For problem 1 and 2, consider the following game : C D A (0,5) (5,-5) B (3, 1) (1, 0) 1. Show that the game above doesn't have a pure Nash equilibrium. 2. Show that the game above has a unique mixed Nash equilibrium, and describe the playing strategy.

For problem 1 and 2, consider the following game : C D A (0,5) (5,-5) B (3, 1) (1, 0) 1. Show that the game above doesn't have a pure Nash equilibrium. 2. Show that the game above has a unique mixed Nash equilibrium, and describe the playing strategy.

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter8: Game Theory

Section: Chapter Questions

Problem 8.1P

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Question

For problem 1 and 2, consider the following game :
с
D
A
(0,5)
(5,-5)
B (3, 1) (1, 0)
1. Show that the game above doesn't have a pure Nash equilibrium.
2. Show that the game above has a unique mixed Nash equilibrium, and describe the playing strategy.

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Step 1: Describe the game

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Step 2: Explain the pure Nash equilibrium for game

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Step 3: Find Mixed Nash equilibrium

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