Consider the following information for a simultaneous move game: If you advertise and your rival advertises, you each will earn £5 million in profits. If neither of you advertises, you will each earn £10 million in profits. However, if one of you advertises and the other does not, the firm that advertises will earn £15 million and the non-advertising firm will earn £1million. Answer the following questions: a)Please draw the payoff matrix for the game b)What is the outcome of this game? What payoff will each firm earn? c)What is the reasoning that you have followed in order to arrive at this outcome? d)Is this a Prisoner's Dilemma? Why or why not? e)Suppose that this game is played sequentially instead of simultaneously and that you decide first. Draw the game tree of this game. What is the equilibrium of this sequential game? How did you arrive to this conclusion?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter15: Imperfect Competition
Section: Chapter Questions
Problem 15.5P
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Consider the following information for a simultaneous move game: If you advertise and your rival advertises, you each will earn £5 million in profits. If neither of you advertises, you will each earn £10 million in profits. However, if one of you advertises and the other does not, the firm that advertises will earn £15 million and the non-advertising firm will earn £1million.

Answer the following questions:

a)Please draw the payoff matrix for the game

b)What is the outcome of this game? What payoff will each firm earn?

c)What is the reasoning that you have followed in order to arrive at this outcome?

d)Is this a Prisoner's Dilemma? Why or why not?

e)Suppose that this game is played sequentially instead of simultaneously and that you decide first. Draw the game tree of this game. What is the equilibrium of this sequential game? How did you arrive to this conclusion? 

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