffect)explainedbydebtorlossaversion

    Discountratesdeclinewithtimehorizon.(Non-ExponentialorQuasi-HyperbolicDiscounting)dynamicinconsistenciesinchoicesovertime

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    Hyperbolicdiscounting:profitabilityofinvestmentseemstobedifferentdependingonthetimewhenyouevaluateiti.ediscountingwith1/kinperiodkExamples

    Weaknessofwill Myopia Timeinconsistencies

    PlanningandSelf-Control=self-controlmechanismtosticktopreviouslyset(planned)goalsovertimeObservingChoicesovertime

    1.EndowmentEffectWillingnesstopay(WTP)vs.Willingnesstoaccept(WTA)

    Economictheory:WTP=WTA

    Experiments:WTP

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    Reasonsforarationalendowmenteffect Ownerspenttimeormoneyforthegood(honoringsunkcosts) Asymmetricinformationriskaversionofferless(lowerWTP) Differentqualitiesandasymmetricinformation:betterqualityissoldlessoften

    ornotatall

    2.StatusQuoBias=Donothingormaintainyourcurrentorpreviousposition

    Example:Notquittingonesjob,notchangingonesfieldofstudies,ornotmakingadivorce,notdroppingoutofbusiness(maybestrategic)

    Reason(mayberational):incompleteinformationaboutalternativesbutcompleteinformationaboutstatusquo,hightransactioncosts

    3.PreferenceoverProfiles

    Notonlyprefernowoverlaterbutalsoutilitystreamsovertime

    Preferred:utilityspreadandincreasingutilityprofiles(e.g.cleaningnowandgoingtothemovieslaterisbetter)negativetimepreferences

    Peakendrulespecifiesordersofeventshighestutilitytooccurlast

    MeansofSelf-control(3strategies)

    1. Possiblephysicalormentalrestrictionofthedecisionspace:actsofpre-commitmentorpersonalrules(e.gbudgeting)

    2. Manipulationofenvironmentalstructurea. Addingsituationalcomponentswhichsupportdesiredactivityb. Removingdeviationevokingstimulic. Perceptionofeventscostsandbenefits(elaboration,grouping,temporal

    factors)3. Changethecontingency(Zufall)structure:sidebetswithpenaltiesandrewards

    PrecommitmentIndividualhaschoseninthepresenttodo(ornottodo)somethinginordertocontrolthewayinwhichitwillrespondtoparticularsituationsinthefuture.Socialsettings:Signalingprecommitmentiscrucial,e.gcuttingcreditcard

    MentalaccountingStructuringcreditsanddebits,distinguishingdifferenteventcategoriessourceofmoneyaffectshowitisspentMentalaccountsconstrainoptimization,restrictfungibility(bertragbarkeit)

    Savingforahousewith2,5interestrateonbankaccountandatthesametimebuyingacarwithaloanat5%

    Getmoneyforbirthdayanddon'tspenditforpayingelectricbillProcrastinationorchoosingnottochooseNaifs(hyperbolicdiscounters)notawareofanyself-controlproblems

    Sophisticatedhyperbolicdiscouners:areawarebutoftenovercompensateorpreproperate(doingsthearlywhichwouldbebetterdoinglater)

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    Lecture6IndividualDifferencesandEmotions

    IndividualCharacterizations

    Psychology:manyindividualdifferences Economy:focusonriskypreferences Learning=oneprocessleadingtoindividualpreferences,+corresponding

    strategyselection=fundamentalcriterionforoptimaldecisionsBehaviorunderRiskandUncertainty(keyfeaturesofmost(complicated)decisions)AssumptionsofSEU(Subjectiveexpectedutility)

    Risk=nottoknowtruestateoftheworld,butprobabilities Uncertainty=notknowtheprobabilitiessubjectiveprobabilities Maximizeexpectedutility

    Composelotteries:allowingx,yalsotobelotteries=allowingtodealwithmorethantwostatesoftheworld

    Neumann/Morgenstern/Savage-Axiomsfordecisionunderrisk:assumptionsof

    behaviorwhichguaranteeexistenceofutilityfunctionusedmaximizeEURiskSeekingandLossAversionApersonisgiventhechoicebetweentwoscenarios,onewithaguaranteedpayoffandonewithout.Intheguaranteedscenario,thepersonreceives$50.Intheuncertainscenario,acoinisflippedtodecidewhetherthepersonreceives$100ornothing.Theexpectedpayoffforbothscenariosis$50,meaningthatanindividualwhowasinsensitivetoriskwouldnotcarewhethertheytooktheguaranteedpaymentorthegamble.However,individualsmayhavedifferentriskattitudes.Apersonissaidtobe:

    risk-averse(orrisk-avoiding)-ifheorshewouldacceptacertainpayment(certaintyequivalent)oflessthan$50(forexample,$40),ratherthantakingthegambleandpossiblyreceivingnothing.

    risk-neutral-ifheorsheisindifferentbetweenthebetandacertain$50payment. risk-loving(orrisk-seeking)-iftheguaranteedpaymentmustbemorethan$50(forexample,

    $60)toinducehimorhertotaketheguaranteedoption,ratherthantakingthegambleandpossiblywinning$100.

    Theaveragepayoffofthegamble,knownasitsexpectedvalue,is$50.Thedollaramountthatthe

    individualwouldacceptinsteadofthebetiscalledthecertaintyequivalent,andthedifferencebetweentheexpectedvalueandthecertaintyequivalentiscalledtheriskpremium.Forrisk-averseindividuals,itbecomespositive,forrisk-neutralpersonsitiszero,andforrisk-lovingindividualstheirriskpremiumbecomesnegative.

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    ThedifferencebetweentheutilityoftheexpectationvalueandexpectedutilitydependsonthecurvatureofU(x).(ErwarteterNutzenausSpielE(U)istgreralsNutzenE(EW)deseigenenErwartungswertdesSpielsE(W)zb50riskseeking)Wedonotwantthemeasuretodependonlineartransformationsofx(seeabove).

    Arrow-Pratt-Measure(ofabsolute/relativerisk-aversion)Themoststraightforwardimplicationsofincreasingordecreasingabsoluteorrelativeriskaversion,andtheonesthatmotivateafocusontheseconcepts,occurinthecontextofformingaportfoliowithoneriskyassetandonerisk-freeasset.Ifthepersonexperiencesanincreaseinwealth,he/shewillchoosetoincrease(orkeepunchanged,ordecrease)thenumberofdollarsoftheriskyassetheldintheportfolioifabsoluteriskaversionisdecreasing(orconstant,orincreasing).Thuseconomistsavoidusingutilityfunctions,suchasthequadratic,whichexhibitincreasingabsoluteriskaversion,becausetheyhavean

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    unrealisticbehavioralimplication.Similarly,ifthepersonexperiencesanincreaseinwealth,he/shewillchoosetoincrease(orkeepunchanged,ordecrease)thefractionoftheportfolioheldintheriskyassetifrelativeriskaversionisdecreasing(orconstant,orincreasing).

    r(u)=independentofabsolutemagnitudeofutilityandunitofutilityr:locallydefined=measurelocalriskaversionThestrongertheconcave(convex)curvatureofU(x)thehigherisriskaversion(riskseeking)Utilityonitsownisnotabletocapturedifferencesingeneralriskaversion.

    ProblemswithscaleMustpeopleberiskneutralwithrespecttosmallbets?(Rabin2000)

    Whatwouldbetheconsequenceifsomeonealways,i.e.foreverywealthx,rejectsthefollowinglottery(L)againstthealternativewin/lose0Euro?L=win11withprobability0.5;loose10withprobability0.5.Therejectionofthelotteryimplies:0.5U(x10)+0.5U(x+11)

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    ProspectTheory

    Kahneman/Tverskydifferenceinchoicesunderuncertaintyavoidanceoflossesorseekingofrisk

    ImportantElements:o Referencepointfromwhich

    gainsandlossesaredetermined(makethebestoutofsituation,adapttocomfortableoruncomfortablesituations)

    o Valuefunctionovergainsandlosses(S-shaped,risk-averseforgains,riskseekingforlosses,atRP:steeperforlossesthanfor

    gains)o Transformationofobjectiveprobabilities(lowprobabilitiesareoverweighted(ziehenesmehrindieEntscheidungsfindungein),highpareunder-weighted)

    Differentutilitycurvesforgains,losses,probabilities,varyingreferencepoints Alwaystransformsituationinprospecttheorylanguagedescribedecisions

    andreferencepoint

    EndowmentEffect

    FramingshiftofreferencepointCase1:Scenariosdescribedthatlivescanbesavedriskaverse(gains)Case2:Scenariosdescribedthatlivesarelost riskseeking(losses)Advantages DisadvantagesProspectTheorycanexplainanumberofphenomena,oftencontradictingstandard

    economictheory.

    Thereissomearbitrarinessinexplainingthesituation,inparticularwithrespectto

    thereferencepoint.Itistoosimple:realevaluationsare(sometimes)morecomplex.

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    DecisionswithEmotionsDefiningEmotions

    1. Emotionsarenecessarytoeducatestatesanddecisions;theyprovideuswithourgoalfunction.

    2. Emotionshelptoselectandstoreimportantinformation.3. Emotionsprovideuswithtoolsofself-commitment,whichhelptocopewith

    othersandwithourselves. Classifiedinacontinuumorasdistinct(basic)states

    RobertPlutchiksclassificationin8primaryemotionsPrimaryemotionsblendtogethertoformfullspectrumofhumanemotionalexperience.

    Relatingeachbehaviorwithsurvivalvalue,partofbiologicalheritage.Ekmanslist(1)anger(2)fear(3)sadness(4)happiness(5)disgust

    (Experiments)

    EmotionsandEvaluation(Lazarus) TaxonomyofCoreRelationalThemesforvariousemotions,helpdefinefunction

    andelicitingconditions Offenseagainstmeandmineforanger Immediate,concrete,overwhelmingphysicaldangerforfear Irrevocablelossforsadness Takinginorbeingtoclosetoanindigestibleobjectfordisgust Reasonableprogresstowardrealizationofagoalforhappiness Example:marriagepartner,chosefood,crossingstreet

    EmotionsandExperience

    Emotionscarryexperienceswisdom Speciesandindividualexperiences,(e.gfoodtaste,landscapepreferences,fearof

    certainanimals,prejudicecopingwithpeople) Prejudice:tooyoungandoldpartners,ugly=illnessadvantageous Betterlearningwheninformationaccompaniedbystrongemotionsselect

    appropriatereactionincertainsituation(i.e.self-commitment,Herdplatte) Iftheothersteals,theangrypersonisworseoffthantherationalpersonbutthe

    otherwontstealifyouareanangrytype.

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    RegretTheory

    Feelregretwhenyoumakedecisionandfindoutitwaswrongdecision. Takeanticipatedregretintoaccountwhentheydecidelossaverseness Powerfuldissuaderorcreatespecificmotivationtodoonethingtoavoid

    somethingelse Modifiedutility=contextdependent

    andavailablealternativescaninfluencethechoicebyanticipatedregret

    LearningandAdaptionStrategySelectionandLearning

    Learning=fundamentaldriverofoptimization Learningcurvesindifferentdomainsexpectsteepcurveatbeginning,

    flatteningoutoverrepetitions Learningofstrategiesindifferentenvironmentsoptimizationstrategy

    selection(adaptiontodifferentenvironmentaltaskcharacteristics) 2differentstrategiesrelyonlearningperformancesticktostrategyor

    switchtotheotherone Example:TakeTheBest(TTB)vs.WeightedAdditive(WADD)=formoflinear

    informationintegrationo TTB:inanon-compensatoryenvironmentfromprob.=0,5to0,7after

    severaltrialblockso WADD:inacompensatoryenvironmentfromprob.0,5to0,75after

    severaltrialblocks

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    ImitationandAdaption

    Copyingandimprovementofexistingstructuresdevelopmentofnewdesignforsolvingproblems

    Catchinganaircraftwithtailhookandarrestingwires,plusradiocommunication,lightssignalsindifferentcolorsfromdifferentangles

    Bionics(biology+electronics):applicationofmethodsandsystemsfoundinnaturetothestudyanddesignofengineeringsystemsandmoderntechnology

    Imitationdesirableevolutionpressureforcesnaturalsystemstobecomeoptimizedandefficient

    E.g.lotuseffect,sonar,radar,hullsofboatsfromdolphins,artificialneuralnetworks

    Implementingfunctionfoundinnatureratherthanjustimitatingbiologicalstructureformofappliedcase-basedreasoning(natureasdatabaseofworkingsolutions)

    Modelingtechnologybasedon3biologicallevelo Mimickingnaturalmethodsofmanufactureo Imitatingmechanismsfoundinnature(velcro)o Studyingorganizationalprinciplesfromsocialbehavioroforganisms,such

    asflockingbehaviorofbirdsoremergentbehaviorofbeesandants E.g.Velcro,catseyereflectors,morphingaircraftwings,pineconeclothing,

    architecturebasedonstructureofhumanbonesorplantsExamplesandboundedrationalityareconnectedontwolevels:

    1. Natureinventedallthesecleverdesignswithoutanyplanning:trialanderror,i.e.variationbythemixingofgenesormutationandevaluationbydeathorsurvival.

    2. Menimitatenature,eitherbyadoptingitssolutionsorbyadoptingitsmethods(geneticalgorithms,forexample).

    Noteagainthatimitation(ofsuccessfulbehavior)isoneofthemostpowerfulprinciplesofboundedrationality.

    Lecture7SocialBehavior

    SocialMotives

    Peopletakesocialconsequencesintoaccount Careaboutownwell-beingandalsoaboutthatofotherpersonsFairness

    Concerningdivisionofresourcesallrecipientsreceivefairamount ProportionalDivision:Eachplayergetsatleasthis/hershare. ExactDivision:Everyplayerassumesthateveryonereceivedexactly(neither

    morenorless)theirfairshare. EquitableDivision:Thereceivedproportion,bytheirownevaluation,isthesame

    foreveryplayer. Envy-FreeDivision:Noonewantssomebodyelsessharemorethantheirown. EfficientDivision(Pareto-Optimal):Nootherallocationwouldmakesomeone

    betteroffwithoutmakingsomeoneelseworseoff.

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    TheContestedGarment:Twoholdagarment;oneclaimsitall,theotherclaimshalf.Thentheoneisawarded34,theother14.Theprincipleisclear.Thelesserclaimantconcedeshalfthegarmenttothegreaterone.Itisonlytheremaininghalfthatisatissue;thisremaininghalfisthereforedividedequally.Notethatthisisquitedifferentfromproportionaldivision

    Spite:Phenomenonoccurringwhenaplayer'svalueofanallocationdecreaseswhenoneormoreotherplayers'valuationincreasesplayerwithspiteprefersallocationinwhichotherplayerreceiveslessthanmore.(30pfelvs2Bananen(toll))Avoidanceofinequality:specificformoffairness,differencesnegativeutilityforplayerAltruism

    Explainingaltruisticbehavior:KinSelectionandMemes Example:beegivinglifewhenstinging,human:religion(common>individual)

    DictatorGame(Dictatorendowedwithmoney,cangiveasmuchashelikestobeneficiary)1. PureAltruism(mostfrequentlyuseintheory):dictatorsutilityisinfluencedby

    thebeneficiarysincomea. UDictator=fD(xDictator,xBeneficary),xi=incomeofi

    2. BeckerianAltruism(Becker):dictatorsutilitydependsonthebeneficiarysutilityUndercompleteinformationitcanbesolvedtogetPurealtruism

    a. UDictator=fD(xDictator,UBeneficary)b. UBeneficary=fB(xBeneficary,UDictator)

    3. WarmGlow:actofgivingmakesthedictatorhappya. UDictator=f(xDictator)+g(YDB),b. Y(DB)=transferfromDictatortoBeneficiary,c. IfxBeneficiary=YDB,then(3)isaspecialcaseof(1).

    4. ReciprocalAltruism:dictatorsaltruismdependsonthebeneficiarysaltruismtowardher

    a. UDictator=f(xDictator,xBeneficary,aBD)b. aBDmeasuresthebeneficiarysaltruismtowardthedictator.

    5. AltruismasInequityAversion:wherethedictatorsutilityisinfluencedbythedifferencebetweenhisownandthebeneficiarysincome(thesearespecialcasesofpurealtruism

    o Standardgame:hardlyanydifferencesbetweenapproaches Restrictiontotransferhalftheendowment(hardlygivenmorethanhalf)dueto

    altruismasinequityaversion Morecomplicatedsituationsmaybegovernedbyalternativeoradditionalsocial

    motives,suchasconditionalcooperationorreciprocity

    Cooperation ColemandescribesCalculativetrust.Valuetrust>valuemistrust

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    ColemanHypothesis:rationalexpectationsabouttrustworthinessincreasingfrequencyoftrustwithaveragenetprofitabilityoftrust

    Mostcases:reciprocity(wecooperatewhenothercooperate)Reciprocity

    Respondingtopositive(negative)actionwithanotherpositive(negative)action Positivereciprocalactionsaltruisticactions Involvesimplicitexpectationoffuturepositiveactionsbybeneficiary Explainsmaintenanceofsocialnorms(maintainnorminabsenceofformal

    sanctions)punishingaction(negativewordssocialostracism) Cheaterdetectionandpunishmentinfluencedbythecontextdefiningsocialnorm

    CheaterDetectionWasonSelectiontask:Ifsomeonestaysovernightinthecabin,thenthatpersonmustbringalongabundleofwoodfromthevalley.

    A. Cheatingversion:cabininthealps,rumorsthatnotallhikeswhostayovernightcarryownshareoffood89%selectedrightcardstosolvelogicpuzzleB. Nocheatingversion:hikersbringwoodormembersofalpineclub,samecards

    only53werecorrect(alternativeversiondecreasecorrectness)IfcuedbytherulesofonepartyA(i.e.employees)ortheotherpartyB(i.e.employers)theresultscanchangeconsiderably.Ifanemployeeworksontheweekend,thenthatpersongetsadayoffduringtheweek.

    Amainlyturnedthefollowingcards:workedontheweekendanddidnotgetadayoff

    Bmainlytheothercards:didnotworkontheweekendanddidgetadayoffTitforTatStrategy(=Exampleforreciprocity,heuristic)

    1. Unlessprovoked,theagentwillalwayscooperate.2. Ifprovoked,theagentwillretaliate.(Rchtsich)3. Theagentisquicktoforgive.4. Theagentmusthaveagoodchanceofcompetingagainsttheopponentmorethan

    once.Despitethefactthatthetit-for-tatsneverwonamatchandthedefectorsneverlostamatch,thetit-for-tatsstillcameoutahead,becausethefinalscoreisnotdeterminedby

    thewinnerofmatches,butthescorerofpoints.Thetit-for-tatgainedmorepointstyingwitheachotherthantheylosttothedefectors.Themoretit-for-tatsthereareinthegame,themoreadvantageitistobeone.Reciprocityandconditionalcooperationisastrategyagainstfreeriders,whencheaterscannotbepunishedotherwise.Butnotethatoftenalsothelevelofdefectorshastoreachaspecificleveltobeadvantageousforthereciprocalagent.Furthercriticismisthealternationproblemandfinitegames.Example:2malebaboon,onedistractingalphamale,theothercopulatewithfemalereversedrolesforpaybackConditionalCooperation

    Peoplewouldliketocooperateifotherscooperate(providingapublicgood Notrelevantfordictatorgame(asymmetricpower)butforPublicGoodsand

    Solidaritygame

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    ConditionalCooperationwithPublicGoodsPotentialforreciprocalactionsbyplayersincreasestherateofcontributiontothepublicgood,providingevidencefortheimportanceofreciprocityinsocialsituationsPublicGoodGameasgeneralizationofPrisonersDilemma(>2player)

    AllnparticipantsendowedwithincomeE InvestpartxiofEresultinginatotalinvestmentx Allparticipantget(with1/n

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    Lecture8ExperimentalEconomics

    ExperimentalDesign

    Rapidgrowthoflaboratoryexperimentsconfidence Carefullycontrolledexperimentsdrawbetterinferencesthanavailablenon-

    experimentaldata Questions:howandwhatdetailtoreportexperimentalprocedures,whatdata,

    howtoaggregateforreportingpurposes,howtoanalyze Pitfalls:misinterpretthesignificanceandrobustnessofreportedresults Divergentpracticesamongexperimentaleconomistsaboutwhatunitofdatais

    called"anexperiment."(amatterofterminology,sometimesmasksdifferencesinreportingpracticesambiguityaboutwhatisbeingreportedandpublished

    StrictGuidelinesInducedvaluetheory:3necessaryexperimentalconditionstoinduceanagentscharacteristic.(Alwaysbesatisfiedtoensureeconomicallyvalidbehavior)

    Monotonicity(Monotonie)-prefermorerewardtolessandnotbecomesatiated Salience(Hervorspringen)-rewardmustdependonactions Dominance(berlegenheit)-subjectsutilitycomespredominantlyfromthe

    rewardmediumandotherinfluencesarenegligible +Procedureastransparentaspossible +Experimentreplicable

    FactorialDesign

    Differentinfluencesareseparatedintoseveralfactors,investigatedincombination

    Usuallyfullfactorialdesignextensiveexperiments Alllevelsofeachfactorarecombinedwithalllevelsoftheotherfactors Example:3factors(2with3levels,1with2levels)3x3x2(18trials) Allpossibleinteractioneffectsarecaptured Keyparadigms:

    o Independenttrialsasseparatesessionso Realismandcontrolledeconomicenvironmentso Parallelism(transferabilitytorealworlddecisions)o Understandresearchquestionsandpitfalls(instructions,payments,learning,setup,samplesize..)

    Simplifications:crossoverdesign,dualtrial,fractionalfactorialdesign..VariablesofInterest

    Dependent(focusvariables,hopetofindaneffect)andindependentvariables(varysystematically)

    Decisionexperiments:Process(decisionprocessitself)andoutcomevariables(describeresultofprocess)investigatedincombinationtofosteratheory

    E.g.TTB:predictionsaboutchoicebetween2alternativesandassumptionsabouttheprocessleadingtoresult Betweensubjectsdesign:effectondependentvariablesiscomparedfordifferentsubjects(oversubjects)

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    Withinsubjectsdesign:effectofdifferentlevelsofvariablesforonesubjectAdvantage:additionalnoise(individualpreferences)doesnotinfluencetheeffectofdifferentmeasures

    Withindesignismorepowerful,butpronetodemandeffects(esp.learning) Both:randomizationindirectcontroloveruncontrollablevariableslike

    demographicsorlearning

    ExperimentalStudies Experiment=goldenpathofscientificdiscovery Strongvariationsinwaysofcontrolledinvestigation,strongerrestrictionsin

    experimentaleconomics Mainfocusonexperimentalgames,individualdifferencesorunderlyingcognitive

    processes Laboratoryvs.fieldstudies

    Methods1. Classroomexperiments:simplyruninlectures2. Laboratorysetting:standard,bestcontrolofvariousvariablesofinterest(ViaLab

    atEUV)3. Fieldstudies:increaseecologicalvalidity

    a. Reducedrandomizationinfavoroforiginalityofbehavior(subjectpool,infolevel,commodity,norms)innaturalenvironment

    b. Artificial:decisionsituationsimulatedinthelaboratorywithspecificsubjectpool

    c. Framed:specificcharacteristicsaretakenintothelaboratoryd. Natural:takeplaceweredecisionsareusuallymade,participantsnot

    informedaboutmonitoringe. Quasineutral:describesituationsinnaturalenvironmentwhichare

    slightlymanipulatedtotesteffectofspecificchange4. Meta-analysis:investigateresultsfromdifferentstudies

    a. Aim:identifyunderlyingpatterns,relationofdifferentobservations(e.gthroughcommonmeasureofeffectsize)

    b. Identifycharacteristicsexplainingdifferencesinresultsc. Oftenimportantcomponentsofasystematicreviewprocedure

    Measurements

    Weber-Law +otherhypothesizedinterindividualregularities=resultofearlyresearchofuniversalcharacteristicsofperception

    Otherapproaches:interestedininterindividualdifferences(questionnairessurveys,testbatteries)

    Economics:regularitiesandvariationsinregardtobehavioralbiases,motives,attitudesimprovemodelsofsocialbehavior(e.g.includedifferenttypesofpeoplewithsocialmotives)

    Strategymethod:evaluatingfulldecisionspaceofapersonRiskMeasure

    Bestresearchedindividualcharacteristic:riskpreferences Attitudestowardsriskscanbeinferredbasedonindividualchoicesbetween

    lotteries

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    Systematicallyuseproposedsetofparedlotterychoices(AandB)classificationofriskaversion(loving)

    Majorityofsubjectisriskaverse Riskaversionincreaseswithstakesbutnotwithhypotheticalpayment

    RelativeOverconfidence Welldocumentedandeasytoresearchexperimentally Example:Viadrinastudents:mathematicalabilitiesrangeofothers,ownrange Averagestudentsrateshisownabilitieshigherthanthoseoftheaverage

    comparablestudent =Optimismbias

    Intrinsicversusextrinsicmotivation

    Introductionofpayment:canreducesupplyofvoluntaryservices,crowdingoutmightresult

    Manypeoplelikework,strongintrinsicincentivestodelivergoodresults Introductionofadditionalextrinsicincentivesmayreduceworkeffort Reasonsforcrowdingout(Verdrngungseffekt):

    o Feelingofdiminishedself-determinationoro Compensationforsocialvalueofanactivitymaybedisappointinglylow

    Thedestructionofintrinsicmotivationisusuallyirreversible,i.e.theabandoningofextrinsicmotivationdoesnotre-establishintrinsicmotivation

    Crowding-in:introductionofextrinsicrewardsfosteranactivityifthepriceforasocialactivityishigherthanexpected(signalingtheory)

    Negativepricestopunishunsocialbehavior:notworking

    Relationshipbetweenpositive/negativeincentivesandsocialbehaviorillustratedbyW-Effect(Adecreaseinproductivityisobservedforsmall,butnotforlargeincentive)

    Motivationofothersisimportantfortheownevaluation

    StiftungWarentestoderBIldZeitung?

    Lecture9DecisionofandWithinGroups

    GroupDecisions Mostdecisionsmadebygroupofpeople(family,firmsetc.) Decisionprocessdependingoninteractionswithothermember

    TendenciesofGroups

    Socialperception:processofacquiring,interpreting,selectingandorganizingsensoryinformationinfluencedby2factors

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    Structuralfactors:drivingsolelyfromthenatureofthephysicalstimuliandthenaturaleffectstheyevokeinthenervoussystemoftheindividual

    Functionalfactorsofperceptualorganizationderiveprimarilyfromtheneeds,moods,pastexperience,andmemoryoftheindividual(hungry)

    Allfunctionalfactorsinperceptionaresocialintheusualsenseoftheterm Differentperceptionsofthehungryandnot-hungrystudentscouldnotbedueto

    structuralfactors,sincethesamepictureswerepresentedtobothgroupsbutcouldbedueonlytothedifferencesinneedormotivationofthemembersofthetwogroups

    Social(functional)factorsreflectingthedemand(Bedrfnisse)ofthegroupcanstronglyguidegroupdecisionsandleadtogroupthink

    BehavioraltendenciesresultingfromsharedvaluesandreciprocalreinforcementGroupPolarization

    Observedtendency:riskyshift=lessconservativeandmoreriskydecisionsthanthosebyindividuals

    Groupactionmoreextremeversionofeachindividualspreferredaction Universalconfirmationbias=tendencytosearchfororinterpretinformation

    thatconfirmspreconceptions,avoidancewhichcontradictpriorbeliefs Anotherexplanation:supporttheory

    SupportTheory(Tversky)

    Explainjudgmentsbytheaggregationlevelofinformation P(packed)P(unpacked)P(constituent) Judgingprobabilityofdescriptiondependingon

    o Whatmemberspeoplebringtomindgivenadescriptiono Howsupportgetsaggregatedacrossthesemembers(supportvalue)

    Groupdecision:unpacksupportiveinformationandpackedcounter-supportiveinformation

    =Explanationfortheconjunctionfallacyandinvolvedheuristics(representativeness,availability)

    AdaptionofGroups

    Groupsadapttogether=specificstrategiesprevail Evolutionarilystablestrategy(ESS):adoptedbyapopulationofplayers,cannot

    beinvadedbyanyalternativestrategythatisinitiallyrare =EquilibriumrefinementoftheNashequilibriumthatisevolutionarilystable

    oncefixedinapopulation,naturalselectionaloneissufficienttopreventalternative(mutant)strategiesfromsuccessfullyinvading

    E(S,S)>E(T,S)orE(S,S)=E(T,S)andE(S,T)>E(T,T)(ThisdefinitionisthedefinitionofweakESS(oranevolutionarilysteadystate)

    ThestrongversionofESSis:E(S,S)E(T,S)andE(S,T)>E(T,T) Inmostsimplegames,ESSandNashequilibriumcoincideperfectly

    Strategy ESS

    Both(A,A)and(B,B)areaNashequilibrium.OnlyBisanESS.Bcan

    neutrallyinvadeapopulationofAstrategists,whereuponitwillcometopredominatesinceBscoreshigheragainstAthanAdoesagainstB.E(A,A)=E(B,A),butitisnotthecasethatE(A,B)>E(B,B).

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    WhileDstrategistsmaytemporarilyinvadeapopulationofCstrategistsbyscoringequallywellagainstC,theypayapricewhentheybegintoplayagainsteachother:CscoresbetteragainstDthandoesD.SoherealthoughE(C,C)=E(D,C),itisalsothecasethatE(C,D)>E(D,D).AsaresultCisanESS.

    Definition:xundysindzweiStrategienE(x,y)istderReproduktionserfolgeinesIndividuumsmitStrategiexineinerUmwelt,inderalleanderendieStrategieyausfhren.xistnurdanneineESS,wennfrallegilt:E(x,x)>E(y,x),oderE(x,x)=E(y,x)undE(x,y)>E(y,y)DerersteTeilderDefinitionistquivalentzumsogenanntenstriktenNash-Gleichgewicht,d.h.:xistbesteAntwortaufsichselbst.KeineandereStrategieschneidetgegenberxbesserab,alsxselbst.DerzweiteTeilsiehtvor,dass,wennStrategieyinreinerx-Umgebungnichteliminiertwird,dasiegleicherfolgreichist,xinreinery-Umgebungsichgegenberydurchsetzenkann-somitkanndiePopulationnichtvonxnachykippen.BeispieleIneinemPokerclubspielenalleSpielerdieStrategieX.NunkommteinfremderSpielerzuBesuch.WennseineandereStrategieYnichterfolgreichistunderkeinGeldgewinnt,dannisteswahrscheinlich,dasserzurStrategieXwechselt(ESSistwirksam).WennseineY-Strategieabergewinnbringendist,dannwechselnalleMitgliedervonStrategieXaufY.YistalsodieESS;einzweitesNeumitgliedmitStrategieYwrdenichtbesserfahrenalsdiejetzigenClubmitglieder.Angenommen,inEuropagbeeseineVogelart,diejedenHerbstnachSdenzieht.WennnuneinIndividuumauftritt,dassichinmildenWinterndazuentscheidet,inEuropazubleiben,dannhatesdenVorteil,dassesimFrhlingschondie(Nahrungs-)Ressourcenanzapfenkann,bevordieanderenVgelzurckkehren.MitbesserenFettreservenimKrperausgestattetistdasIndividuumnunfhig,besseralsalleanderenNachkommengrozuziehen.JeneVgel,dieimmernachSdenziehen,sterbenlangfristigaus,dasiesichschlechterfortpflanzen.EbensoistesfreineVogelartvonNachteil,immerinEuropazubleiben;derWinterknnteeinmalsokaltsein,dassvielevonihnensterbenunddanndievomSdenzurckkommendenVgeleinevielbessereAusgangslagebesitzen.DieESSderVogelartbestehtalsodarin,

    jenachMildedesWintersinEuropazubleiben.DasLehrbuch-BeispielderESSdasHabicht-Taube-Spiel:IndividuendergleichenPopulationwerdenalsHabichte(aggressiv,stark)undTauben(friedlich,ausweichend)eingeteilt.StteineTaubezueinerreinenTauben-Population,verndertsichnichts.Dasgleichegilt,wennsicheinHabichtzuanderenHabichtengesellt.EsgibtabervierbesondereFlle:EineTaubesttzuHabichten:DadieTaubedenKonfliktenzumBeispielumsFutterausweichtundsoKraftundKrperverletzungeneinspart,fhrtsieeineerfolgreicheStrategie.DazukannsiemittelsDrohgebrdenAggressivittvortuschenundkrftesparendHabichtenRessourcenabluchsen.EinHabichtsttzuTauben:DieTaubenmachendemNeuankmmlingPlatzundberlassenihmkampflosalleRessourcen.DerHabichtisterfolgreich.EineTaubeodereinHabichtsttzueinergemischtenPopulation,inderTaubenundHabichteimkorrektenZahlenverhltnis(entsprichtderESS!)vorkommen.FrdenNeuankmmlingspieltesnuneineRolle,oberhufigeraufeineTaubeoderaufeinenHabichttreffenwird.HatsichdiePopulationaufdie

    geeigneteMischungeingependelt,kannesihregalsein,obsichderEindringlingalsTaubeoderalsHabichtverhlt.DiesogenannteBrger-Strategie(engl./franz.bourgeois)entwickeltsichzurESSundsieistweitgehendimmungegenbereinerunausgewogenenHabicht-Taube-ZusammensetzungderPopulation.AlsBrgergilt:Wennmansichverteidigt,istmaneinHabicht;greiftmanjemandenan,verhltmansichwieeineTaube.ImwiederholtenGefangenendilemmaisteinePopulationausTit-for-tat-Strategiennichtevolutionrstabil.WhrendsieresistentgegenberDefektiere-Immer-Strategienist,kannsievonKooperiere-Immer-Strategienunterwandertwerden,wieeinfachanhandderDefinitionmitx=Tit-For-Tatundy=KooperiereImmernachgeprftwerdenkann:TFTgegenKooperiereImmerfhrtzugleichenAuszahlungenfrbeideSpieler,dahergiltBedingung1(E(x,x)>E(y,x))nicht.JedochgiltauchTeil2derBedingung2(E(x,y)>E(y,y))nicht,daauchindiesemFallbeideStrategienzugleichhoherAuszahlungfrbeideSpielerfhren.EinePopulationausKooperiere-Immer-StrategienkannwiederumvonDefektiereImmerunterwandertwerden.

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    Determineevolutionarystablesets:gamesplayedagainandagainwithdifferentpartnersinapopulation

    Strategiesnotchosenbyforesightandcalculationbutbyevolutionaryselectionbasedonfitnessandreproduction

    DecisioninGroups Socialaspects=largerole,decisiondependingonotherdecisionsresults

    dependonbehaviorofthegroupasawhole Searchforoptimalresultsingames:matchingmarket,publicgood,beauty

    contest,penaltygameMatchingMarkets

    Classicalproblem:matchspecificgoodsandpeople,esp.inseparablegoods Marriageproblem,allocationsofsitestofirms,employerandemployeeallocation Important:sharedfairnessperception Optimalallocationwouldyieldthehighesttotalresultforthegroup Mainlyresearched:optimalmatchinginstitution(centralizedorauctiondesign)

    PublicGoodsGame

    Inorderforcontributionstobeprivately"irrational"thetokensinthepotmustbemultipliedbyanamountsmallerthanthenumberofplayersandgreaterthanone.Otherthanthis,thelevelofmultiplicationhaslittlebearingonstrategy,buthigherfactors

    producehigherproportionsofcontributors.ParticipationratesdifferoverculturesandoversocialrewardsandpunishmentsBeautyContestGame

    nplayerschooseanumberbetween0and100.Thatplayerwhoisclosestto2/3oftheaveragewinsacertainamountofmoney.Inthecaseofdrawsthemoneyisdistributedrandomlytothewinners.Nash:Choose0.Stepsofreasoning:LeadingtoNash.

    Level0,whichwouldbethepreliminarystepofanyreasoning,translatesintonumbersthatarearbitrarilydistributedovertheinterval,resultinginexpectedvalueof50(50.5ifnumbersarefrom1to100)

    Level1reasoningis(2/3)50=33.33 Level2reasoningis(2/3)33.33=22.22 Level3reasoningis(2/3)22.22=14.8(...)

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    ThePenaltyGame

    Mostdifficulttoactrandomly Example:jumpdirectionofgoalkeeperandkickdirectionofthescorer Randomizedkicksbutgoalkeepernotoptimizing

    Reciprocity Keysocialperceptionfactors:trust,reciprocityandpunishment Reciprocity=responsiblefordevelopmentandstabilityofhumansocieties Expressionsinalllanguages:totfortat(wiedumir,soichdir),onehandwashes

    theother(positive),AugeumAuge(negative) Needadynamicenvironment,peopleactsequentially,repeatedly(contrastto

    altruism)SequentialGames

    Extensiveform,decisionsmadeoneaftertheotherwhileplayersmakemorethanonedecision(e.gcentipedegame)

    Choicedependsonsomeoneelseschoice,firstdecisiononlaterdecisions

    Reciprocalbehaviorasformofcooperationorsomeofaltruismmodels(inequityaversion)

    UltimatumGame:utilitiesderivedfromthematerialoutcomeswithinequityaversion(formula)describesactualobservation

    Gameoftrust:nash:Awouldnottrust,butwithinequityaversionformula

    trustandcooperation,butspecificlevelie.a.necessary(smallissometimesnotenough)

    Atrustbecauseheknowsbwillcooperate Atutwasgutesweilbauchwasgutestut.

    DassiehtauswiereziprozittRepeatedGames

    Describefrequentsocialbehavior,oftensamesituationoverandover(e.gcooperationattheworkplace,helpneighborsprisonersdilemma)

    GametheoreticequilibriumifPDplayed1000times? Nocheatsinrepeatedgame,alwaysdenynocooperationfromtheotherplayer Bothdecidetocooperatebutonlyiftheothercooperates Titfortat:mostsimpleandusefulstrategystartwithcooperationandproceed

    bycopyingotherplayerschoicefromthepreviousperiodAltruisticpunishment

    Prosperifallcontributetopublicgood(e.g.obeyrules,keepcommonapartmentclean,donotsteal,donothurtsomeone)

    Nocontributionpunishment(verbal,material,beating,exclusion Punishmentatacostforpunisher,believablethreatmayfostercontributions(=altruisticpunishment)Membersofthegroupcontributemoreinpublicgoods Butcounterpunishmentpossiblelessfirstpunishmentlesscontributions

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    EfficiencyWagesunderTitforTat Firmspaymorethanminimumwagesmoreandbetterapplicantsandworkers

    voluntarilychooseahighereffortlevelehigherprofitforfirmp(e) Chooseefficientwagewhichmaximizesprofit Highereffortlevelswithhighercostswhenpaidhigherwagesprovedbyhigh

    stakeexperimentsinRussiastrongpositivecorrelationHowtoreciprocate?

    Reciprocity=fundamentalbehaviorinhumansocietiesbutverycomplex! Basicruleissimple,applicationisnot Behaviorkindorhostile,howkind,howtomeasure,favorbychance,favoras

    unintendedsideeffect,well-meantcontraryofwell-done? Strictdistinctionbetweenintendedandnon-intendedharmsinlawas

    prototypicalsocialinstitution(helpandbreak) WhatdoesBbelieveaboutAsintentions?WhatdoesAbelieve,Bwillbelief

    aboutAsintention?Thelatterdetermines,whatAisgoingtodo!(Beliefsoverbeliefs!!!!)

    Notoftenpossibletofindoutintentionsandkindnessofaperson Repeatedinteractions:measureintentionsontheachievedresults Chancetotalkincommondilemmasituationsincreasedcooperationrate

    Lecture10DecisionAnalysisandResearchTechniques

    ExperimentalDataAnalysis Objective,aggregationinfair,neutral,clearmanner Documentsupportiveandopposingresultswithappropriatemeasures Datagathering:processvs.outcomedata,sortsofmeasures Correspondinganalysestodifferentsortsofdata

    Typesofdata

    Datacharacteristicsappropriatewayofdataanalysis 4Differentmeasurementscales(dataaggregationpossibilities)andstandard

    numericalmeasures Statisticaltestssortofdistributionofthedependentvariable

    DecisionLabs

    Differentdevelopeddecisionlabs:measuringprocessvariables Prominent:Mouselabdecisionprocessiscapturedbytheactualbehaviorof

    thedecisionmaker(e.g.eyetracker,chemicalmarkers) Choiceandprocess:compensatorystrategieslikeWADDassumemorecue-wise

    processingandnoncompensatorystrategieslikeEBAorTTBassumemore

    alternative-wiseprocessing Supportassumptionofanadaptivedecisionmaker Objection:onlysuccessfulimplementationsreported,nodescriptionoffailures

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    WaysofDataAnalysis

    Testdifferentrelationsbetweenindependentanddependentvariables Linear,parametricandnonparametricmodels Linearrelations:simplecorrelationorregressionanalysis Nonparametric:usedforotherdistributionalrequirements Qualitymeasures:leastsquares,maximumlikelihoodestimation(evaluateand

    comparefitinregardtoobservationaldata) Standardproblemsinmodelselection:dataoverfittingandflatmaxima

    OccamsRazor

    Universalscientificprincipleformodelfrugalityandsimilarsayings Pluralityisnottobepositedwithoutnecessity Possibleexplanationsbecomeneedlesslycomplex,toomanyspecifics Lesspredictivepower/universalityofthemodel Evaluation:AikakeInformationCriterionorBayesInformationCriterion

    ForecastingwithBiases

    Behaviorisbasedonexpectationsabouttheconsequencesofbehavior Rationalexpectations:makeunbiasedforecasts,ifothersarebetterinformed

    askorbuyinformation/advice Distinguishbetweenexpectationsdevelopedbythedecisionmakersthemselves

    andforecastsorprophecies(fromothers,inparticularfromthosenotaffectedbythedecisionsofthedecisionmaker)

    Difficult:formationofexpectations(GameTheory:expectationsareendogenized) Often:Behaviorbasedonroutine,onlypartlyaccountedconsequences,sourceof

    expectationsmaybeobscure,donotknowthatwereceivedinformationthatguidedourbehavior,impressionsaboutabilitiesandtrustworthiness Explicitforecastbyothersessentialroleforourdecisions(beliefinsuch

    propheciesmaychangeourbehaviorinawaywhichmakestheprophecycometrueorpreventitbecomingtrue)

    RationalExpectations(RE)useallavailableinformationefficiently?

    1. Microeconomictheory:REinvolvingefficientinformationprocessingasfundamentalassumption,peoplehaveperfectforesightorknowdistributionoffuturevariablesidealtheories

    2. Realdecisionmakers:noHO,haveanalteregoexperimenterREridiculousbuthowfaraway?Istherebetteralternative?

    3. Macroeconomics:realworlddevelopmentsandnotindividualbehavioraggregatedexpectationsfromREtoEfficientMarkethypothesis(weakerrequirement)individualcanrelyonthemarketbecauseofprofessionalspeculatorsresponsibleforefficiencyofpricestructure(marginaltraders)HayekHypothesis;+societyasawholeusesallinformation(decentralizedinformationprocessing)

    ImplicitTestsofREandotherHypothesesofExpectationFormation

    1. TestREinmacroeconomics:mixedresultsbutstilldominanthypothesis2. Existenceofbubbles(TulipMania,crashes)asargumentagainstREbuttypicallyfoundinassetmarketswithinexperiencedsubjects

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    3. ArgumentforEMH:non-existenceofsuccessfulspeculationmethod,somestudiesrevealpossibilityofsmallprofitsusingappropriatespeculationrulebutdecreasingwithtransactioncost

    DirectTestbyAnalyzingExpertForecasts

    Noaccurateforecasts,onlyinregionofnearcertainty(weatherfortomorrow) Rule:Naturally,thelongertheforecastingperiodtheworsetheforecasts. Notaccuratenotrational,rationalitydependingoninformationavailableand

    properlyandcompleteusage Tounderstandingprocessofexpectation,informationavailablehastobeknowin

    advanceandrelevantcriteriafordecisionproblemandinfluencingawardstructure,lossfunctions,goalfunctionalltypicallyunknown

    Differentinlaboratoryexperiments:subjectsgetexactlydefinedsetofinformationandwell-definedaward-structure

    TheBoundsandLikelihoodHeuristic Modelingofaverageforecasts,basedontimeseriesgestaltcharacterisitics Twocharacteristicsoftimeseriesimportantfortheforecasts:averagevariation

    andturningpoints Actuallypredictedchangedependsonlikelihoodthatxtisaturningpoint

    o Upswingcasext>xt-1probabilitythatxtisalocalmaximum(Ifinperiodtalllocalmaximaabovext,lowprobabilitythatxtisturningpointIfalllocalmaximabelowxt,i.e.xtverylikelytobeaturningpoint)

    o DownswingCase:xt

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    Self-Fulfillingprophecies Predictionthatdirectlyorindirectlycausesitselftobecometrue Falsedefinitionofthesituationnewbehaviororiginalfalseconceptiontrue Perpetuatesareignoferror,prophetseeseventsasproofthathewasrightfrom

    thebeginning Thomastheorem:Ifmendefinesituationsasreal,theyarerealintheir

    consequenceshowsituationsareperceivedandthemeaningassignedratherbysituationsthemselves

    Example:CartwrightMillingvilleBankbreakcyclebyredefiningthepropositionsonwhichthefalseassumptionsareoriginallybased

    Roleofself-fulfillingprophecies

    Inevitabilityofwar(TheWilltoBelieve):forexampleOedipus Fakeittillyoumakeit(actasif):imitateconfidencesothatastheconfidence

    producessuccess,itwillgeneraterealconfidence,methodofovercoming

    depression(forcehappinesstobecomereal) MooresLaw:computerhardwaretransistorsincreaseexponentially,doubling

    everytwoyearsdescribingdrivingforceoftechnologicalandsocialchange-industrystrugglestokeepupwithit(goalforentireindustry)

    PygmalionEffect(Rosenthaleffect,teacher-expectancy-effect):studentsperformbetterbecausetheyareexpectedtoandreverse

    CleverHansEffect:horseperformingintellectualtasksbywatchingreactionofhumanobserversrespondingtoinvoluntarycuesinthebodylanguagemakeexperimentsdouble-blind(neitherexperimenternorthesubjectknowswhatconditionthesubjectisinandresponses)orreplacingwithcomputer

    Lecture11DecisionSupport

    ProcessModels Processvariablescandistinguishbetweendifferentmodels(e.gcompensatoryvs

    non-compensatory) Theoreticmodels:processholdsvaluableinformationforempiricalsupport Heuristics=descriptionsofprocesswithsearchrule,stoppingrule,decisionrule Oftenprocessheuristicsasexplanationforobservedbehavior,w/o

    predictivevalueincontrasttoforexampleprospecttheory Gamblersfallacy:repeatedtossofacoinoutcomesarestatistically

    independent(sameprobability)butmaybelieveafterarowofsuccessiveheadsthatthenexttossmustbeatail

    Fallacy:Reasoningthatitismorelikelythatthenexttosswillbeatailthanaheadduetothepasttosses-thatarunofluckinthepastsomehowinfluencestheoddsinthefuturerepresentativenessheuristic

    LawofAverages:assumptionthatinsmallsamplestheoutcomesofarandomeventshouldevenout(didntoccursometime,mustoccurnext)

    Mostnaturallyobservedsequencesarenotindependent,probabilityofthefuturecanchangebasedontheoccurrenceofpastevents

    Probabilitymatching=strategysuboptimaloutcomesservesastheoreticalconceptforbehavior(hastwasbeobachtetVersuchschwaris>rotaberin

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    echtgibtesmehrrotekugelninderurne,verlierstdeswegen)subjectsrespondtothelightsinthesameproportionastheyoccur

    Animalsandhumansoftenmatchbaseratesintheirbehavior(Peoplecategorizeeventsaccordingtotheiroccurrenceinatrainingphase,althoughtheywouldachievebetterresultsiftheyalwaysgoforonecategoryifitsbaserateishigher)

    ProcessModelswithassumptionsaboutprocessandresultingchoicepredictionsEliminationbyAspects

    EliminationbyAspectsHeuristic(EBA)=decisionruleunderboundedrationality Recurringevaluationstilloneonalternativeleftforchoice Canbecombinedwithcompensatorystrategiesafterthechoicesetisinstructed EBA=lexicographicstrategyandnoncompensatory(likeTTB)quick

    decisionswithoftensameaccuracyascomplexcompensatorystrategies TTBforbinarychoices(only2alternatives) Concerns:rankingofattributesandsettingoftresholds1. Eachalternativeisviewedasasetofaspects2. Ateachstageanaspectisselected(themostimportantattribute)3. Allalternativesthatdonotincludethataspect(minimumforthisattribute)are

    eliminated4. Processstopswhenallbutonealternativeareeliminated

    DecisionFieldTheory(DFT)

    Computationalmodelofdecisionmaking,modelingdeliberation(berlegungen)asadiffusion(Streuung,Verbreitung)process

    Describeshowaperson'spreferencesevolveacrosstimeuntiladecisionisreachedratherthanassumingafixedstateofpreference

    Predictdecisionmakingunderuncertainty,resultingbehavior,alsoresponsetimesandcontexteffects

    Explainviolationsofstochasticdominance,violationsofstrongstochastictransitivity,violationsofindependencebetweenalternatives,serialpositioneffectsonpreference,speedaccuracytradeoffeffects,inverserelationbetweenprobabilityanddecisiontime,changesindecisionsundertimepressure,aswellaspreferencereversals

    Intuitively,ateachmomentintime,thedecisionmakerthinksaboutvariouspayoffsofeachprospect,whichproducesanaffectivereaction,orvalence,toeachprospect.Thesevalencesareintegratedacrosstimetoproducethepreference

    stateateachmoment. Thestoppingruleforthisprocessiscontrolledbyathreshold Choiceprobabilityisdeterminedbythefirstoptiontowintheraceandcrossthe

    upperthreshold,anddecisiontimeisequaltothedeliberationtimerequiredbyoneoftheprospectstoreachthisthreshold.

    Konsequenzenwerdensequentiellberdachtundintegriert,KontinuierlichwerdenmomentanePrferenzstadiengebildet,Aufmerksamkeitschwankt,bersteigteinPrferenzstatuseinenSchwellenwert,wirdeineEntscheidunggetroffen

    DFTnicelyexplainscontexteffects(i.e.,attraction,compromise,orsimilarityeffectscompareSessionII)byattentionshifts.

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    DecisionbySampling(DbS)

    AsalternativedecisionprocessmodelwithnounderlyingpsychoeconomicscaleslikeinProspectTheory

    Anattributessubjectivevalueisconstructedfromaseriesofbinary,ordinalcomparisonstoasampleofattributevaluesdrawnfrommemoryandisitsrankwithinthesample

    Samplereflectsimmediatedistributionfromattributevaluesfromcurrentcontextandbackground,real-worlddistribution

    Concaveutilityfunctions,losseslargerthangains,overestimatingofsmallprobabilities,underestimationoflargeprobabilities

    Evaluationsvaryfromoccasiontooccasion(accordingtoavailableitemsandmemorizedsamples)

    Alsoeventsoftimeappeartobeexponentiallydistributed,thus,explainingdiscountingeffectsbytherelativecomparisonsample

    DecisionSupportSystems Provideusefulinformationwhenneededandallowquickandefficientdecision

    making Questions:Howmuchinformationisavailable,howmuchshouldweuse DataCompression:Informationcanoftenbecompressedwithoutlossandis,

    then,easiertoprocess Frogandtoad:trytoeatallkindoflittlemovingobjects,don'tneedmore

    informationabouttheirprey,informationusedwhennecessaryandprocessedbysimplereinforcementlearning

    FundamentalprobleminDS:questionregardingindividualdemandhelpwithoutdemand=paternalism

    Well-being=multidimensionalandconditionsforhappinessdifficulttodefine Onorganizational/expertlevel:criteriaforoptimadecisioneasiertodefine

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    DecisionTrees

    Usedinoperationsresearch,decisionanalysiswithgraphormodelofdecisionsandpossibleconsequences

    IdentifystrategymostlikelytoreachagoalORtreeasdescriptivemeansforcalculatingconditionalprobabilities

    Easytounderstandandtoimplement,simplifieddecisionproblems Example:teachingofstatisticsandusingfrequenciesinsteadofprobabilities Medicaldecisions:strategywithhighsensitivity(e.gsendmostpatientsactually

    havingseriousheartproblemincareroom)andhighspecificity(e.gfewpatientsincareroomunnecessarily),fastdecision,transparencyofdecisionsystem

    Decisiontreesarefast,transparent,easytoteach,andtheycanbesurprisinglyaccurate

    CreditMonitoring:fastdecisionstoavoidlosses,transparent,easilycommunicatedelectroniccreditratingsystemsinloandecisionsinformofhierarchicaldecisiontreesoptimizeandformalizedecisionprocess

    Decisiontreepathallowsresultstobescroredagainstcreditpolicy,peergroup Electronicmonitoring:employeeperformancetracking,companyperformance Datamining:decisiontreeaspredictivemodel=mappingobservationsaboutan

    itemtoconclusionsabouttargetvalueclassificationtree,regressiontree(leavesrepresentclassificationsandbranchesrepresentconjunctionsoffeaturesthatleadtothoseclassifications)

    ErrorsandLearning

    Behavior=goal-orientedguidedbylearning(mostimportantmentalfunction) Errorlearninghypothesis:economicvariablescanbepredictedonthebasisof

    previousvaluesanderrormargin(adaptiveexpectationsprincipleforecastandrevisionaccordingtonewandcurrentinformation)

    Manydifferentformsoflearningascrucialroleforimprovingbehavior Errorsandcorrespondingcopingmechanisms:strengtheneconomicoutputs

    Non-associativeLearning

    Habituation:progressivediminution(Verminderung)ofbehavioralresponseprobabilitywithrepetitionofastimulus=integrationyoufirstreacttoastimulibutwhenitisneitherrewardingnorharmfulyoudon'trespondafterasecondstimuli(veryspecific)

    Sensitization:progressiveamplificationofaresponsefollowsrepeatedadministrationsofstimulus(e.g.rubarmwarmsensationpain(reminderthatitisharmful))adaptiveandmaladaptivelearningprocesses

    AssociativeLearning

    Classicalconditioning:repeatedlypairingunconditionalstimulus(evokesparticularresponse)withpreviouslyneutralstimulusconditionedresponse

    Operantconditioning(Lawofeffect):useofconsequences(reinforcementorpunishment)tomodifytheoccurrenceandformofbehaviordealswithmodificationofvoluntarybehavior

    Exploration(play) Behaviorwithnoparticularendinitself,improvingperformanceinsimilarfuture

    situations(e.g.catandmice)

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    Involvescost(foranimals):increasedvulnerability,riskofinjury,possibleinfection,energyconsuming

    Oppositeofexploitation(Nutzung)learnedability Usedinbeginningofnewtasktofindpossiblesolutions,adaptiveinchanging

    environments Importantforeconomicexperiments:allowforlearning,resultingbehaviorcould

    substantiallyimproveObservationalLearning

    Imitation:repetitionofobservedbehavior Humanscancopythreetypesofinformationsimultaneously:thedemonstrators

    goals,actions,andenvironmentaloutcomestuneintosurroundingcultureavoidlosses

    Imitation=mostpowerfulprinciplesofboundedrationality Learningbyimitationundervaluedinanimals(instinctswereassumedasdrivers

    forbehavior) Neednottoknowwhymodeofbehaviorissuccessful,canstillachieveitanyhow Centralquestions:WhomshouldIimitate?HowshouldIimitate? Rulesofthumb:http://rulesofthumb.org/

    Lecture12AppliedDecisionScience

    BehavioralFinance Behavioraleconomicsandfinance=closelyrelatedfieldsapplyingscientific

    researchonhumanandsocial,cognitiveandemotionalfactorstobetterunderstandeconomicdecisionsandhowtheyaffectmarketprices,returns

    Behavioralanalystsconcernedwitheffectsofmarketdecisions,publicchoice(biasespromotingself-interest)

    ConsumerBehavior

    Variationsinindividualdecisionmakingfindmeansforimprovement Examplesofindividuallyguidingprinciples:self-controlandmentalaccounting Applicationstospecificchoicesituations

    BehavioralLifeCycleHypothesis Incontrasttolife-cycletheory(stablelifestyle)enrichedbyself-control,mental

    accountingandframing Keyassumption:householdstreatcomponentsoftheirwealthasnonfungible

    (nichtaustauschbar,ersetzbar),evenintheabsenceofcreditrationing Wealthdividedincurrentincome(I),currentassets(A),futureincome(F) Temptationtospend:greatestforIandleastforF(behavioralobservation:

    saving,bonustreateddifferentthanregularincome,retireddonotdissaveenough)

    Plannerconcernedwithmaximizingfunctionoflifetimedoerutilities(U)withZ=pleasureandpain,W=willpower(psychiccosts) Zt=Ut+Wtnosingleutilityfunction(accountspecific),irrelevantfactors(i.e.formofpayment)canmatter,choicescanbestrictlyinthebudgetset

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    Naveruleinassetallocation:1/n-rulethemorechoicesareavailablethemoreassetsareselected,theamountisroughlythesameforall

    allocations(VerteilungBetraginetwagleich)

    Contradictiontoportfoliotheorywhereassetsshouldbeallocatedtoriskyandnon-riskyprospects

    BehavioralPortfolioTheory:efficientdiversificationofinvestmentismeasureddependentonnumberofmentalaccounts

    Differentimplicationsofsingleandmultipleaccounts

    portfolioresembleslayeredpyramidswherelayersareassociatedwithdifferentaspirations

    (Bestrebungen,Erwartungen)EffizienteverteilungvonInvestmentsaufverschiedeneSchichtenzbArmutvermeiden,undindemanderenMentalAccountaufReichtumerabzuzielen.

    Anotherapplicationforconsumerdecisionmaking:DoubleEntryMentalAccountingSystemconsumptionexperienceisdecreasedbythepaymentexperienceovertimedifferenttimelydistributionsofpaymentsleadtodifferentlyexperiencedutility

    Insomecircumstancescoupling(i.e.,fixedfeeforhealth)andinothersdecoupling

    (i.e.,buyersusingcreditcards)increaseoverallexperiencedutility.Hence,hyperbolicmentaldiscountingisoftenexploitedbyofferswithdelayedpaymentswithhighpainsofthepayment

    experienceanddepletedutilityofconsumptionexperiencelater.

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    PolicyImplications

    Behavioralobservationswithstrongimplicationsforappliedpolicies(applicationpotentials)

    ProminentapproachLibertarianPaternalism(formofeconomicguidance) Influencingbehaviorandalsorespectingfreedomofchoice Oftenpeople'spreferencesareunclearandill-formed,andtheirchoiceswill

    inevitablybeinfluencedbydefaultrules,framingeffects,andstartingpointspaternalismcannotbeavoided

    Steerchoicesinwelfare-promotingdirectionsw/oeliminatingfreedomofchoice(tools:boundedrationality,boundedself-control)

    Itisalsopossibletoshowhowalibertarianpaternalistmightselectamongthepossibleoptionsandtoassesshowmuchchoicetooffer

    Subjectsratedmeanportfolioequallytoownportfolioandmedianportfoliosignificantlymoreattractivepeoplenotgainmuchbychoosingportfoliosforthemselves

    SafeMoreTomorrowPlan:influenceretirementsavings

    1. Employeesareapproachedaboutincreasingtheircontributionratesaconsiderabletimebeforetheirscheduledpayincrease.Becauseofhyperbolicdiscounting,thelagbetweenthesign-upandthestart-updateshouldbeaslongasfeasible.(Automaticenrollmentlater)

    2. Ifemployeesjoin,theircontributiontotheplanisincreasedbeginningwiththefirstpaycheckafteraraise.Thisfeaturemitigatestheperceivedlossaversionofacutintake-homepay.(Nocomparableloss)

    3. Thecontributionratecontinuestoincreaseoneachscheduledraiseuntilthecontributionratereachesapresetmaximum.Inthisway,inertiaandstatusquo

    biasworktowardkeepingpeopleintheplan(defaultrule).4. Theemployeecanoptoutoftheplanatanytime.

    Mostpeople(78%)whowereofferedtheSMTplanelectedtouseit;virtuallyeveryone(98%)whojoinedtheplanremainedinitthroughtwopayraises,andthevastmajority(80%)remainedinitthroughthethirdpayraise;andtheaveragesavingratesforSMTplanparticipantsincreasedfrom3.5to11.6%overthecourseof28months.

    Consider:willingnesstotakeprecautionsdecisiontobuyinsuranceisproductofrecenteventsandnotsystematicinquiryofcostsandbenefits(peopledonot

    chooseoptimallyevenwhenthestakesarehigh) Defaultplansaffectoutcomes,existingarrangementisoftenrobustillustration

    byautomaticenrollmentphenomenonincontrasttoopt-inmodelsthereisahigherenrollmentinopt-outmodels(onlyfewopt-out)

    ActualbehaviorishighlysensitivetoplandesignfeaturesMinimalpaternalismistheformofpaternalismthatoccurswheneveraplanner(privateorpublic)constructsadefaultruleorstartingpointwiththegoalofinfluencingbehavior.Solongasitiscostlessornearlycostlesstodepartfromthedefaultplan,minimalpaternalismismaximallylibertarian.Thisistheformofpaternalismthatisdescribedasinevitable.

    Unsureofwhatchoiceswillpromotewelfare,aplannermightrejectdefaultplansorstartingpointsentirelyandforcepeopletochooseexplicitly(requiredactivechoices).

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    MoreAggressiveformsofPaternalism Defaultplanaccompaniedbyproceduralconstraintsdesignedtoensurethatany

    departureisvoluntaryandentirelyrationalitisnotcostlesstodepartfromthedefaultplan

    Justificatio