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Exercise 4: Mixed-Strategy Nash Equilibria Consider the following two-player matrix games. Solve for all (degenerate and non-degenerate) mixed- strategy Nash equilibria. 1. In the first game the players' Bernoulli payoffs are shown in Table 1 below 1,2 Player 2 L R T Player 1 20, 7 5, 4 B 0, 3 10, 6 Table 1: Bernoulli payoffs for game 1 2. In the second game the players' Bernoulli payoffs are shown in Table 2 below U1, U2 Player 2 L R T Player 1 3,5 -1,-2 B 5, 4 2,4 Table 2: Bernoulli payoffs for game 2

Exercise 4: Mixed-Strategy Nash Equilibria Consider the following two-player matrix games. Solve for all (degenerate and non-degenerate) mixed- strategy Nash equilibria. 1. In the first game the players' Bernoulli payoffs are shown in Table 1 below 1,2 Player 2 L R T Player 1 20, 7 5, 4 B 0, 3 10, 6 Table 1: Bernoulli payoffs for game 1 2. In the second game the players' Bernoulli payoffs are shown in Table 2 below U1, U2 Player 2 L R T Player 1 3,5 -1,-2 B 5, 4 2,4 Table 2: Bernoulli payoffs for game 2

Microeconomic Theory
Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.2P
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Exercise 4: Mixed-Strategy Nash Equilibria Consider the following two-player matrix games. Solve for all (degenerate and non-degenerate) mixed- strategy Nash equilibria. 1. In the first game the players' Bernoulli payoffs are shown in Table 1 below 1,2 Player 2 L R T Player 1 20, 7 5, 4 B 0, 3 10, 6 Table 1: Bernoulli payoffs for game 1 2. In the second game the players' Bernoulli payoffs are shown in Table 2 below U1, U2 Player 2 L R T Player 1 3,5 -1,-2 B 5, 4 2,4 Table 2: Bernoulli payoffs for game 2
Transcribed Image Text:Exercise 4: Mixed-Strategy Nash Equilibria Consider the following two-player matrix games. Solve for all (degenerate and non-degenerate) mixed- strategy Nash equilibria. 1. In the first game the players' Bernoulli payoffs are shown in Table 1 below 1,2 Player 2 L R T Player 1 20, 7 5, 4 B 0, 3 10, 6 Table 1: Bernoulli payoffs for game 1 2. In the second game the players' Bernoulli payoffs are shown in Table 2 below U1, U2 Player 2 L R T Player 1 3,5 -1,-2 B 5, 4 2,4 Table 2: Bernoulli payoffs for game 2
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