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Evolutionary and asymptotic stability in symmetric multi-player games


  • Maciej Bukowski


  • Jacek Miekisz



We provide a classification of symmetric three-player games with two strategies and investigate evolutionary and asymptotic stability (in the replicator dynamics) of their Nash equilibria. We discuss similarities and differences between two-player and multi-player games. In particular, we construct examples which exhibit a novel behavior not found in two-player games. Copyright Springer-Verlag 2004

Suggested Citation

  • Maciej Bukowski & Jacek Miekisz, 2004. "Evolutionary and asymptotic stability in symmetric multi-player games," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(1), pages 41-54, January.
  • Handle: RePEc:spr:jogath:v:33:y:2004:i:1:p:41-54 DOI: 10.1007/s001820400183

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    References listed on IDEAS

    1. Rafels, C. & Tijs, S.H., 1997. "On the cores of cooperative games and the stability of the Weber set," Other publications TiSEM 14435da8-14ce-4845-8e54-4, Tilburg University, School of Economics and Management.
    2. Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer;Game Theory Society, vol. 15(3), pages 187-200.
    3. Thomson, W., 1996. "Consistent Allocation Rules," RCER Working Papers 418, University of Rochester - Center for Economic Research (RCER).
    4. Lucas, William F., 1992. "Von Neumann-Morgenstern stable sets," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 17, pages 543-590 Elsevier.
    5. Peter Sudhölter & Bezalel Peleg, 2000. "The Positive Prekernel Of A Cooperative Game," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 2(04), pages 287-305.
    6. Keiding, Hans, 1986. "An axiomatization of the core of a cooperative game," Economics Letters, Elsevier, vol. 20(2), pages 111-115.
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    Cited by:

    1. Chaitanya Gokhale & Arne Traulsen, 2014. "Evolutionary Multiplayer Games," Dynamic Games and Applications, Springer, vol. 4(4), pages 468-488, December.
    2. Alger, Ingela & Weibull, Jörgen W., 2014. "Evolution leads to Kantian morality," TSE Working Papers 14-504, Toulouse School of Economics (TSE), revised Jun 2015.
    3. Harold Houba & Dinard van der Laan & Dirk Veldhuizen, 2008. "The Unique-lowest Sealed-bid Auction," Tinbergen Institute Discussion Papers 08-049/1, Tinbergen Institute.
    4. Harold Houba & Dinard Laan & Dirk Veldhuizen, 2011. "Endogenous entry in lowest-unique sealed-bid auctions," Theory and Decision, Springer, vol. 71(2), pages 269-295, August.
    5. Tadeusz Płatkowski, 2016. "Evolutionary Coalitional Games," Dynamic Games and Applications, Springer, vol. 6(3), pages 396-408, September.
    6. Alger, Ingela & Weibull, Jörgen W., 2016. "Evolution and Kantian morality," Games and Economic Behavior, Elsevier, vol. 98(C), pages 56-67.
    7. Bin Wu & Arne Traulsen & Chaitanya S. Gokhale, 2013. "Dynamic Properties of Evolutionary Multi-player Games in Finite Populations," Games, MDPI, Open Access Journal, vol. 4(2), pages 1-18, May.
    8. Jacek Miȩkisz & Michał Matuszak & Jan Poleszczuk, 2014. "Stochastic Stability in Three-Player Games with Time Delays," Dynamic Games and Applications, Springer, vol. 4(4), pages 489-498, December.
    9. repec:eee:thpobi:v:81:y:2012:i:4:p:264-272 is not listed on IDEAS


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