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hw410

# hw410 - 14.12 Game Theory Prof Muhamet Yildiz Fall 2010...

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14.12 Game Theory Prof. Muhamet Yildiz Fall 2010 Homework 4 Due on 11/9/2010 (in class) Youneedtoshowyourworkina l lquest ions . 1. Consider a f nitely repeated game with the following stage game (in which players decide between a soccer game or a movie):  2 1 0 0 0 0 1 2 Thegameisrepeated 2 +1 times; each player’s payo f in the repeated game is the sum of his payo f s in the stage games, and the previous plays are observable. Find and a subgame-perfect equilibrium in which in the f rst period player 1 plays and player 2 plays . 2. A union and an employer negotiate the wage . The possible dates are =0 1 2  . If they agree on at date ,thepayo f s of the union and the employer are and (1 ) , respectively, where (0 1) .Onth eda t e s =0 1 3 4  3  3 +1  the union proposes a wage, and on the dates =2 5 

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hw410 - 14.12 Game Theory Prof Muhamet Yildiz Fall 2010...

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