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Epistemically stable strategy sets

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  • Geir B. Asheim

    (Department of Economics, University of Oslo - University of Oslo)

  • Mark Voorneveld

    (SSE - Department of Economics - Stockholm School of Economics)

  • Jörgen Weibull

    (SSE - Department of Economics - Stockholm School of Economics, Department of Economics, Ecole Polytechnique - CNRS : UMR7176 - Polytechnique - X)

Abstract

This paper provides a definition of epistemic stability of sets of strategy profiles, and uses it to characterize variants of curb sets in finite games, including the set of rationalizable strategies and minimal curb sets.

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Bibliographic Info

Paper provided by HAL in its series Working Papers with number hal-00440098.

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Date of creation: 09 Dec 2009
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Handle: RePEc:hal:wpaper:hal-00440098

Note: View the original document on HAL open archive server: http://hal.archives-ouvertes.fr/hal-00440098/en/
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Related research

Keywords: Epistemic game theory; epistemic stability; rationalizability; closedness under rational behavior; mutual p-belief.;

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  1. K. Ritzberger & J. Weibull, 2010. "Evolutionary Selection in Normal-Form Games," Levine's Working Paper Archive 452, David K. Levine.
  2. repec:fth:coluec:9596-22 is not listed on IDEAS
  3. C. Sanchirico, 2010. "A Probabilistic Model of Learning in Games," Levine's Working Paper Archive 484, David K. Levine.
  4. Basu, K. & Weibull, J., 1990. "Strategy Subsets Closed Under Rational Behavior," Papers 62, Princeton, Woodrow Wilson School - Discussion Paper.
  5. E. Kohlberg & J.-F. Mertens, 1998. "On the Strategic Stability of Equilibria," Levine's Working Paper Archive 445, David K. Levine.
  6. Hurkens Sjaak, 1995. "Learning by Forgetful Players," Games and Economic Behavior, Elsevier, vol. 11(2), pages 304-329, November.
  7. Galeotti, Andrea & Goyal, Sanjeev & Kamphorst, Jurjen, 2006. "Network formation with heterogeneous players," Games and Economic Behavior, Elsevier, vol. 54(2), pages 353-372, February.
  8. Hurkens, S., 1993. "Multi-Sided Pre-Play Communication By Burning Money," Papers 9319, Tilburg - Center for Economic Research.
  9. Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May.
  10. Andreas Blume, 1996. "Communication, Risk and Efficiency in Games," Game Theory and Information 9604001, EconWPA.
  11. Aumann, Robert & Brandenburger, Adam, 1995. "Epistemic Conditions for Nash Equilibrium," Econometrica, Econometric Society, vol. 63(5), pages 1161-80, September.
  12. Tercieux, Olivier, 2006. "p-Best response set," Journal of Economic Theory, Elsevier, vol. 131(1), pages 45-70, November.
  13. Zambrano, Eduardo, 2008. "Epistemic conditions for rationalizability," Games and Economic Behavior, Elsevier, vol. 63(1), pages 395-405, May.
  14. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-28, July.
  15. Brandenburger Adam & Dekel Eddie, 1993. "Hierarchies of Beliefs and Common Knowledge," Journal of Economic Theory, Elsevier, vol. 59(1), pages 189-198, February.
  16. Ehud Kalai & Dov Samet, 1982. "Persistent Equilibria in Strategic Games," Discussion Papers 515, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  17. DEMICHELIS, Stefano & RITZBERGER, Klaus, 2000. "From evolutionary to strategic stability," CORE Discussion Papers 2000059, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  18. Pearce, David G, 1984. "Rationalizable Strategic Behavior and the Problem of Perfection," Econometrica, Econometric Society, vol. 52(4), pages 1029-50, July.
  19. Monderer, Dov & Samet, Dov, 1989. "Approximating common knowledge with common beliefs," Games and Economic Behavior, Elsevier, vol. 1(2), pages 170-190, June.
  20. Hu, Tai-Wei, 2007. "On p-rationalizability and approximate common certainty of rationality," Journal of Economic Theory, Elsevier, vol. 136(1), pages 379-391, September.
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