Consider the two-player strategic form game represented in the following payoff table: N

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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2.
Consider the two-player strategic form game represented in the following payoff table:
t
1 m
b
7,2
1,2
3,7
2
M
2,4
3,4
1,6
R
1,3
7,1
4,2
Player 1 chooses between rows, S₁ = {t, m, b), and receives the first listed payoff in
each cell. Player 2 chooses between columns, S₂ = {L, M, R), and receives the
second listed payoff in each cell.
a. Does either player have a strictly dominant strategy? Explain.
b. Explaining your steps carefully, identify the set of rationalizable strategies in
this game.
c. Making sure to explain your solution method, solve for all pure strategy Nash
equilibria in this game.
Transcribed Image Text:2. Consider the two-player strategic form game represented in the following payoff table: t 1 m b 7,2 1,2 3,7 2 M 2,4 3,4 1,6 R 1,3 7,1 4,2 Player 1 chooses between rows, S₁ = {t, m, b), and receives the first listed payoff in each cell. Player 2 chooses between columns, S₂ = {L, M, R), and receives the second listed payoff in each cell. a. Does either player have a strictly dominant strategy? Explain. b. Explaining your steps carefully, identify the set of rationalizable strategies in this game. c. Making sure to explain your solution method, solve for all pure strategy Nash equilibria in this game.
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