(1) Write down each player's best response functions and find all the Nash equilibria. (2) For each action of each player, determine whether it is strictly, weakly, or not domi- nated by any other actions. Justify your answer. (3) Find the set of rationalizable action profiles by iteratedly eliminate strictly dominated actions. Clearly show the steps.

Microeconomic Theory
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ISBN:9781337517942
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Chapter8: Game Theory
Section: Chapter Questions
Problem 8.1P
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Consider the game in Table 1 and answer the following questions.
(1) Write down each player's best response functions and find all the Nash equilibria.
(2) For each action of each player, determine whether it is strictly, weakly, or not domi-
nated by any other actions. Justify your answer.
(3) Find the set of rationalizable action profiles by iteratedly eliminate strictly dominated
actions. Clearly show the steps.
TABLE 1. A Strategic Game
L CR
2,2
1,2 3,3
2,3
1,2 0,3
0,3
1,2 2,1 2,2
M
B
Transcribed Image Text:Consider the game in Table 1 and answer the following questions. (1) Write down each player's best response functions and find all the Nash equilibria. (2) For each action of each player, determine whether it is strictly, weakly, or not domi- nated by any other actions. Justify your answer. (3) Find the set of rationalizable action profiles by iteratedly eliminate strictly dominated actions. Clearly show the steps. TABLE 1. A Strategic Game L CR 2,2 1,2 3,3 2,3 1,2 0,3 0,3 1,2 2,1 2,2 M B
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