(a) Find any pure strategy Nash equilibria of this game. (b) Find the mixed strategy Nash equilibrium of this game. (c) What happens to the column player's equilibrium mixed strategy as x increases? Explain why this happens. (d) Let x = 1. What are the rationalizable outcomes of this game? Do these offer a better prediction than the Nash equilibria?

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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5.
A game of Chicken is played by two lorry drivers who speed toward a narrow bridge. If
one driver stops to let the other pass, they waste time, whereas the one who does not
stop gets to their destination quicker. However, if both keep driving straight on then
they crash.
The game is played once, and drivers move simultaneously. Payoffs are given below
(assume 0 < x < 10):
Drive
Stop
Drive
-10,-10
-x, 8
Stop
8,-1
0,0
(a) Find any pure strategy Nash equilibria of this game.
(b) Find the mixed strategy Nash equilibrium of this game.
(c) What happens to the column player's equilibrium mixed strategy as x increases?
Explain why this happens.
(d) Let x = 1. What are the rationalizable outcomes of this game? Do these offer a
better prediction than the Nash equilibria?
Transcribed Image Text:5. A game of Chicken is played by two lorry drivers who speed toward a narrow bridge. If one driver stops to let the other pass, they waste time, whereas the one who does not stop gets to their destination quicker. However, if both keep driving straight on then they crash. The game is played once, and drivers move simultaneously. Payoffs are given below (assume 0 < x < 10): Drive Stop Drive -10,-10 -x, 8 Stop 8,-1 0,0 (a) Find any pure strategy Nash equilibria of this game. (b) Find the mixed strategy Nash equilibrium of this game. (c) What happens to the column player's equilibrium mixed strategy as x increases? Explain why this happens. (d) Let x = 1. What are the rationalizable outcomes of this game? Do these offer a better prediction than the Nash equilibria?
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