Consider the following N-player game. Each agent has a choice of strategy A or B. The state variable is x, the proportion of agents choosing strategy A. For every agent, the utility of choosing strategy A is U(A) = 10+ 2x and the utility of choosing strategy B is U(B) = 10 + 3x. What is the Nash equilibrium to this game? Explain.

Consider the following N-player game. Each agent has a choice of strategy A or B. The state variable is x, the proportion of agents choosing strategy A. For every agent, the utility of choosing strategy A is U(A) = 10+ 2x and the utility of choosing strategy B is U(B) = 10 + 3x. What is the Nash equilibrium to this game? Explain.

Exploring Economics

8th Edition

ISBN:9781544336329

Author:Robert L. Sexton

Publisher:Robert L. Sexton

Chapter15: Oligopoly And Strategic Behavior

Section: Chapter Questions

Problem 17P

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Question

1. Consider the following N-player game. Each agent has a choice of strategy A or B.
The state variable is x, the proportion of agents choosing strategy A. For every
agent, the utility of choosing strategy A is U(A) = 10 +2x and the utility of
choosing strategy B is U(B) = 10+3x. What is the Nash equilibrium to this
game? Explain.

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