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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).

Suggested Citation

  • Atsushi Kajii & Stephen Morris, 1997. "Refinements and Social Order Beliefs: A Unified Survey," Discussion Papers 1197, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  • Handle: RePEc:nwu:cmsems:1197
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    File URL: http://www.kellogg.northwestern.edu/research/math/papers/1197.pdf
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    1. Drew Fudenberg & David M. Kreps & David K. Levine, 2008. "On the Robustness of Equilibrium Refinements," World Scientific Book Chapters,in: A Long-Run Collaboration On Long-Run Games, chapter 5, pages 67-93 World Scientific Publishing Co. Pte. Ltd..
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    Cited by:

    1. Fabrizio Germano, 2006. "On some geometry and equivalence classes of normal form games," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(4), pages 561-581, November.
    2. Morris, Stephen & Ui, Takashi, 2005. "Generalized potentials and robust sets of equilibria," Journal of Economic Theory, Elsevier, vol. 124(1), pages 45-78, September.
    3. Chen, Yi-Chun & di Tillio, Alfredo & Faingold, Eduardo & Xiong, Siyang, 2010. "Uniform topologies on types," Theoretical Economics, Econometric Society, vol. 5(3), September.
    4. UNO, Hiroshi, 2011. "Nested potentials and robust equilibria," CORE Discussion Papers 2011009, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    5. 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.

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