b. You and your friend are gambling and each of you have two balls: yellow and blue. If the colour of the ball picked by you is the same as your friend's, you win. If the colour of the balls draw from you and your friend are different, your friend wins. Winning with a yellow ball earns a payoff of $100, while winning with a blue ball earns a payoff of $80. i. What is(are) the Nash equilibrium (equilibria), if any, under pure strategies in the above simultaneous game? i. What is the Nash equilibrium under mixed strategy? iii. What is the expected payoff for you and your friend under the mixed strategy in (ii.)?

Microeconomics: Principles & Policy
14th Edition
ISBN:9781337794992
Author:William J. Baumol, Alan S. Blinder, John L. Solow
Publisher:William J. Baumol, Alan S. Blinder, John L. Solow
Chapter13: Between Competition And Monopoly
Section: Chapter Questions
Problem 10DQ
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Question
10
You and your friend are gambling and each of you have two balls: yellow and
blue. If the colour of the ball picked by you is the same as your friend's, you
b.
win.
If the colour of the balls draw from you and your friend are different, your friend
wins. Winning with a yellow ball earns a payoff of $100, while winning with a
blue ball earns a payoff of $80.
i.
What is(are) the Nash equilibrium (equilibria), if any, under pure strategies
in the above simultaneous game?
ii.
What is the Nash equilibrium under mixed strategy?
iii.
What is the expected payoff for you and your friend under the mixed
strategy in (ii.)?
Transcribed Image Text:You and your friend are gambling and each of you have two balls: yellow and blue. If the colour of the ball picked by you is the same as your friend's, you b. win. If the colour of the balls draw from you and your friend are different, your friend wins. Winning with a yellow ball earns a payoff of $100, while winning with a blue ball earns a payoff of $80. i. What is(are) the Nash equilibrium (equilibria), if any, under pure strategies in the above simultaneous game? ii. What is the Nash equilibrium under mixed strategy? iii. What is the expected payoff for you and your friend under the mixed strategy in (ii.)?
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