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Two examples of strategic equilibrium

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  • MERTENS, J.-F.

Abstract

The first example is a two person game with a unique dominant strategy for each player where the dominant strategy equilibrium is not extensive form perfect. It is argued that the concept of quasi-perfect equilibria may be superior to that of perfect equilibria. The second example is a two person game with perfect information and unique subgame perfect equilibrium, and a unique stable set, but where the latter allows different outcomes.
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Suggested Citation

  • Mertens, J.-F., 1995. "Two examples of strategic equilibrium," CORE Discussion Papers RP 1137, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  • Handle: RePEc:cor:louvrp:1137
    Note: In : Games and Economic Behavior, 8, 378-388, 1995
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    File URL: http://dx.doi.org/10.1016/S0899-8256(05)80007-7
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    References listed on IDEAS

    as
    1. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, January.
    2. Van Damme, E., 1991. "Refinements of Nash Equilibrium," Papers 9107, Tilburg - Center for Economic Research.
    3. Myerson, R B, 1986. "Acceptable and Predominant Correlated Equilibria," International Journal of Game Theory, Springer;Game Theory Society, vol. 15(3), pages 133-154.
    4. van Damme, E.E.C., 1984. "A relation between perfect equilibria in extensive form games and proper equilibria in normal form games," Other publications TiSEM 3734d89e-fd5c-4c80-a230-5, Tilburg University, School of Economics and Management.
    5. Kohlberg, Elon & Mertens, Jean-Francois, 1986. "On the Strategic Stability of Equilibria," Econometrica, Econometric Society, vol. 54(5), pages 1003-1037, September.
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    Cited by:

    1. Günther Lang, 2001. "Bargaining and the observability of contractual commitments via third parties," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 7(2), pages 213-230, May.
    2. Jackson, Matthew O. & Tan, Xu, 2013. "Deliberation, disclosure of information, and voting," Journal of Economic Theory, Elsevier, vol. 148(1), pages 2-30.
    3. Peter Miltersen & Troels Sørensen, 2010. "Computing a quasi-perfect equilibrium of a two-player game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 42(1), pages 175-192, January.
    4. Carlos Pimienta & Jianfei Shen, 2014. "On the equivalence between (quasi-)perfect and sequential equilibria," International Journal of Game Theory, Springer;Game Theory Society, vol. 43(2), pages 395-402, May.
    5. Dmitry Levando, 2017. "Formation of coalition structures as a non-cooperative game," Documents de travail du Centre d'Economie de la Sorbonne 17015, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    6. Dmitry Levando, 2017. "Formation of Coalition Structures as a Non-Cooperative Game," HSE Working papers WP BRP 157/EC/2017, National Research University Higher School of Economics.
    7. Dmitry Levando, 2017. "Formation of coalition structures as a non-cooperative game," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01491935, HAL.
    8. repec:kap:iaecre:v:7:y:2001:i:2:p:213-230 is not listed on IDEAS

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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