Strategy9Handout - 10/1/2008 Simultaneous/Sequential Mix Up...

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10/1/2008 1 Simultaneous/Sequential Mix Up ± We might wish to model situations involving both sequential and simultaneous moves ± We can combine the concepts of Nash Equilibrium with Rollback to analyze such games ± Consider a somewhat complex relationship between a wife and husband… Wife and Husband Husband Cooperate Argue Wife Cooperate 3 , 3 * , 4 Argue 4 , * * , * Wife 5 1 divorce suffer Second Stage Second Stage Second Stage Husband 5 suffer divorce 1 Husband Forgive Affair Wife Forgive 4 , 4 1 , 5 Affair 5 , 1 2 , 2 Simultaneous to Sequential ± Sometimes it is advantageous to turn a simultaneous move game into a sequential move game…by moving first ± But in Prisoner’s Dilemma, it doesn’t change the outcome ± Sometimes, it gives you an advantage to move first Prisoner’s Dilemma Clyde Barrow Mum Fink Bonnie Parker Mum 2 , 2 0 , 3 Fink 3 , 0 1, 1 Mum C (2,2) C B Mum Fink Fink Mum Fink (1,1) (3,0) (0,3) Chicken – First Mover Advantage Daisy Duke Swerve Don’t
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Strategy9Handout - 10/1/2008 Simultaneous/Sequential Mix Up...

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