MICROECONOMICS
MICROECONOMICS
11th Edition
ISBN: 9781266686764
Author: Colander
Publisher: MCG
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Chapter 20, Problem 6QE

(a)

To determine

The dominant strategy of each firm.

(b)

To determine

Find the Nash equilibrium.

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Economics Alpha and Beta are the only firms selling gyros in the upscale town of Delphi. Each firm must decide on whether to offer a discount to students to compete for customers. If one firm offers a discount but the other does not then the firm that offers the discount will increase its profit. The figure shows the payoff matrix for this game. Alpha Offer Don't offer Alpha eams S60,000 Alpha eams $20,000 What is the Nash equilibrium in this game? Offer Bota earns $60,000 Bota earns $100.000 O A. There is no Nash equilibrium Beta Alpha earns $100.000 Alpha earms $80,000 O B. Beta offers a student discount but Alpha does not Don't OC. Both Alpha and Beta offer a student discount Beta eams $20,000 Beta earns $80,000 offer O D. Alpha offers a student discount but Beta does not
Sam and Sarah are thinking about getting married. However if either of them cheats on the other, they would get a payoff of 10, while the other person gets zero. If neither cheat, they stay with each other and get a payoff of 7 each and if both cheat, the relationship falls apart and each get a payoff of 1. What is the Nash equilibrium of this game? a. Cheat, Cheat b. Not cheat, Not cheat Sam cheats, Sarah doesn't Sarah cheats, Sam doesn't
Consider the following game in normal form.     Not cooperate Cooperate Not cooperate 20,20 50,0 Cooperate 0,50 40,40   What is Nash equilibrium? Is it efficient? Why? What needs to be complied with so that the players would like to cooperate? What happens when one of the players does not cooperate? Why? Define trigger strategy. Calculate the discount factor (δ) that would make both players decide to cooperate.
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