Ch 11 Presentation International Mgmt

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    Strategic Behavior 

    • Decisions that take into account the

    predicted reactions of rival firms

     –Interdependence of outcomes

    • Game Theory

     – Players

     – Strategies – Payoff matrix

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    Strategic Behavior 

    • Types of Games

     – ero!sum games

     – "on#ero!sum games• "ash $%uili&rium

     – $ach player chooses a strategy that is

    optimal given the strategy of the other

    player 

     – ' strategy is dominant if it is optimal

    regardless of (hat the other player does

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     'dvertising $xample )

     'dvertise Don*t 'dvertise

     'dvertise +,- ./ +0- )/Don*t 'dvertise +1- 0/ +.- 1/

    2irm B

    2irm '

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     'dvertising $xample )

     'dvertise Don*t 'dvertise

     'dvertise +,- ./ +0- )/Don*t 'dvertise +1- 0/ +.- 1/

    2irm B

    2irm '

    3hat is the optimal strategy for 2irm ' if 2irm B chooses to

    advertise4

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     'dvertising $xample )

     'dvertise Don*t 'dvertise

     'dvertise +,- ./ +0- )/Don*t 'dvertise +1- 0/ +.- 1/

    2irm B

    2irm '

    3hat is the optimal strategy for 2irm ' if 2irm B chooses to

    advertise4

    If 2irm ' chooses to advertise- the payoff is ,5 6ther(ise-

    the payoff is 15 The optimal strategy is to advertise5

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     'dvertising $xample )

     'dvertise Don*t 'dvertise

     'dvertise +,- ./ +0- )/Don*t 'dvertise +1- 0/ +.- 1/

    2irm B

    2irm '

    3hat is the optimal strategy for 2irm ' if 2irm B chooses

    not to advertise4

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     'dvertising $xample )

     'dvertise Don*t 'dvertise

     'dvertise +,- ./ +0- )/Don*t 'dvertise +1- 0/ +.- 1/

    2irm B

    2irm '

    3hat is the optimal strategy for 2irm ' if 2irm B chooses

    not to advertise4

    If 2irm ' chooses to advertise- the payoff is 05 6ther(ise-

    the payoff is .5 'gain- the optimal strategy is to advertise5

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     'dvertising $xample )

     'dvertise Don*t 'dvertise

     'dvertise +,- ./ +0- )/Don*t 'dvertise +1- 0/ +.- 1/

    2irm B

    2irm '

    7egardless of (hat 2irm B decides to do- the optimal

    strategy for 2irm ' is to advertise5 The dominant strategy

    for 2irm ' is to advertise5

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     'dvertising $xample )

     'dvertise Don*t 'dvertise

     'dvertise +,- ./ +0- )/Don*t 'dvertise +1- 0/ +.- 1/

    2irm B

    2irm '

    3hat is the optimal strategy for 2irm B if 2irm ' chooses to

    advertise4

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     'dvertising $xample )

     'dvertise Don*t 'dvertise

     'dvertise +,- ./ +0- )/Don*t 'dvertise +1- 0/ +.- 1/

    2irm B

    2irm '

    3hat is the optimal strategy for 2irm B if 2irm ' chooses to

    advertise4

    If 2irm B chooses to advertise- the payoff is .5 6ther(ise-

    the payoff is )5 The optimal strategy is to advertise5

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     'dvertising $xample )

     'dvertise Don*t 'dvertise

     'dvertise +,- ./ +0- )/Don*t 'dvertise +1- 0/ +.- 1/

    2irm B

    2irm '

    3hat is the optimal strategy for 2irm B if 2irm ' chooses

    not to advertise4

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     'dvertising $xample )

     'dvertise Don*t 'dvertise

     'dvertise +,- ./ +0- )/Don*t 'dvertise +1- 0/ +.- 1/

    2irm B

    2irm '

    3hat is the optimal strategy for 2irm B if 2irm ' chooses

    not to advertise4

    If 2irm B chooses to advertise- the payoff is 05 6ther(ise-

    the payoff is 15 'gain- the optimal strategy is to advertise5

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     'dvertising $xample )

     'dvertise Don*t 'dvertise

     'dvertise +,- ./ +0- )/Don*t 'dvertise +1- 0/ +.- 1/

    2irm B

    2irm '

    7egardless of (hat 2irm ' decides to do- the optimal

    strategy for 2irm B is to advertise5 The dominant strategy

    for 2irm B is to advertise5

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     'dvertising $xample )

     'dvertise Don*t 'dvertise

     'dvertise +,- ./ +0- )/Don*t 'dvertise +1- 0/ +.- 1/

    2irm B

    2irm '

    The dominant strategy for 2irm ' is to advertise and the

    dominant strategy for 2irm B is to advertise5 The "ash

    e%uili&rium is for &oth firms to advertise5

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     'dvertise Don*t 'dvertise

     'dvertise +,- ./ +0- )/Don*t 'dvertise +1- 0/ +8- 1/

    2irm B

    2irm '

     'dvertising $xample 1

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     'dvertising $xample 1

    3hat is the optimal strategy for 2irm ' if 2irm B chooses to

    advertise4

     'dvertise Don*t 'dvertise

     'dvertise +,- ./ +0- )/Don*t 'dvertise +1- 0/ +8- 1/

    2irm B

    2irm '

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     'dvertising $xample 1

    3hat is the optimal strategy for 2irm ' if 2irm B chooses to

    advertise4

    If 2irm ' chooses to advertise- the payoff is ,5 6ther(ise-

    the payoff is 15 The optimal strategy is to advertise5

     'dvertise Don*t 'dvertise

     'dvertise +,- ./ +0- )/Don*t 'dvertise +1- 0/ +8- 1/

    2irm B

    2irm '

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     'dvertising $xample 1

    3hat is the optimal strategy for 2irm ' if 2irm B chooses

    not to advertise4

     'dvertise Don*t 'dvertise

     'dvertise +,- ./ +0- )/Don*t 'dvertise +1- 0/ +8- 1/

    2irm B

    2irm '

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     'dvertising $xample 1

    3hat is the optimal strategy for 2irm ' if 2irm B chooses

    not to advertise4

    If 2irm ' chooses to advertise- the payoff is 05 6ther(ise-

    the payoff is 85 In this case- the optimal strategy is not toadvertise5

     'dvertise Don*t 'dvertise

     'dvertise +,- ./ +0- )/Don*t 'dvertise +1- 0/ +8- 1/

    2irm B

    2irm '

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     'dvertise Don*t 'dvertise

     'dvertise +,- ./ +0- )/Don*t 'dvertise +1- 0/ +8- 1/

    2irm B

    2irm '

     'dvertising $xample 1

    The optimal strategy for 2irm ' depends on (hich strategy

    is chosen &y 2irms B5 2irm ' does not have a dominant

    strategy5

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     'dvertising $xample 1

    3hat is the optimal strategy for 2irm B if 2irm ' chooses to

    advertise4

     'dvertise Don*t 'dvertise

     'dvertise +,- ./ +0- )/Don*t 'dvertise +1- 0/ +8- 1/

    2irm B

    2irm '

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     'dvertising $xample 1

    3hat is the optimal strategy for 2irm B if 2irm ' chooses to

    advertise4

    If 2irm B chooses to advertise- the payoff is .5 6ther(ise-

    the payoff is )5 The optimal strategy is to advertise5

     'dvertise Don*t 'dvertise

     'dvertise +,- ./ +0- )/Don*t 'dvertise +1- 0/ +8- 1/

    2irm B

    2irm '

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     'dvertising $xample 1

    3hat is the optimal strategy for 2irm B if 2irm ' chooses

    not to advertise4

     'dvertise Don*t 'dvertise

     'dvertise +,- ./ +0- )/Don*t 'dvertise +1- 0/ +8- 1/

    2irm B

    2irm '

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     'dvertising $xample 1

    3hat is the optimal strategy for 2irm B if 2irm ' chooses

    not to advertise4

    If 2irm B chooses to advertise- the payoff is 05 6ther(ise-

    the payoff is 15 'gain- the optimal strategy is to advertise5

     'dvertise Don*t 'dvertise

     'dvertise +,- ./ +0- )/Don*t 'dvertise +1- 0/ +8- 1/

    2irm B

    2irm '

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     'dvertising $xample 1

    7egardless of (hat 2irm ' decides to do- the optimal

    strategy for 2irm B is to advertise5 The dominant strategy

    for 2irm B is to advertise5

     'dvertise Don*t 'dvertise

     'dvertise +,- ./ +0- )/Don*t 'dvertise +1- 0/ +8- 1/

    2irm B

    2irm '

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     'dvertising $xample 1

     'dvertise Don*t 'dvertise

     'dvertise +,- ./ +0- )/Don*t 'dvertise +1- 0/ +.- 1/

    2irm B

    2irm '

    The dominant strategy for 2irm B is to advertise5 If 2irm B

    chooses to advertise- then the optimal strategy for 2irm '

    is to advertise5 The "ash e%uili&rium is for &oth firms to

    advertise5

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    Prisoners9 Dilemma

    T(o suspects are arrested for armed ro&&ery5 They are

    immediately separated5 If convicted- they (ill get a term

    of ): years in prison5 ;o(ever- the evidence is not

    sufficient to convict them of more than the crime ofpossessing stolen goods- (hich carries a sentence of

    only ) year5

    The suspects are told the follo(ing< If you confess and

    your accomplice does not- you (ill go free5 If you do notconfess and your accomplice does- you (ill get ):

    years in prison5 If you &oth confess- you (ill &oth get 0

    years in prison5

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    Prisoners9 Dilemma

    =onfess Don*t =onfess

    =onfess +0- 0/ +:- ):/Don*t =onfess +):- :/ +)- )/

    Individual B

    Individual '

    Payoff >atrix +negative values/

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    Prisoners9 Dilemma

    =onfess Don*t =onfess

    =onfess +0- 0/ +:- ):/Don*t =onfess +):- :/ +)- )/

    Individual B

    Individual '

    Dominant Strategy

    Both Individuals =onfess

    +"ash $%uili&rium/

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    ?o( Price ;igh Price

    ?o( Price +1- 1/ +0- )/;igh Price +)- 0/ +.- ./

    2irm B

    2irm '

    Prisoners9 Dilemma

     'pplication< Price =ompetition

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    ?o( Price ;igh Price

    ?o( Price +1- 1/ +0- )/;igh Price +)- 0/ +.- ./

    2irm B

    2irm '

    Prisoners9 Dilemma

     'pplication< Price =ompetition

    Dominant Strategy< ?o( Price

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     'dvertise Don*t 'dvertise

     'dvertise +1- 1/ +0- )/Don*t 'dvertise +)- 0/ +.- ./

    2irm B

    2irm '

    Prisoners9 Dilemma

     'pplication< "onprice =ompetition

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    Prisoners9 Dilemma

     'pplication< "onprice =ompetition

    Dominant Strategy< 'dvertise

     'dvertise Don*t 'dvertise

     'dvertise +1- 1/ +0- )/Don*t 'dvertise +)- 0/ +.- ./

    2irm B

    2irm '

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    =heat Don*t =heat

    =heat +1- 1/ +0- )/Don*t =heat +)- 0/ +.- ./

    2irm B

    2irm '

    Prisoners9 Dilemma

     'pplication< =artel =heating

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    =heat Don*t =heat

    =heat +1- 1/ +0- )/Don*t =heat +)- 0/ +.- ./

    2irm B

    2irm '

    Prisoners9 Dilemma

     'pplication< =artel =heating

    Dominant Strategy< =heat

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    $xtensions of Game Theory

    • 7epeated Games

     – >any consecutive moves and

    countermoves &y each player • Tit!for!Tat Strategy

     – Do to your opponent (hat your

    opponent has @ust done to you

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    $xtensions of Game Theory

    • Tit!for!Tat Strategy

     – Sta&le set of players

     – Small num&er of players

     – $asy detection of cheating

     – Sta&le demand and cost conditions

     – Game repeated a large anduncertain num&er of times

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    $xtensions of Game Theory

    • Threat Strategies

     – =redi&ility

     – 7eputation

     – =ommitment

     – $xample< $ntry deterrence

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    $ntry Deterrence

    $nter Do "ot $nter  

    ?o( Price +,- !1/ +8- :/;igh Price +A- 1/ +):- :/

    2irm B

    2irm '

    $nter Do "ot $nter  

    ?o( Price +,- !1/ +8- :/

    ;igh Price +.- 1/ +- :/

    2irm B

    2irm '

    =redi&le $ntry Deterrence

    "o =redi&le $ntry Deterrence

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    $ntry Deterrence

    $nter Do "ot $nter  

    ?o( Price +,- !1/ +8- :/;igh Price +A- 1/ +):- :/

    2irm B

    2irm '

    $nter Do "ot $nter  

    ?o( Price +,- !1/ +8- :/

    ;igh Price +.- 1/ +- :/

    2irm B

    2irm '

    =redi&le $ntry Deterrence

    "o =redi&le $ntry Deterrence

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    International =ompetition

    Produce Don*t Product

    Produce +!):- !):/ +)::- :/Don*t Produce +:- )::/ +:- :/

     'ir&us

    Boeing

    Boeing Cersus 'ir&us Industrie

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    Se%uential Games

    • Se%uence of moves &y rivals

    • Payoffs depend on entire se%uence

    • Decision trees

     – Decision nodes

     – Branches +alternatives/

    • Solution &y reverse induction

     – 2rom final decision to first decision

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    ;igh!Price- ?o(!Price

    Strategy Game

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    ;igh!Price- ?o(!Price

    Strategy Game

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    ;igh!Price- ?o(!Price

    Strategy Game

    Solution<

    Both firms

    choose lo(

    price5

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     'ir&us and Boeing

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     'ir&us and Boeing

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     'ir&us and Boeing

    Solution< 'ir&us &uilds

     '.: and

    Boeing &uildsSonic =ruiser5

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