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Some Remarks on the Folk Theorem in Game Theory

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  • Mamoru Kaneko

    (University of Tsukuba)

Abstract

It is argued that although the pathological multiplicity of Nash equilibria of super games stated by the folk theorem can be removed by introducing limited observations into super games with a continuum of players, the consideration of super games in terms of the Nash equilibrium concept involves a more fundamental and conceptual difficulty.

Suggested Citation

  • Mamoru Kaneko, 1981. "Some Remarks on the Folk Theorem in Game Theory," Cowles Foundation Discussion Papers 607, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:607
    Note: CFP 562.
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    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d06/d0607.pdf
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    References listed on IDEAS

    as
    1. Kaneko, Mamoru, 1987. "The conventionally stable sets in noncooperative games with limited observations I: Definitions and introductory arguments," Mathematical Social Sciences, Elsevier, vol. 13(2), pages 93-128, April.
    2. R. J. Aumann & M. Maschler, 1972. "Some Thoughts on the Minimax Principle," Management Science, INFORMS, vol. 18(5-Part-2), pages 54-63, January.
    3. Rubinstein, Ariel, 1979. "Equilibrium in supergames with the overtaking criterion," Journal of Economic Theory, Elsevier, vol. 21(1), pages 1-9, August.
    4. Mamoru Kaneko, 1982. "The Conventionally Stable Sets in Noncooperative Games with Limited Observations: The Application to Monopoly and Oligopoly," Cowles Foundation Discussion Papers 614, Cowles Foundation for Research in Economics, Yale University.
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    Cited by:

    1. Berliant, Marcus, 2020. "Daily commuting," MPRA Paper 100169, University Library of Munich, Germany.
    2. Batlome Janjgava & Sergey Slobodyan, 2011. "Duopoly Competition, Escape Dynamics and Non-cooperative Collusion," CERGE-EI Working Papers wp445, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    3. Yasuhiro Shirata, 2020. "Evolution of a Collusive Price in a Networked Market," Dynamic Games and Applications, Springer, vol. 10(2), pages 528-554, June.
    4. Berliant, Marcus, 2011. "Repeated Commuting," MPRA Paper 28979, University Library of Munich, Germany.
    5. Barry G. Silverman & Gnana Bharathy & Benjamin Nye & Tony Smith, 2008. "Modeling factions for ‘effects based operations’, part II: behavioral game theory," Computational and Mathematical Organization Theory, Springer, vol. 14(2), pages 120-155, June.
    6. Lorenzo Rocco, 2007. "Anonymity in nonatomic games," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 54(2), pages 225-247, June.
    7. Forges, Francoise & Minelli, Enrico, 1997. "Self-Fulfilling Mechanisms and Rational Expectations," Journal of Economic Theory, Elsevier, vol. 75(2), pages 388-406, August.
    8. Giraud, Gael & Stahn, Hubert, 2003. "Efficiency and imperfect competition with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 559-583, July.
    9. Gaël GIRAUD & Sonia WEYERS, 2003. "Strategic Market Games with a Finite Horizon and Incomplete," Working Papers of BETA 2003-04, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.

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