Problem Set 2.docx

Problem Set 2.docx - PROBLEM SET 2 1 From the payoff...

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P ROBLEM S ET 2 1. From the payoff bi-matrix of the Problem no. 1 from problem set 1 (Ann and Beth). Find best responses and pure Nash equilibria. 2. Consider the Problem 2 from the Problem set 1. Is there a strict dominant-strategy equilibrium? 3. Solve the following normal form game using dominance method: Player 2 L C R T 3, 2 1, 6 3, 2 Player 1 M 5, 1 4, 3 3, 2 B 2, 4 5, 4 1, 4 4. Fine the NE for the following simultaneous game Player B Lef Middle Right Top 7, 17 21, 21 14, 11 Player A Middle 10, 5 14, 4 4, 3 Bottom 4, 4 7, 3 10, 25 5. Assume Ann has four moves, A1, A2, A3, A4, and Beth has three B1, B2, and B3. The payoff bi-matrix of this non-zero-sum two-person game is B1 B2 B3 A1 1, 3 2, 2 1, 2 A2 2, 3 2, 3 2, 1 A3 1, 1 1, 2 3, 2 A4 1, 2 3, 1 2, 3 Find the Nash equilibrium by the best response method. 6. Find the Nash equilibria of the following normal form game: Player 2 Save Use Delay Save 5, 5 -2, 10 0, 0 Player 1 Use 3, 2 1, -1 0, 0 Delay 0, 0 0, 0 0, 0 7. The following table illustrates the money payoffs associated with a two-person simultaneous-

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• Winter '19
• Sudhendra
• Game Theory, Questions, Beth, 2 m, Ann, 2 L

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