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Epistemic Foundations of Game Theory

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  • Bonanno, Giacomo

    (University of CA, Davis)

Abstract

This is the first draft of a chapter for the forthcoming Handbook of Epistemic Logic, edited by Hans van Ditmarsch, Joe Halpern, Wiebe van der Hoek and Barteld Kooi (College Publications). Contents: 1. Introduction 2. Epistemic Models of Strategic-Form Games 3. Semantic Analysis of Common Belief of Rationality 4. Syntactic Characterization of Common Belief of Rationality 5. Common Belief versus Common Knowledge 6. Probabilistic Beliefs and von Neumann- Morgenstern Payoffs 7. Dynamic Games with Perfect Information 8. The Semantics of Belief Revision 9. Common Belief of Rationality in Perfect-Information Games 10. Literature Review.

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Bibliographic Info

Paper provided by University of California at Davis, Department of Economics in its series Working Papers with number 2012-11.

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Date of creation: May 2012
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Handle: RePEc:ecl:ucdeco:2012-11

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  1. Stalnaker, Robert, 1996. "Knowledge, Belief and Counterfactual Reasoning in Games," Economics and Philosophy, Cambridge University Press, vol. 12(02), pages 133-163, October.
  2. Bonanno, Giacomo, 1991. "The Logic of Rational Play in Games of Perfect Information," Economics and Philosophy, Cambridge University Press, vol. 7(01), pages 37-65, April.
  3. Rubinstein, Ariel, 1991. "Comments on the Interpretation of Game Theory," Econometrica, Econometric Society, vol. 59(4), pages 909-24, July.
  4. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-50, July.
  5. Bonanno, Giacomo, 2013. "A dynamic epistemic characterization of backward induction without counterfactuals," Games and Economic Behavior, Elsevier, vol. 78(C), pages 31-43.
  6. Board, Oliver, 2004. "Dynamic interactive epistemology," Games and Economic Behavior, Elsevier, vol. 49(1), pages 49-80, October.
  7. Clausing, Thorsten, 2004. "Belief Revision In Games Of Perfect Information," Economics and Philosophy, Cambridge University Press, vol. 20(01), pages 89-115, April.
  8. Tan, Tommy Chin-Chiu & da Costa Werlang, Sergio Ribeiro, 1988. "The Bayesian foundations of solution concepts of games," Journal of Economic Theory, Elsevier, vol. 45(2), pages 370-391, August.
  9. Perea, Andrés, 2006. "Epistemic Foundations for Backward Induction: An Overview," Research Memoranda 036, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
  10. Perea,Andr‚s, 2012. "Epistemic Game Theory," Cambridge Books, Cambridge University Press, number 9781107401396.
  11. Joseph Y. Halpern, 2000. "Substantive Rationality and Backward Induction," Game Theory and Information 0004008, EconWPA.
  12. Adam Brandenburger, 2007. "The power of paradox: some recent developments in interactive epistemology," International Journal of Game Theory, Springer, vol. 35(4), pages 465-492, April.
  13. Perea,Andr‚s, 2012. "Epistemic Game Theory," Cambridge Books, Cambridge University Press, number 9781107008915.
  14. Feinberg, Yossi, 2005. "Subjective reasoning--dynamic games," Games and Economic Behavior, Elsevier, vol. 52(1), pages 54-93, July.
  15. Brandenburger, Adam & Dekel, Eddie, 1987. "Rationalizability and Correlated Equilibria," Econometrica, Econometric Society, vol. 55(6), pages 1391-1402, November.
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