Erkenntnis 45 (1):103 - 114 (1996)
|Abstract||In certain finite extensive games with perfect information, Cristina Bicchieri (1989) derives a logical contradiction from the assumptions that players are rational and that they have common knowledge of the theory of the game. She argues that this may account for play outside the Nash equilibrium. She also claims that no inconsistency arises if the players have the minimal beliefs necessary to perform backward induction. We here show that another contradiction can be derived even with minimal beliefs, so there is no paradox of common knowledge specifically. These inconsistencies do not make play outside Nash equilibrium plausible, but rather indicate that the epistemic specification must incorporate a system for belief revision. Whether rationality is common knowledge is not the issue.|
|Keywords||No keywords specified (fix it)|
No categories specified
(categorize this paper)
|Through your library||Configure|
Similar books and articles
Andrew M. Colman & Michael Bacharach (1997). Payoff Dominance and the Stackelberg Heuristic. Theory and Decision 43 (1):1-19.
Oliver Schulte (1996). Common Reasoning About Admissibility. Erkenntnis 45 (2/3):299 - 325.
József Sákovics (2001). Games of Incomplete Information Without Common Knowledge Priors. Theory and Decision 50 (4):347-366.
Cristina Bicchieri & Oliver Schulte (1996). Common Reasoning About Admissibility. Erkenntnis 45 (2-3):299 - 325.
Cristina Bicchieri (1993). Counterfactuals, Belief Changes, and Equilibrium Refinements. Philosophical Topics 21 (1):21-52.
Cristina Bicchieri & Gian Aldo Antonelli (1995). Game-Theoretic Axioms for Local Rationality and Bounded Knowledge. Journal of Logic, Language and Information 4 (2):145-167.
Boudewijn de Bruin (2008). Common Knowledge of Rationality in Extensive Games. Notre Dame Journal of Formal Logic 49 (3):261-280.
Philip J. Reny (1988). Common Knowledge and Games with Perfect Information. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1988:363 - 369.
Cristina Bicchieri (1988). Backward Induction Without Common Knowledge. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1988:329 - 343.
Added to index2009-01-28
Total downloads3 ( #213,130 of 722,703 )
Recent downloads (6 months)1 ( #60,247 of 722,703 )
How can I increase my downloads?