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ElectoralFormulaandFragmentationinHongKong
JohnM.CareyDepartmentofGovernment
DartmouthCollegeHanover,NH03755
http://sites.dartmouth.edu/jcarey/
AbstractThedirectlyelectedrepresentativestoHongKong'sLegislativeCouncilarechosenbylistproportionalrepresentation(PR)usingtheHareQuotaandLargestRemainders(HQLR)formula.Thisformularewardspoliticalalliancesofsmall-to-moderatesizeanddiscouragesbroaderunions.HongKong'spoliticalleadershaverespondedtothoseincentivesbyfragmentingtheirelectoralalliancesratherthanexpandingthem.TheleveloflistfragmentationobservedinHongKongisnotinherenttoPRelections.AlternativePRformulaswouldgenerateincentivestoformbroader,moreencompassingalliances.Indeed,mostcountriesthatusePRemploysuchformulas,andthemostcommonlyusedPRformulawouldgenerateincentivesoppositetoHQLR's,rewardingbroaderelectoralalliancesratherthandivisions.KeywordsHongKong,LegislativeCouncil,elections,electoralsystem,proportionalrepresentation
DRAFT:June9,2016
IntroductionHongKong'spoliticalagendahasfeatureddebatesinrecentyearsoverhowitstopofficial,thechiefexecutive,iselected(Langer2007,Zhang2010,Ip2014,Young2014).ThispaperreviewshowtherulesforelectingHongKong'slegislatorshaveaffectedpartysystemdevelopmentandlimitedtheeffectivenessoftheLegislativeCouncil(LegCo).BuildingonexistingscholarshiponhowvotesaretranslatedintoLegCorepresentation,IexaminehowelectoralrulesshapethestrategiespursuedbyHongKongpartyleaders.IalsoplaceHongKongelectionsinabroadercomparativeperspective,illustratinghowLegCoelectoraloutcomeswoulddifferundertheproportionalrepresentationformulamostcommonlyusedindemocraciesaroundtheworld.AndIshowthatevenbehaviorthatseemscounterproductive,suchasfailingtoformbroadalliances,isastrategicresponsetoHongKong'selectoralrulesratherthanasymptomofpoliticaldysfunction.ManyobservershavenotedthatHongKongelectionsarecharacterizedbyintensefragmentationoflists.MostnotablyMaNgocandChoyChi-keung,inavarietyofinvestigations(discussedbelow),haveemphasizedthattheformulaforlistproportionalrepresentation(PR)usedinHongKong,knownasHareQuotawithLargestRemainders(HQLR),encouragesfragmentation.Ratherthanrewardinganelectoralallianceforunitingasmanyvotesaspossibleunderonebanner,HQLRpunishesbigwinnersandencouragespoliticalalliestodivide.TheeffectofHQLRistohinderthedevelopmentofstrongpartieswithencompassingplatforms,limitingtheLegCo'spotentialasarepresentativeinstitution.MostdemocraciesthatuselistPRtoelecttheirlegislaturesdonotuseHQLR,andthemostcommonlyusedPRformularewardslistsizeratherthanpunishingit.ThispaperdemonstratestheextenttowhichanalternativePRformulawouldproduceincentivestounitepartylists,andcontraststhesewiththeincentivestofragmentpresentinHongKong.ItalsoillustratestheopportunitycostsHongKongpoliticianswouldconfront,giventherulesunderwhichtheycompete,iftheydidnotfragmenttheirlistsandinsteadpursuedunifiedalliances.Thepaperproceedsasfollows.First,IcomparethemechanicsoftheHQLRformulawiththemostcommonlyusedPRformulaworldwide,theD'Hondtdivisorsmethod.Next,Iillustratethephenomenonunderconsideration,thepatternofpartyandlistfragmentationinLegCoelectionsunderHQLR.ThenIreviewthekeyinstitutionaldesigndecisionsthatproducedthecurrentelectoralsystem,whatpriorscholarshiphastosayaboutthesystem,andwhatthispaperadds.ThenextsectionintroducestheideaofelectoralefficiencyanddemonstratesthatHongKongpartyleadershaverespondedtotheincentivesHQLRgenerates,butthattheincentivesunderD'Hondtwouldbestarklydifferent.ThelastsectionlocatesthecaseofHongKongincomparativeperspectiveandconsiderstheeffectsofelectoralsystemdesignondemocracyinthespecialadministrativeregion.PRFormulasThetwomostcommonformulasforallocatingseatsinlistPRsystemsaretheHQLRandtheD'Hondtmethods.Despitetheircommonpurpose,themethodsdiffermechanicallyandintheireffectsonelectoraloutcomes.HQLR:Thebasicprinciplehereistoseta“retailprice,”inthecurrencyofvotes,atwhichseatsineachelectoraldistrictmaybe“purchased”bylists.Thatprice,orquota,isdeterminedby
dividingthetotalnumberofvalidvotescastinadistrictbytheDM.1Aftervoteshavebeentallied,eachlistisawardedasmanyseatsinthedistrictasfullquotasofvotesitwon.Foreachseatawardedinthismanner,aquotaofvotesissubtractedfromthelist’sdistricttotal.Ifnotallseatsinthedistrictcanbeawardedonthebasisoffullquotas,anyremainingseatsareallocated,oneperlist,indescendingorderofthelists’remainingvotes.Theseseats,therefore,arepurchasedforlessthantheretailprice(orquota)foraseat.Liststhatwinseatsonthebasisoftheirremaindersare,effectively,buyingseats“wholesale,”atreducedprices.Notethat,underHQLR,itisvirtuallyimpossibleforallseatsinadistricttobepurchasedatretailprice,sotheHQLRmethodalmostguaranteesthat,withinagivendistrict,listswillpaydifferentpricesforseatstheywin.D'Hondt:UnderD'Hondt,allseatsareawardedaccordingtoauniformprinciple.Ratherthansetapriceinvotesforthepurchaseofseats,divisorsmethodsusethetalliesofvotesacrossliststoestablishamatrixofquotientspertainingtolists,thenallocateseatsindescendingorderofquotientsuntilalltheseatsinagivendistrictareawarded.Ahypotheticalexampleillustrates.Imagineadistrictinwhichfourlists–A,B,C,andD–competeand1,000votesarecast.ThevotesaredistributedacrosslistsasillustratedinTable3:405,325,185and85,respectively.D'Hondtproceedsbycalculatingamatrixofquotientsbydividingeachlist’stallybythesequenceofintegers1,2,3,andsoon.ThesequotientsareshowninthesuccessiverowsofTable3.
[Table1]Oncethematrixisconstructed,seatsareawardedinthedescendingorderofquotients.Inthisdistrict,forexample,ifDM=6,thenthedistributionofseatsunderD'HondtwouldbeA(3),B(2),C(1),D(0).Bycontrast,underHQLRtheseatdistributionwouldbeA(2)B(2),C(1),D(1),thusbenefittingthesmallestlistanddisadvantagingthelargestrelativetoD'Hondt.ThesetwoformulasarebyfarthetwomostcommonlyusedamongdemocraciesthatelecttheirlegislativeassembliesbylistPR.2Forty-fourdemocraciesuseD'Hondt,HQLRissecondatthirty-six,andanotherfifteencountriesusevariants–eitherincreasingtheintervalsbetweendivisors(forexample,GermanyorNewZealand),orestablishingasmallerquota(forexample,SouthAfrica),orcombiningdifferentformulasfortheallocationofseatsindifferenttiers(forexample,BelgiumorGreece)(Colomer2004;Nohlen2005;Wikipedia2015).
1TheHarequotaisalsoknownasthe“simple”quota.2Eitheraquotas-and-remaindersapproachoradivisorsapproachcanbemodifiedfromitssimplestvariantinordertoadjustthedegreetowhichtheformularewardslargeversussmalllists.Thesimplestquota-basedformula,HQLR,isrelativelyfriendlytosmalllistsbecausethequota(retailprice)itsetstopurchaseseatsishigh.Liststhatwinenoughvotestopurchaseseatsatretailpayasteeppricefordoingso,andinturnhavetheirtalliesdiminishedrapidly,meaningthatlotsofseatstendtobeawardedbyremainders,atdiscountprices,andtoliststhatdidnotnecessarilysecureanyfullquotas.Bycontrast,thesimplestdivisorsformula,D'Hondt,isrelativelyfriendlytolargelistsbecause,inconstructingthematrixofquotientsbywhichseatswillbeawarded,iterodesthetalliesoflargelistsmoregraduallythandoalternativesequencesofdivisors(forexample,1,3,5,…).Thus,thesimplestvariantsineachfamilyofformulashaveoppositeeffects.
LegCofragmentationSincethetransferofsovereigntyfromtheUnitedKingdombacktoBeijingin1997,andtheformationofanewLegCounderHongKong'sBasicLaw,theassemblyhasgrowninsize.Still,onlyhalfofitsmembersaredirectlyelected,whereastheotherhalfarechosenby"functionalconstituencies,"acorporatistsysteminwhichkeydecision-makersarechosenbycommercial,professional,andcivicgroupswhosevotingweightdoesnotcorrespondtotheirshareofthepopulation(Pepper2000,Ip2014).ThesizesofthesecohortsareshowninTable2.
[Table2]
ThedirectlyelectedrepresentativesarechosenbyPRinfivegeographicaldistricts.Table3showsthenumberofseatsawardedineachgeographicalconstituencyintheHKSARineachelectionsince1998.
[Table3]Withineachdistrict,parties,alliances,orevenindividualpoliticianscanregistertopresentacandidatelist.Eachvotercastsaballotforamost-preferredlist.3Aftereachlist'svotesaretallied,theHQLRformulaisusedtoconvertvotestoaproportionalshareofseatswithineachdistrict.Onceeachlist'sshareofseatsisdetermined,winningcandidatesareidentifiedbytheirlistpositions.Ifalistwinsoneseatinthedistrict,onlyitstopcandidateiselected;ifitwinstwoseats,thetoptwoareelected;andsoforth.FragmentationinHongKongelectionsisdrivenbythreerelatedtrends–themultiplicationofpoliticalparties,splitswithinpartiesbywhichpartiessometimesrunmultiplelistsinthesamedistrict,andtheproliferationoflistsaffiliatedwiththemajorpoliticalcamps–pro-democraticandpro-Beijing–butunderNonpartisanlabels.ThecombinedeffectsofthesephenomenaareillustratedinFigure1,whichshowsthevoteshareforlistswithineachcampandamongnon-alignedlistsforeachelectionsincethecurrentelectoralruleshavebeeninplace.
[Figure1]Thevotesharesacrossthebroadcampsarefairlyconsistent,withthepro-democracysidewinningmajoritiesoftheoverallvote,albeitbydecliningmarginsabovethepro-Beijinggroupovertime.Thefragmentationwithincamps,however,isstriking,startingin2000amongthepro-democratsandincreasingthereafteronbothsides.Thesplinteringreflectsanincreasingfragmentationbothamongpartiesandwithinthem.Inthe2000election,forthefirsttime,theDemocraticPartyranmultiplelistsinNewTerritoriesEast(twolists)andWest(threelists)districts.By2004,theADPLjoinedtheDemocrats,splittinglistsinKowloonWest,andinthatsameelection,sixofthepro-democraticcamp's18seatswenttoNonpartisanliststhatwonasingleseateach.Bythe2012election,thepro-BeijingDABranmultiplelistsinHongKongIslandaswellasNewTerritoriesEastandWest.4
3Voterscannotindicateanypreferenceamongthecandidatesonalist;thuslistsare"closed."4TheAppendixshowsvotesharesandseatswonforeachparty,andfornon-partisanlists,foreachelectionsince1998,andprovidesfurtherinformationondatasources.
EngineeringfragmentationanddiagnosingtheeffectofHQLRTheselectionofHQLRwaspartofapackageofelectoralreformsadoptedbythegovernmentofthePeople'sRepublicofChinainthelate1990s,whensovereigntyoverHongKongwastransferred.InthelatestagesofBritishruleinHongKong,thecolonialgovernmentconductedtwoelectionsinwhichsomemembersoftheLegCoweredirectlyelected.5In1991,thoseseatswereelectedbyblockvoteintwo-memberdistricts;in1995,theywereelectedbysingle-memberdistrict(SMD)plurality.Eithermethodallowsacampthatcancommandpluralitysupporttocapturealargewinner'sbonus,andHongKong'spro-democraticforcesdominatedbothelections,winning16ofthe18directlyelectedseatsin1991and17of20in1995.TheseoutcomesalarmedtheofficialsinBeijingwhowerepreparingforthereabsorptionofHongKongandcraftingtheinstitutionsthatwoulddefinegovernanceunder"onecountry,twosystems"(Lam1995,Wong1998,Ho1999,Baum2000,Pepper2000).LauSiu-kai(1999)providesadetailedaccountofthedeliberationsofthatera.From1994to1996,LauservedasaconvenerfirstoftheElectoralAffairsStudySubgroupforHongKong,thenoftheSubgrouponElectoralMethodsfortheFirstLegislature(SEMFL),bothappointedbytheNationalPeople'sCongressinBeijing.HeacknowledgeshowpreventingthedevelopmentofeffectivelegislativepartieswasacentralpriorityforBeijing:
"TheCommunistregime…realizedfullwellthattheappearanceofpoliticalpartieswasinevitablewhenevertherewereelections,particularlypopularelections.Itneverthelessdidnotwanttoseetheriseofanti-CommunistpoliticalpartiesinHongKong.NorcouldChinatoleratethedominationofthelegislaturebyapowerfulpoliticalparty,whichthencouldusethevetopowersatthelegislature'sdisposalto'blackmail'theexecutiveortobringaboutstalematebetweentheexecutiveandlegislativebranches…IndevisingtheelectoralarrangementsforthefirstlegislatureoftheHKSAR,therefore,Chinastrovetoimpedethedevelopmentoflocalpoliticalparties,particularlythosewithpro-democraticandanti-Communistinclinations."(Lau1999:13-14).
Restrictingtheshareofdirectlyelectedrepresentativesandstackingthefunctionalconstituencieswithrepresentativesselectedindependentlyfrompartiespromotedthisagenda,butinBeijing'sestimation,sodidabandoningthemajoritarianformulasthathadbeenusedunderBritishsovereigntyforthedirectlyelectedLegCoseats:
"Inviewoftheanti-CommunistsentimentsinHongKongandtheinstinctualtendencyofamajorityofthepeopletovoteforpoliticianswhostoodfortheinterestsofthemaninthestreet,itwasunavoidablethatmorethanhalfoftheseatswouldbewonbythepro-democracyandpro-grass-rootspoliticians.Still,ifadecentminorityofdirectlyelectedpoliticianstookafriendlystancetowardChinaandamoderatepositiononsocio-economicissues,thepoliticalcloutofthemajoritycouldbebluntedtoacertainextent"(Lau1999:15).
TheBeijinggovernmentconsideredadoptingeitherlistPRorthesinglenon-transferablevote(SNTV)system.Thelatterpresentsthegreatestobstaclestopoliticalpartydevelopmentofanysystemusedtoelectnationallegislatures(Cox&Shugart1996,Cox,Rosenbluth,andThies1999,5Thecolonial-eraLegCowasanadvisorybodyandamajorityofitsmemberswereeitherselectedbyfunctionalconstituenciesorappointedbythegovernor.
Reynolds&Carey2012),butBeijingeventuallysouredonSNTVbecause,bythelate1990s,itwasusedonlyinTaiwan(Lau1999).Ultimately,theNationalPeople'sCongressoptedforlistPR,withthegoalofallowingpro-Beijingpoliticianstotransfertheirroughly40%supportintheelectorateintoacorrespondingnumberofseatsintheLegCo.Incombinationwiththefunctionalconstituencyseats,whichover-representbusinessandfinancialinterestsinclinedtoavoiddirectconfrontationwithBeijing,thesystemhasrealizeditsdesigners'goalsofpreventingthedevelopmentofapro-democracypartythatcouldcontroltheLegCoanduseitasaplatformtochallengethechiefexecutive'sdominanceinsettingpolicy(MaandChoy1999).ScholarsofHongKongelectionshavewidelynotedthattheadoptionofPRprovidedinsuranceforBeijingagainstapro-democracytsumamiintheLegCo(Fung1996,Ho1999,Baum2000,Choy2013).Theseaccountsnote,correctly,thatPRprovidesfewerincentivesfortheformationofbroadelectoralalliancesthandothemajoritarianelectoralrulesthatgovernedcontestsfortheLegCo'sdirectlyelectedseatsin1991and1995(Duverger1951;Cox1997).Nevertheless,therearetworelevantcomparisonsatworkhere.ThefirstisbetweenmajoritarianelectoralrulesandPR,andthesecondisamongPRformulas.ScholarshiponHongKongelectionshaswidelyrecognizedtheformer,emphasizingthatPRelectionshavefosteredmorepartyfragmentationthanwouldmajoritarianones(Cheng2001and2010,Cheung2005,Lee2010,Yip2014),butlessfrequentlyrecognizedtheroleplayedbythechoiceofHQLRratherthanotheravailablePRformulas.ThemostprominentexceptionsareaseriesofstudiesbyMaNgocandChoyChi-keung,bothindividuallyandincollaboration.ThesescholarsemphasizedearlyonthatBeijing'ssupportofPRelectionswasastrategicmovethatcouldfragmentthepro-democracycamp'sforcesintheLegCo(MaandChoy1999,Ma2001and2002).Theexperienceofthefirsttwoelectionsafterthetransferofsovereignty,in1998and2000,featuredrivalrieswithinparties,andthefirstinstancesofstrategiclistsplitting(Choy2002).MaandChoyprescientlyattributedthisphenomenontothedisadvantagethatlargelistsfaceunderHQLRinwinning"thelastseat"inanygivendistrict(2003a,fn.7),andforthe1998electiontheyidentifiedtwodistrictsinwhichseatdistributionsacrosspartieswouldhavedifferedhadtheD'HondtformulabeenusedratherthanHQLR(2003b).Asstrategiclist-splittinghasincreasedinHongKongandspreadfromthepro-democratictothepro-Beijingcamp,thesescholarshavechronicledthefragmentation,diagnosedHQLRasamotivatingfactor,andidentifiedthephenomenonasacontributingfactortotheLegCo'sweaknessasacounterweighttothechiefexecutive(Ma2005,2012,2014;Choy2014;seealsoChen2015).BuildingonthefoundationestablishedbyMaandChoy,theremainderofthispaperoffersanumberoffurthercontributions.IillustratethevirtualdisappearancefromHongKongelectionsofcompetitionforseatsbyfullquota.Then,usingdistrict-levelreturnsfromeveryelectionsince1998,Iproducesimulatedoutcomesshowingthattheimpetustowardfragmentationwouldnothaveapplied–indeed,itwouldhavebeenreversed–ifHongKongemployedthemorewidelyusedD'HondtdivisorPRformularatherthanHQLR.IalsoproducesimulationsthatillustratehowrecentelectoralresultswouldhavedifferedunderHQLRhadthepro-democraticcampnotpursuedlistfragmentation.Inall,theseanalysesindicatethatthecurrentrulesmakelistfragmentationaneffectivestrategyforpartyleaders,whereasotherruleswouldalterstrategies,andcouldproduceaLegCowithbroaderpartyalliances.
Distributionalconsequences:Electoralefficiency,size,andseatbonusesElectoralefficiencymeanswinningthemostseatspossible,givenone'slevelofsupportintheelectorate.Imagineasetofpoliticianswhoshareacommonpurpose–whethertoincrease(orreduce)taxrates,toincrease(orreduce)socialwelfarespending,toincrease(orrelax)environmentalregulations–andwhoexpectsomelevel,X,ofsupportforthisplatformamongvoters.Forthissetofpoliticians,maximizingelectoralefficiencymeansconvertingXintothelargestpossibleshareofseatsinthelegislature.UnderHQLRpurchasingseatswithremaindervotesisalwaysmoreefficientthanpurchasingthemwithfullquotas.Itfollowsthatanygroupofpoliticiansmaximizesitsefficiencybypurchasingasmanyseatsaspossiblebyremaindersandasfewaspossiblebyfullquota.Towinanyseatbyfullquotaistoover-pay.HongKongpoliticianshavelearnedthislessonwell.Figure2showsthepercentageofseatswonbyfullquotaamonglistswithineachcampforeachelectionsince1998.Forthefirstthreeelections,bothcampspaidfullpriceforabouthalfoftheirseats,andpurchasedtheotherhalfatreducedprices,byremainders.Theproliferationofliststhatjumpedmostdramaticallyin2008correspondedtosharpreductionsintheshareofseatsforwhicheachcamppaidfullprice.Bythe2012election,ofthe34seatscapturedbylistsfromthetwomajorcamps,onlythreewerewonbyfullquota.
[Figure2]Anotherwaytothinkaboutelectoralefficiencyisintermsofwhethertheshareofseatswonbyapartyoracampexceedsitsshareofthevote(abonus),orfallsshortofitsvoteshare(apenalty).Drawingonthedistrict-levelelectoraldatadescribedabove,Icalculatedthebonusforeveryparty(andnonpartisanlist)thatcontestedanydistrict-levelelectionsinHongKongfrom1998to2012.Figure3showsaseriesofplots,oneforeachelection,ofeachparty'soverallvoteshareagainstitsseatbonus.Thesmallestpartieswinsome,albeitmodest,votesharesandnorepresentationandso,bydefinition,sufferpenalties.Thosepenaltiesaffordforsurplusrepresentationthatisdistributedacrossthepartieswinningseats.Buthowthebonusesaredistributedillustratestherelationshipbetweenelectoralsizeandelectoralrewards.EachplotinFigure3includesthequadraticbest-fitline,illustratingtheshapeofthevote-bonusfunction.Inthefirsttwoelections,thefunctionwasconvex,whichistosaytherewerediminishingreturnstoscale.Thelargestpartiesdidnotnecessarilywinlargestseatbonuses.Bywinningseatswithfullquotas,theywereover-paying,andconvertingvotersupportintorepresentationinefficiently.Efficiencywasgreatestforpartiescapturingmoderatevoteshares,between5-15%,whichwerewinningseatsbasedonlyonremaindervotes.
[Figure3]Notealsothatthevoteshareofthelargestpartytendstodiminishovertime,from43%in1998,to29%in2000,to21%in2004,risingslightlyto23%in2008,andfallingagainto18%in2012.Thisisnoaccident;instead,itistheresultofthestrategicresponseofpoliticianstothediminishingreturnstosizeintheearlyelectionsunderHQLR.Whenbeingbigdoesnotconveyanelectoralreward,politicians–evenpotentialallies–aremotivatedtodivergeratherthantocoalesce.Asthesizeofthelargestpartiesdiminishes,therearenomorecompetitorswhowouldeverpayfullpriceforaseat.Thevote-bonusfunction,whichissensitivetothestrategicbehaviorofpartiesunderHQLR,losesitsconvexshape.Theproliferationofpartieswithineachcampand,insomecases,thelistswithineachpartyisastrategytomaximizeelectoralefficiency
–neverpayingfullpriceforaseatthatcouldbewonmorecheaply,andideallychannelingsurplusvotestootherlistsfightingformoreorlessthesamesetofpolicies.NowconsiderhowtheseincentiveswouldhavedifferedhadHongKongusedD'HondtratherthanHQLR.Figure4replicatestheplotsfromFigure3,thistimesimulatingtheoutcomesthatwouldhaveobtainedhadHongKongusedtheD'HondtformularatherthanHQLR.TheD'Hondtformularewardssize,providingeconomiesofelectoralscale,andconferringlargerbonusestolargerparties.Notethattheshapeofthevote-bonusfunctionunderD'Hondtisconsistentlyconcave,eveninthefaceofincreasingpartyandlistfragmentation.D'Hondtprovidesincreasingreturntoscale,rewardinglargerlistswithlargerseatbonusesatanyleveloflistfragmentation,thusmotivatingpoliticianstoformandsustainbroadalliances.
[Figure4]WecanalsosimulatewhatwouldhavehappenedtoHongKong'selectoralalliancesunderHQLRhadtheypursuedunificationratherthanfragmentation.By2008,forexample,fragmentationreacheditsmatureformamongthepro-democraticcamp,whichwononlyoneofitsnineteenseatsbyfullquota.Figure5showstheanalogousplotsforthe2008and2012electionsconductedunderHQLR,butthistimewithvotesforallthelistsfromthepro-democracycamppooledtogetherwithineachdistrictasifthepro-democratshadrununifiedlists.6Inbothcases,thebroadalliancewinslittleornoseatbonus,whereasmuchsmallerlists(inthesecases,pro-Beijingandnon-alignedlists)winlargerbonuses.
[Figure5]Thelessonsfromthesevariousexercisesareconsistent:ElectoralefficiencyunderHQLR'sdual-pricingsystemmeansavoidingpayingfullpriceforaseat.Ineachelectiontodate,HongKongvotershaveconfrontedanincreasinglycacophonoussetofchoiceswhentheycasttheirLegCoballots.Thisisnotbecausepoliticalleadersareinherentlyindividualisticoruncooperative.TheyaresimplyrespondingtotheincentivesgeneratedbyHQLR,wheretheoptimalstrategyisfragmentation.UnderadifferentPRformula,incentivescouldpushintheoppositedirection,encouragingbroadalliancesintheHKSARratherthanfragmentation.D'Hondtisoneoption,anditrewardssizethemost.Otheralternativesarealsoavailable(forexample,theSt.Laguedivisorsmethod),whicharesomewhatmoregeneroustosmallandmid-sizedlistswhileavoidingthedual-pricesystemofHQLR.Thekeypointisthat,underotherPRformulas,theimperativeofelectoralefficiencyistounifythelargestpossiblevotesharebehindacommonlist.DiscussionTheimplicationsofPRforthedirectlyelectedseatsintheLegCohavebeenwidelynotedbyscholars,andthepioneeringworkbyMaandChoyhasemphasizedthespecificeffectsoftheHQLRformula.Thispaperpursuesthatissue,highlightingthestrategicresponseofHongKongpoliticianstoHQLR,andhowelectoralresultswouldhavedifferedunderanalternativePRformula.6Inarecentconferencepaper,JudyChiaYinWei(2012)analyzestheeffectivenessofthelist-splittingstrategiespursuedbythemajorcamps,emphasizingtheimportanceofcoordinatingcampaigneffortstoequalizevotetalliesacrossthelistschasing"cheap"seatsbyremainders.
ItisworthnotingthattheHongKongexperienceisnotunique.Duringmostofthe20thCenturyanduntil2002,ColombiaelecteditsHouseofRepresentativesusingHQLRin33districtswithanaverageDMaround5,akintoHongKong's.LikeHongKong,Colombiaallowedpartiestorunmultiplelistsinagivendistrict–andsplittheydid.IntheBogotadistrictin2002,256separatelistsran,nonecapturedafullquota(5.6%),andall18seatswerewonbyremainders(Pahcon&Shugart2010).SplittinglistsinordertocaptureseatsbyremaindersratherthanfullquotaswassuchastaplestrategyinColombiathatitwaswidelyknownasoperacionavispas(operationwasps),toconveythatatargetwasmoreeffectivelyattackedbyaswarmofsmallpredatorsthanbyasingle,largerassailant.BecauseColombianlegislatorswereincompetitionasmuchwithotherlistsfromtheirownpartiesaswithotherparties,theylackedincentivestocultivatebroadpartyplatformsthatwouldmakethelegislatureasawholeaneffectivepolicy-makingactor.WiththegoalofstrengtheningitsCongress,Colombiaadoptedareformin2006thatmadethreeimportantchanges:switchingthePRformulafromHQLRtoD'Hondt,limitingeachpartytoonelistperdistrict,andallowingpartiestoruntheirsinglelistsundereitheranopenformat–thusaffordingvoterstheopportunitytocastpreferencevotesamongcandidates–oraclosedformat(Shugart,Moreno,andFajardo2007).Followingthereform,thenumberoflistsdropped(aforgoneconclusiongiventherequirementofonelistperparty)andintra-partycompetitionshiftedfromacrosssplitliststowithinopenlists(PachonandShugart2010).Notably,thecorrelationbetweenthevotesharesofthelargestpartiesandtheirseatbonusesgrewstronger(Shugart,Moreno,andFajardo2007,Tables7.4and7.8).ThemovetoD'Hondtrewardseconomiesofscaleandbroaderelectoralalliancesunitedunderacommonbanner.ThechoiceofPRformulaisatechnicalmatterbutitcanhaveprofoundeffectsonthebehaviorofpoliticians,thechoicesofferedtovoters,andthecompositionofthelegislativealliances.ThedecisiontoadoptHQLRforHongKong'sLegCoelectionswasmomentous,andtheeffectswereconsistentwiththegoalsattributedbyLau(1999)toBeijing'selectoralsystemdesigners,toimpedethedevelopmentofaneffectivepro-democraticblockintheLegCo.WereHongKongtouseaformulathatencouragedalliance,ratherthanfragmentation,theLegCo'spotentialtorepresentbroadinterestswithintheHongKongpolicymakingprocesscouldbesubstantiallystronger.
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TablesandFiguresfor"ElectoralFormulaandFragmentationinHongKong"Table1.IllustrationoftheDHDmethodinahypotheticaldistrict
List A B C DVotes 405 325 185 85
1stQ 405.0 325.0 185.0 85.02ndQ 202.5 162.5 92.5 42.53rdQ 135.0 108.3 61.7 28.34thQ 101.3 81.3 46.3 21.3Table2.DirectlyandindirectlyelectedmembershipintheLegCoYear
Elected TotalMembershipDirectly Indirectly
1998 20 30 502000 24 36 602004 30 30 602008 30 30 602012 35 35 70Table3.SeatspergeographicalconstituencyConstituency 1998 2000 2004 2008 2012HongKongIsland 4 5 6 6 7KowloonEast 3 4 5 4 5KowloonWest 3 4 4 5 5NewTerritoriesEast 5 5 7 7 9NewTerritoriesWest 5 6 8 8 9Total 20 24 30 30 35
Figure1.HongKongLegCoElections:PartyListVoteSharesbyCamp
Figure2.Percentageofseatsforwhichlistspaid"fullprice."
Figure3.SeatbonusesbyvoteshareinHongKongelections.
Figure4.SeatbonusesbyvoteshareinHongKongelections–D'Hondtsimulatedresults.
Figure5.Seatbonusesbyvoteshareinthe2008and2012elections–SimulationwithvotesfromallPro-Democraticlistsineachdistrictpooled.