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Two examples on strategic equilibrium

Author

Listed:
  • MERTENS, Jean-François

    (Center for Mathematical Economics and Game Theory, S.U.N.Y at Stony Brook, Stony Brook, NY 11794)

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.

Suggested Citation

  • MERTENS, Jean-François, 1992. "Two examples on strategic equilibrium," LIDAM Discussion Papers CORE 1992008, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:1992008
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    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp1992.html
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    2. 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.
    3. Jackson, Matthew O. & Tan, Xu, 2013. "Deliberation, disclosure of information, and voting," Journal of Economic Theory, Elsevier, vol. 148(1), pages 2-30.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. Gatti, Nicola & Gilli, Mario & Marchesi, Alberto, 2020. "A characterization of quasi-perfect equilibria," Games and Economic Behavior, Elsevier, vol. 122(C), pages 240-255.
    9. 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.
    10. 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.
    11. Dmitry Levando, 2017. "Formation of coalition structures as a non-cooperative game," Post-Print halshs-01491935, HAL.
    12. 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.
    13. 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.
    14. Dmitry Levando, 2017. "Formation of coalition structures as a non-cooperative game," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01491935, HAL.
    15. Ohnishi, Kazuhiro, 2018. "Non-Altruistic Equilibria," MPRA Paper 88347, University Library of Munich, Germany.

    More about this item

    JEL classification:

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

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