EBK MICROECONOMICS
EBK MICROECONOMICS
2nd Edition
ISBN: 9780134458496
Author: List
Publisher: VST
Question
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Chapter 13, Problem 7P

(a)

To determine

Pay-off matrix of a two-player rock-paper-scissors game.

(b)

To determine

Existence of equilibrium, if players use pure strategy.

(c)

To determine

Reason for use of mixed strategy in a game of rock-paper-scissors.

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Suppose that you and a friend play a matching pennies game in which each of you uncovers a penny. If both pennies show heads or both show tails, you keep both. If one shows heads and the other shows tails, your friend keeps them. Show the pay- off matrix. What, if any, is the pure-strategy Nash equilibrium to this game? Is there a mixed-strategy Nash equilibrium? If so, what is it?
Use a matrix to model a two-player game of rock-paper-scissors with payoff of 1 if you win, -1 if you lose, and 0 if you tie. In this game, how many pure-strategies Nash equilibria exist?
Use the following payoff matrix to answer the questions below. Cooperate Defect 1 Cooperate 100, 100 40, 125 Defect 125, 40 50, 50 Which player (if any) has a Dominant Strategy? [ Select ] What is the Nash Equilibrium of this game? [ Select ] Does this game satisfy the definition of a prisoner's dilemma? [ Select ]
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