EXERCISE 443.1 (Delayed modified grim trigger strategies)) Choose a positive in- teger k and consider the strategy that chooses D in the first k periods of the game, regardless of the history, and then follows the modified grim trigger strategy, start- ing in state C. Find the range of values for the discount factor for which the strategy pair in which each player uses this strategy is a subgame perfect equilibrium.

Microeconomic Theory
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Author:NICHOLSON
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Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.3P
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? EXERCISE 443.1 (Delayed modified grim trigger strategies) Choose a positive in-
teger k and consider the strategy that chooses D in the first k periods of the game,
regardless of the history, and then follows the modified grim trigger strategy, start-
ing in state C. Find the range of values for the discount factor for which the strategy
pair in which each player uses this strategy is a subgame perfect equilibrium.
C.D
(D
C,D
D
D
C,D
D
Transcribed Image Text:? EXERCISE 443.1 (Delayed modified grim trigger strategies) Choose a positive in- teger k and consider the strategy that chooses D in the first k periods of the game, regardless of the history, and then follows the modified grim trigger strategy, start- ing in state C. Find the range of values for the discount factor for which the strategy pair in which each player uses this strategy is a subgame perfect equilibrium. C.D (D C,D D D C,D D
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