Game theory dynamic games of incomplete information




















General dynamic games Expected Utility Strategic-form games Extensive-form games Common knowledge Adding beliefs to knowledge Common knowledge of rationality Appendix 9.

E: Exercises [7 exercises]. S: Solutions to exercises. Weak Sequential Equilibrium Thus, simply requiring that each player have a belief and act optimally given this belief suffices to eliminate the implausible equilibrium R,R'.

Requirements 1 and 2 insist that the players have beliefs and act optimally given these beliefs, but not that these beliefs be reasonable. As a second hypothetical illustration of Requirement 3, suppose that in the game above there was a mixed strategy equilibrium in which player 1 plays L with probability q1, M with probability q2, and R with probability 1-q1-q2.

Requirements 1 through 3 capture the essence of a perfect Bayesian equilibrium. The crucial new feature of this equilibrium concept is due to Kreps and Wilson : beliefs are elevated to the level of importance of strategies in the definition of equilibrium. Formally an equilibrium no longer consists of just a strategy for each player but now also includes a belief for each player at each information set at which the player has the move.

Finally, a perfect Bayesian equilibrium consists of strategies and beliefs satisfying requirements 1 through 4. Password: Forgot password? Printer Friendly. Dynamic Games of Incomplete Information. Course over Good Luck! Incomplete and Co dominance Incomplete Dominance So far. Incomplete Records Incomplete Records For many small businesses.

Incomplete Dominance and Codominance copyright cmassengale 1 Incomplete. Incomplete Dominance Incomplete dominance results in a phenotype. Incomplete dominance Incomplete dominance Occurs when neither allele. Dynamic Games of Complete Information Extensive form games.

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