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Refinements and Social Order Beliefs: A Unified Survey

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  • Atsushi Kajii
  • Stephen Morris

Abstract

This paper presents a simple framework that allows us to survey and relate some different strands of the game theory literature. We describe a "canonical" way of adding incomplete information to a complete information game. This framework allows us to give a simple "complete theory" interpretation (Kreps 1990) of standard normal form refinements such as perfection, and to relate refinements both to the "higher order beliefs literature" (Rubinstein 1989; Monderer and Samet 1989; Morris, Rob and Shin, 1995; Kajii and Morris 1995) and the "payoff uncertainty approach" (Fudenberg, Kreps and Levine 1988; Dekel and Fudenberg 1990).

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File URL: http://www.kellogg.northwestern.edu/research/math/papers/1197.pdf
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Bibliographic Info

Paper provided by Northwestern University, Center for Mathematical Studies in Economics and Management Science in its series Discussion Papers with number 1197.

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Date of creation: Oct 1997
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Handle: RePEc:nwu:cmsems:1197

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Web page: http://www.kellogg.northwestern.edu/research/math/
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  1. Drew Fudenberg & David M. Kreps & David K. Levine, 1986. "On the Robustness of Equilibrium Refinements," UCLA Economics Working Papers 398, UCLA Department of Economics.
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Cited by:
  1. UNO, Hiroshi, 2011. "Nested potentials and robust equilibria," CORE Discussion Papers 2011009, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Fabrizio Germano, 2003. "On Some Geometry and Equivalence Classes of Normal Form Games," Working Papers 42, Barcelona Graduate School of Economics.
  3. Tercieux, Olivier, 2006. "p-Best response set and the robustness of equilibria to incomplete information," Games and Economic Behavior, Elsevier, vol. 56(2), pages 371-384, August.
  4. Yi-Chun Chen & Alfredo Di Tillio & Eduardo Faingold & Siyang Xiong, 2009. "Uniform Topologies on Types," Cowles Foundation Discussion Papers 1734, Cowles Foundation for Research in Economics, Yale University.
  5. Morris, Stephen & Ui, Takashi, 2005. "Generalized potentials and robust sets of equilibria," Journal of Economic Theory, Elsevier, vol. 124(1), pages 45-78, September.
  6. smorris & Takashi Ui, 2004. "Generalized Potentials and Robust Sets of Equilibria," Econometric Society 2004 North American Winter Meetings 45, Econometric Society.

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