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Matching pennies. In this simple two-player game, the players (call them R and C) each
Chapter 7, Problem 7.13(choose chapter or problem)
Matching pennies. In this simple two-player game, the players (call them R and C) each choosean outcome, heads or tails. If both outcomes are equal, C gives a dollar to R; if the outcomes aredifferent, R gives a dollar to C.(a) Represent the payoffs by a 2 2 matrix.(b) What is the value of this game, and what are the optimal strategies for the two players?
Questions & Answers
QUESTION:
Matching pennies. In this simple two-player game, the players (call them R and C) each choosean outcome, heads or tails. If both outcomes are equal, C gives a dollar to R; if the outcomes aredifferent, R gives a dollar to C.(a) Represent the payoffs by a 2 2 matrix.(b) What is the value of this game, and what are the optimal strategies for the two players?
ANSWER:Step 1 of 2
The nash equilibrium strategy for a 2-person zero-sum game can be compared through linear programming. In this case, the payoff matrix is
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