GT_HW2 - equilibria(c(10 points Illustrate graphically 2(60...

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EF4484 Economic Strategy and Game Theory Semester A, 2008 Homework #2 Due: 9:15AM, Wednesday 10-8-08 1. Consider the following payoff matrix for a modified version of Battle of the Sexes. Woman Fights Ballet Man Fights 2, 0 0, 3 Ballet 0, 2 1, 1 (a) (10 points) Comparing the above pattern of payoffs with that of the standard Battle of the Sexes game, provide an interpretation for the modified pattern represented above. (b) (20 points) Find both players' (pure and/or mixed strategy) Nash equilibrium (or
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Unformatted text preview: equilibria). (c ) (10 points) Illustrate graphically. 2. (60 points) In the following game, compute the pure and mixed strategy Nash equilibria and examine how they depend on whether x is positive or negative, and, if x is positive, whether x is greater than 1 or less than 1. P l a y e r 2 L M R U x , x x , 0 x , 0 Player 1 C 0, x 2, 0 0, 2 D 0, x 0, 2 2, 0...
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