sample-ex2 - S'07 Prof. Stahl 354K - GAME THEORY Exam 2 *...

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S'07 Prof. Stahl 354K - GAME THEORY Exam 2 *** (5%) Do NOT put your name on any answer pages. Put your 4-digit ID number ONLY at the top of every answer page. Start your answer for each question on a new page. 1. (20%) Definitions: (a) Give a precise definition of a weakly dominated strategy. (b) Give a precise definition of a mixed-strategy Nash equilibrium. 2. (20%) Find all the Nash equilibria (NE) of the following normal-form game. L M R __. A | 6, 5 | 12,15 | 3, 0 | B | 8, 2 | 8, 6 | 12,10 | C | 5,11 | 6, 3 | 6, 8 | D | 9, 5 | 2,11 | 0, 7 | 3. (20%) Consider the following game tree: (a) What is 2.2 in this game tree? (b) State the set of complete strategies for each player. (c) Does this game entail signaling? Explain. 4. (15%) Consider the following game tree: Fill in the normal form payoffs below. Lx Ly Rx Ry T 7, 1 6, 8 B 6, 3 5, 4 N 1.1 2.1 2.2 + -- T B L R U U
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sample-ex2 - S'07 Prof. Stahl 354K - GAME THEORY Exam 2 *...

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