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Unformatted text preview: 14.12 Game Theory Muhamet Yildiz Fall 2005 Homework 2 Due on 10/7/2005 (The homeworks are accepted until 10/12, but you need to turn in your homework on due date if you want to get your graded homework back on time.) 1. Find all the Nash equilibria of the following game. L M R A 0,1 0,0 10,0 B 2,1 1,2 0,1 C 1,2 2,1 0,1 2. Use backwards induction to compute a Nash equilibrium of the following game. 1 a b d c 2 3 L R a 1 a 2 a 3 1 C D 1 1 1 2 x y z 2 m n 3 f g h 5 1 6 1 1 1 1 5 3 3 3 1 2 2 2 3 2 1 2 1 3 1 a b d c 2 3 L R a 1 a 2 a 3 1 C D 1 1 1 2 x y z 2 m n 3 f g h 5 1 6 1 1 1 1 5 3 3 3 1 2 2 2 3 2 1 2 1 1 a b d c 2 3 L R a 1 a 2 a 3 1 C D 1 1 1 2 x y z 2 m n 3 f g h 5 1 6 1 1 1 1 5 3 3 3 1 2 2 2 3 2 1 2 1 3 3. Use backwards induction to f nd a Nash equilibrium for the following game, which is a simpli f ed version of a game called Weakest Link. There are 4 riskneutral contestants, 1,2, 3, and 4, with "values" v 1 , ..., v 4 where v 1 > v 2 > v 3 > v 4 > . The game has 3 rounds. At each round, an outside party adds the value of each "surviving" contestantrounds....
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This note was uploaded on 11/28/2011 for the course ECONOMICS 114.126 taught by Professor Muhammadyildiz during the Spring '05 term at University of Massachusetts Boston.
 Spring '05
 MuhammadYildiz
 Game Theory

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