Strategy9Handout - Simultaneous/Sequential Mix Up We might...

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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 (2,2) C C B Mum Fink Fink Mum Fink (1,1) (3,0) (0,3) Chicken – First Mover Advantage Daisy Duke Swerve Don’t Billy-Jo Bob Swerve 1 , 1 1 , 2 Don’t 2 , 1 0, 0 Swerve D (1,1) B Swerve Don’t
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