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Two examples of strategic equilibrium

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  • Mertens, J.-F.

Abstract

Two examples of strategic equilibrium are given. 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, a unique subgame perfect equilibrium, and a unique stable set, but where the latter allows different outcomes. Journal of Economic Literature Classification Number: C72.

Suggested Citation

  • Mertens, J.-F., 1995. "Two examples of strategic equilibrium," Games and Economic Behavior, Elsevier, vol. 8(2), pages 378-388.
    • Handle: RePEc:eee:gamebe:v:8:y:1995:i:2:p:378-388
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    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, April.
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    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.
    6. MERTENS, Jean-François, 1991. "Stable equilibria - a reformulation. Part II. Discussion of the definition, and further results," LIDAM Reprints CORE 960, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. Jackson, Matthew O. & Tan, Xu, 2013. "Deliberation, disclosure of information, and voting," Journal of Economic Theory, Elsevier, vol. 148(1), pages 2-30.
    2. 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.
    3. 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.
    4. Etessami, Kousha, 2021. "The complexity of computing a (quasi-)perfect equilibrium for an n-player extensive form game," Games and Economic Behavior, Elsevier, vol. 125(C), pages 107-140.
    5. Balkenborg, Dieter & Vermeulen, Dries, 2019. "On the topology of the set of Nash equilibria," Games and Economic Behavior, Elsevier, vol. 118(C), pages 1-6.
    6. Nicola, Gatti & Mario, Gilli & Fabio, Panozzo, 2016. "Further results on verification problems in extensive-form games," Working Papers 347, University of Milano-Bicocca, Department of Economics, revised 15 Jul 2016.
    7. Dmitry Levando, 2017. "Formation of coalition structures as a non-cooperative game," Post-Print halshs-01491935, HAL.
    8. 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.
    9. Dmitry Levando, 2017. "Formation of coalition structures as a non-cooperative game," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01491935, HAL.
    10. 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.
    11. 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.
    12. Gatti, Nicola & Gilli, Mario & Marchesi, Alberto, 2020. "A characterization of quasi-perfect equilibria," Games and Economic Behavior, Elsevier, vol. 122(C), pages 240-255.
    13. Dmitry Levando, 2017. "Formation of coalition structures as a non-cooperative game," Documents de travail du Centre d'Economie de la Sorbonne 17015r, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised May 2017.
    14. Ohnishi, Kazuhiro, 2018. "Non-Altruistic Equilibria," MPRA Paper 88347, University Library of Munich, Germany.

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    JEL classification:

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

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