Recent results on belief, knowledge and the epistemic foundations of game theory
We provide a self-contained, selective overview of the literature on the role of knowledge and beliefs in game theory. We focus on recent results on the epistemic foundations of solution concepts, including correlated equilibrium, rationalizability in dynamic games, forward and backward induction.
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- Battigalli, Pierpaolo & Siniscalchi, Marciano, 1997.
"An Epistemic Characterization of Extensive Form Rationalizability,"
1009, California Institute of Technology, Division of the Humanities and Social Sciences.
- Pierpaolo Battigalli & Marciano Siniscalchi, 1999. "An Epistemic Characterisation of Extensive Form Rationalisability," Working Papers 1999.25, Fondazione Eni Enrico Mattei.
- Elchanan Ben-Porath, 1997. "Rationality, Nash Equilibrium and Backwards Induction in Perfect-Information Games," Review of Economic Studies, Oxford University Press, vol. 64(1), pages 23-46.
- Aumann, Robert & Brandenburger, Adam, 1995.
"Epistemic Conditions for Nash Equilibrium,"
Econometric Society, vol. 63(5), pages 1161-1180, September.
- Battigalli, Pierpaolo, 1997. "On Rationalizability in Extensive Games," Journal of Economic Theory, Elsevier, vol. 74(1), pages 40-61, May.
- Lismont L. & Mongin, P., 1996.
"Belief closure: A semantics of common knowledge for modal propositional logic,"
Mathematical Social Sciences,
Elsevier, vol. 31(1), pages 60-60, February.
- Lismont, Luc & Mongin, Philippe, 1995. "Belief closure: A semantics of common knowledge for modal propositional logic," Mathematical Social Sciences, Elsevier, vol. 30(2), pages 127-153, October.
- LISMONT, Luc & MONGIN, Philippe, 1993. "Belief Closure : A Semantics of Common Knowledge for Modal Propositional Logic," CORE Discussion Papers 1993039, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- D. B. Bernheim, 2010.
"Rationalizable Strategic Behavior,"
Levine's Working Paper Archive
661465000000000381, David K. Levine.
- Battigalli, Pierpaolo, 1996. "Strategic Independence and Perfect Bayesian Equilibria," Journal of Economic Theory, Elsevier, vol. 70(1), pages 201-234, July.
- Pierpaolo Battigalli, "undated".
"Hierarchies of Conditional Beliefs and Interactive Epistemology in Dynamic Games,"
111, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
- Battigalli, Pierpaolo & Siniscalchi, Marciano, 1999. "Hierarchies of Conditional Beliefs and Interactive Epistemology in Dynamic Games," Journal of Economic Theory, Elsevier, vol. 88(1), pages 188-230, September.
- Giacomo Bonanno & Pierpaolo Battigalli, 2004.
"The Logic Of Belief Persistency,"
9518, University of California, Davis, Department of Economics.
- Battigalli, P. & Bonanno, G., 1993. "Synchronic Information and Common Knowledge in Extensive Games," Papers 93-11, California Davis - Institute of Governmental Affairs.
- Balkenborg, Dieter & Winter, Eyal, 1997.
"A necessary and sufficient epistemic condition for playing backward induction,"
Journal of Mathematical Economics,
Elsevier, vol. 27(3), pages 325-345, April.
- Balkenborg, Dieter & Eyal Winter, 1995. "A Necessary and Sufficient Epistemic Condition for Playing Backward Induction," Discussion Paper Serie B 331, University of Bonn, Germany.
- Battigalli, Pierpaolo & Siniscalchi, Marciano, 1999. "Interactive beliefs, epistemic independence and strong rationalizability," Research in Economics, Elsevier, vol. 53(3), pages 247-273, September.
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