Chapter 12--Chapter 12Chapter 12Chapter 12Chapter 12Chapter 12Chapter 12Chapter 12Chapter 12Chapter 12Chapter 12Chapter 12Chapter 12Chapter 12

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    Copyright © 2008 by the McGraw-Hill Companies, Inc. All

    McGraw-Hill"IrwinManagerial #conomics,

    Managerial Economics   ThomaMaurininth edition

    Copyright © 2008 by the McGraw-Hill Companies, Inc. AllMcGraw-Hill"IrwinManagerial #conomics,

    Managerial Economics   ThomaMaurininth edition

    Chapter 12 

    Managerial Decisions forFirms with Market Power 

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    Market Power 

    • Ability of a firm to raise price

    without losing all its sales

    • Any firm that faces downward slopingdemand has market power

    • Gives firm ability to raise price

    above average cost & earn

    economic profit (if demand & costconditions permit)

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    Monopoly 

    • Single firm

    • Produces & sells a good or service

    for which there are no goodsubstitutes

    • New firms are prevented from

    entering market because of abarrier to entry

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    Measurement of Market Power 

    • !erner inde" measures

    proportionate amount by which

    price e"ceeds marginal cost#

     P MC 

     P 

     

    ="erner inde#

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    Measurement of Market Power 

    • !erner inde"

    • $%uals !ero under perfect competition

    • ncreases as market power increases• Also e%uals –1/E , which shows that theinde# (& market power), vary inverselywith elasticity

    • The lower the elasticity of demand(absolute value), the greater the inde#& the degree of market power

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    Measurement of Market Power 

    • $f consumers view two goods as

    substitutes% crossprice elasticity

    of demand (E  XY  ) is positive

    • The higher the positive cross'priceelasticity, the greater thesubstitutability between two goods, &

    the smaller the degree of marketpower for the two firms

    ll

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    Determinants of Market Power 

    • 'ntry of new firms into a marketerodes market power of e"istingfirms by increasing the number of

    substitutes• A firm can possess a high degree of

    market power only when strongbarriers to entry  e"ist

    • onditions that make it difficult fornew firms to enter a market in whicheconomic profits are being earned

    M i l E iM i l E i

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    Common Entry Barriers

    • 'conomies of scale

    • hen long'run average cost declines overa wide range of output relative to

    demand for the product, there may notbe room for another large producer toenter market

    •arriers created by government• "icenses, e#clusive franchises

    M i l E iM i l E i

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    Common Entry Barriers

    • $nput barriers

    • ne firm controls a crucial input in theproduction process

    • rand loyalties

    • *trong customer allegiance to e#istingfirms may keep new firms from finding

    enough buyers to make entry worthwhile

    M i l E iM i l E i

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    Common Entry Barriers

    • onsumer lockin

    • +otential entrants can be deterred ifthey believe high switching costs will

    keep them from inducing many consumersto change brands

    • Network e"ternalities

    • ccur when value of a product increases

    as more consumers buy & use it• ake it difficult for new firms to enter

    markets where firms have established alarge network of buyers

    M i l E iM i l E i

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    Demand Marginal !e"enue for a

    Monopolist • *arket demand curve is the firm+s demand

    curve

    • *onopolist must lower price to sell

    additional units of output• arginal revenue is less than price for all butthe first unit sold

    • ,hen MR is positive (negative)% demand is

    elastic (inelastic)• -or linear demand% MR is also linear% has

    the same vertical intercept as demand% & istwice as steep

    M i l E iM i l E i

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    Demand Marginal !e"enue for a

    Monopolist #Figure 12$1%

    M i l E iM i l E i

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    &hort'!un Profit Ma(imi)ation for

    Monopoly • *onopolist will produce a positive

    output if some price on the demand

    curve e"ceeds average variable cost

    • Profit ma"imi.ation or loss

    minimi.ation occurs by producing

    /uantity for which MR = MC 

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    &hort'!un Profit Ma(imi)ation for

    Monopoly • $f P  > ATC % firm makes economicprofit

    • $f ATC > P > AVC % firm incurs loss% but

    continues to produce in short run

    • $f demand falls below A0 at every

    level of output% firm shuts down &

    loses only fi"ed costs

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    &hort'!un Profit Ma(imi)ation for

    Monopoly#Figure 12$*%

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    +ong'!un Profit Ma(imi)ation for

    Monopoly • *onopolist ma"imi.es profit by

    choosing to produce output where MR = LMC % as long as P ≥ LAC 

    • ,ill e"it industry if P

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    +ong'!un Profit Ma(imi)ation for

    Monopoly #Figure 12$-%

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    Profit'Ma(imi)ing .nput /sage

    • Profitma"imi.ing level of input

    usage produces e"actly that level

    of output  that ma"imi.es profit

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    Profit'Ma(imi)ing .nput /sage

    • *arginal revenue product (MRP)

    •  MRP  is the additional revenue attributable tohiring one more unit of the input

    • ,hen producing with a single variable input#

    • $mploy amount of input for which MRP = inputprice

    • -elevant range of MRP  curve is downward sloping,positive portion, for which ARP > MRP 

    TR MRP MR MP  L

    ∆ ×∆

    = =

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    Monopoly Firm0s Demand for

    +abor #Figure 12$%

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    Profit'Ma(imi)ing .nput /sage

    • -or a firm with market power%

    profitma"imi.ing conditions  MRP

    = w and MR = MC  are e/uivalent

    • hether . or " is chosen to ma#imi!eprofit, resulting levels of input usage,output, price, & profit are the same

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    Monopolistic Competition

    • !arge number of firms sell adifferentiated product

    • +roducts are close (not perfect)

    substitutes• *arket is monopolistic

    • +roduct differentiation creates a

    degree of market power• *arket is competitive

    • "arge number of firms, easy entry

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    Monopolistic Competition

    • Shortrun e/uilibrium is identical to

    monopoly

    2nrestricted entry3e"it leads tolongrun e/uilibrium

    • Attained when demand curve for each

    producer is tangent to LAC 

    • At e%uilibrium output, P = LAC  and MR = LMC 

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    &hort'!un Profit Ma(imi)ation for

    Monopolistic Competition #Figure 12$%

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    +ong'!un Profit Ma(imi)ation for

    Monopolistic Competition #Figure 12$3%

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    .mplementing the Profit'Ma(imi)ing

    4utput Pricing Decision• Step 4# 'stimate demand e/uation

    • /se statistical techni%ues fromhapter 0

    • *ubstitute forecasts of demand'shifting variables into estimateddemand e%uation to get

    Q a' bP   

     Rˆ ˆ a' a cM dP  

     

    here

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    .mplementing the Profit'Ma(imi)ing

    4utput Pricing Decision• Step 5# -ind inverse demand

    e/uation

    • *olve for P 

    a'  P Q A BQ

    b b

     

    = =

    1

     Rˆ ˆ a' a cM dP , A a' b , B

    b= = =

    1here and

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    .mplementing the Profit'Ma(imi)ing

    4utput Pricing Decision• Step 6# Solve for marginal revenue

    • hen demand is e#pressed as P = A + BQ, marginal revenue is

    a'  MR A BQ Q

    b b

     

    = =

    22

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    .mplementing the Profit'Ma(imi)ing

    4utput Pricing Decision• Step 7# 'stimate AVC  & SMC 

    • /se statistical techni%ues fromhapter 12

     SMC a bQ cQ2

    2 3 

     AVC a bQ cQ2

    =

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    • Step 8# -ind output where MR = SMC 

    • *et e%uations e%ual & solve for Q5 

    • The larger of the two solutions is the

    profit'ma#imi!ing output level• Step 9# -ind profitma"imi.ing price

    • *ubstitute Q5  into inverse demand

     P 5  = A + BQ5 

      Q5  & P 5  are only optimal if P ≥ AVC 

    .mplementing the Profit'Ma(imi)ing

    4utput Pricing Decision

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    .mplementing the Profit'Ma(imi)ing

    4utput Pricing Decision• Step :# heck shutdown rule

    • *ubstitute Q5  into estimated AVCfunction

    • f P 5  ≥

      AVC 5 , produce Q5  units ofoutput & sell each unit for P 5  

    • f P 5  

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    .mplementing the Profit'Ma(imi)ing

    4utput Pricing Decision• Step ;# ompute profit or loss

    • +rofit = TR TC 

    • f P ! AVC , firm shuts down & profitis 'T"C 

    * * 

     P Q AVC Q T"C × × 

    * ( P AVC )Q T"C   

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    Ma(imi)ing Profit at 6)tecElectronics7 6n E(ample

    • A.tec possesses market power via

    patents

    • Sells advanced wireless stereo

    headphones

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    Ma(imi)ing Profit at 6)tecElectronics7 6n E(ample

    • 'stimation of demand & marginal

    revenue

    41, 000 500 0.6 22.5= − + −  RQ P M P  

    41, 000 500 0.6(45, 000) 22.5(800)= − + − P 

    50, 000 500= −   P 

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    Ma(imi)ing Profit at 6)tecElectronics7 6n E(ample

    • Solve for inverse demand

    50, 000 500

    500 500

    Q P − −=

    − −

    50,000

    500 500

    Q P 

    −+ =

    − − 1100

    500 P Q= −

    50, 000 500Q P − = −

    100 0.002Q= −

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    a age a co o csa age a co o cs

    12-

    Ma(imi)ing Profit at 6)tecElectronics7 6n E(ample

    • etermine marginal revenue

    function

    100 0.002 P Q= −

    100 0.004 MR Q= −

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    gg

    12-

    Demand Marginal !e"enue for

     6)tec Electronics #Figure 12$8%

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    gg

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    Ma(imi)ing Profit at 6)tecElectronics7 6n E(ample

    • 'stimation of average variable cost

    and marginal cost

    • 3iven the estimated AVC  e%uation4228 0.005 0.000001 AVC Q Q= − +

    • *o,

    228 (2 0.005) (3 0.000001)SMC Q Q= − × + ×

    228 0.01 0.000003Q Q= − +

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    gg

    12-

    Ma(imi)ing Profit at 6)tecElectronics7 6n E(ample

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    Ma(imi)ing Profit at 6)tecElectronics7 6n E(ample

    • Pricing decision

    • *ubstitute Q*  into inverse demand

    $88=

    * 100 0.002(6, 000) P   = −*

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    Ma(imi)ing Profit at 6)tecElectronics7 6n E(ample

    • Shutdown decision

    • ompute AVC  at 5,222 units4

    $34=

    $88 $34 P AVC = > =6ecause , A!tec shouldproduce rather than shut down

    2* 28 0.005(6, 000) 0.000001(6, 000) AVC   = − +*

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    Ma(imi)ing Profit at 6)tecElectronics7 6n E(ample

    • omputation of total profit

    TR TVC TFC  π    = − −

    ($88 6, 000) ($34 6, 000) $270, 000= × − × −

    $528, 000 $204, 000 $270, 000= − −

    $54,000=

    ( * *) ( * *) P Q AVC Q TFC = × − × −* *   * *

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    12-

    Profit Ma(imi)ation at 6)tec

    Electronics #Figure 12$19%

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    12-

    Multiple Plants

    • $f a firm produces in 5 plants% 6 & B

    • Allocate production so MC  A = MC  B

    • ptimal total output is that for which MR = MC T 

    • -or profitma"imi.ation% allocate

    total output so that

       MR = MC T  = MC  A = MC  B

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     6 Multiplant Firm #Figure 12$11%