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Recent results on belief, knowledge and the epistemic foundations of game theory

  • Battigalli, Pierpaolo
  • Bonanno, Giacomo

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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File URL: http://www.sciencedirect.com/science/article/B6WWP-45FJXRT-K/2/2a13a9e06daa34795ffe61394a57c04d
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Article provided by Elsevier in its journal Research in Economics.

Volume (Year): 53 (1999)
Issue (Month): 2 (June)
Pages: 149-225

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Handle: RePEc:eee:reecon:v:53:y:1999:i:2:p:149-225
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622941

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  1. Battigalli, Pierpaolo & Siniscalchi, Marciano, 1999. "Interactive beliefs, epistemic independence and strong rationalizability," Research in Economics, Elsevier, vol. 53(3), pages 247-273, September.
  2. Giacomo Bonanno & Pierpaolo Battigalli, 2004. "The Logic Of Belief Persistency," Working Papers 9518, University of California, Davis, Department of Economics.
  3. Pierpaolo Battigalli & Marciano Siniscalchi, 1999. "An Epistemic Characterisation of Extensive Form Rationalisability," Working Papers 1999.25, Fondazione Eni Enrico Mattei.
  4. 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.
  5. Battigalli, P. & Bonanno, G., 1993. "Synchronic Information and Common Knowledge in Extensive Games," Papers 93-11, California Davis - Institute of Governmental Affairs.
  6. Battigalli, Pierpaolo, 1996. "Strategic Independence and Perfect Bayesian Equilibria," Journal of Economic Theory, Elsevier, vol. 70(1), pages 201-234, July.
  7. Pierpaolo Battigalli, . "Hierarchies of Conditional Beliefs and Interactive Epistemology in Dynamic Games," Working Papers 111, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  8. D. B. Bernheim, 2010. "Rationalizable Strategic Behavior," Levine's Working Paper Archive 661465000000000381, David K. Levine.
  9. 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.
  10. Battigalli, Pierpaolo, 1997. "On Rationalizability in Extensive Games," Journal of Economic Theory, Elsevier, vol. 74(1), pages 40-61, May.
  11. Aumann, Robert & Brandenburger, Adam, 1995. "Epistemic Conditions for Nash Equilibrium," Econometrica, Econometric Society, vol. 63(5), pages 1161-80, September.
  12. Ben-Porath, Elchanan, 1997. "Rationality, Nash Equilibrium and Backwards Induction in Perfect-Information Games," Review of Economic Studies, Wiley Blackwell, vol. 64(1), pages 23-46, January.
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