IDEAS home Printed from https://ideas.repec.org/p/zbw/sfb373/200073.html
   My bibliography  Save this paper

On the dynamic foundation of evolutionary stability in continuous models

Author

Listed:
  • Oechssler, Jörg
  • Riedel, Frank

Abstract

We show in this paper that none of the existing static evolutionary stability concepts (ESS, CSS, uninvadability, NIS) is sufficient to guarantee dynamic stability in the weak topology with respect to standard evolutionary dynamics if the strategy space is continuous. We propose a new concept, evolutionary robustness, which is stronger than the previous concepts. Evolutionary robustness ensures dynamic stability for replicator dynamics in doubly symmetric games.

Suggested Citation

  • Oechssler, Jörg & Riedel, Frank, 2000. "On the dynamic foundation of evolutionary stability in continuous models," SFB 373 Discussion Papers 2000,73, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    • Handle: RePEc:zbw:sfb373:200073
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/62167/1/723854130.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Bester, Helmut & Guth, Werner, 1998. "Is altruism evolutionarily stable?," Journal of Economic Behavior & Organization, Elsevier, vol. 34(2), pages 193-209, February.
    2. J. Maynard Smith, 2010. "The Theory of Games and Evolution of Animal Conflicts," Levine's Working Paper Archive 448, David K. Levine.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ingela Alger & Jörgen W. Weibull, 2013. "Homo Moralis—Preference Evolution Under Incomplete Information and Assortative Matching," Econometrica, Econometric Society, vol. 81(6), pages 2269-2302, November.
    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. Müller, W. & Normann, H.T., 2003. "Conjectural Variations and Evolutionary Stability : A New Rationale for Consistency," Discussion Paper 2003-44, Tilburg University, Center for Economic Research.
    4. Marc Le Menestrel, 2003. "A one-shot Prisoners’ Dilemma with procedural utility," Economics Working Papers 819, Department of Economics and Business, Universitat Pompeu Fabra.
    5. Mengel, Friederike, 2008. "Matching structure and the cultural transmission of social norms," Journal of Economic Behavior & Organization, Elsevier, vol. 67(3-4), pages 608-623, September.
    6. T. Guse & B. Hehenkamp, 2006. "The strategic advantage of interdependent preferences in rent-seeking contests," Public Choice, Springer, vol. 129(3), pages 323-352, December.
    7. Mauricio G. Villena & Marcelo J. Villena, 2004. "Evolutionary Game Theory and Thorstein Veblen’s Evolutionary Economics: Is EGT Veblenian?," Journal of Economic Issues, Taylor & Francis Journals, vol. 38(3), pages 585-610, September.
    8. Müller, Stephan, 2014. "The evolution of inequality aversion in a simplified game of life," University of Göttingen Working Papers in Economics 219, University of Goettingen, Department of Economics.
    9. Benedikt Herrmann & Henrik Orzen, 2008. "The appearance of homo rivalis: Social preferences and the nature of rent seeking," Discussion Papers 2008-10, The Centre for Decision Research and Experimental Economics, School of Economics, University of Nottingham.
    10. Kai A. Konrad, 2004. "Altruism and envy in contests: An evolutionarily stable symbiosis," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 22(3), pages 479-490, June.
    11. Gamba, Astrid, 2013. "Learning and evolution of altruistic preferences in the Centipede Game," Journal of Economic Behavior & Organization, Elsevier, vol. 85(C), pages 112-117.
    12. Weibull, Jörgen & Salomonsson, Marcus, 2005. "Natural selection and social preferences," SSE/EFI Working Paper Series in Economics and Finance 588, Stockholm School of Economics, revised 27 Sep 2005.
    13. Thijssen, J.J.J., 2003. "Investment under uncertainty, market evolution and coalition spillovers in a game theoretic perspective," Other publications TiSEM 672073a6-492e-4621-8d4a-0, Tilburg University, School of Economics and Management.
    14. Norman, Thomas W.L., 2012. "Equilibrium selection and the dynamic evolution of preferences," Games and Economic Behavior, Elsevier, vol. 74(1), pages 311-320.
    15. Antonio E. Bernardo & Ivo Welch, 2001. "On the Evolution of Overconfidence and Entrepreneurs," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 10(3), pages 301-330, September.
    16. Carrasco, José A. & Harrison, Rodrigo & Villena, Mauricio, 2018. "Interdependent preferences and endogenous reciprocity," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 76(C), pages 68-75.
    17. Hehenkamp, B. & Leininger, W. & Possajennikov, A., 2004. "Evolutionary equilibrium in Tullock contests: spite and overdissipation," European Journal of Political Economy, Elsevier, vol. 20(4), pages 1045-1057, November.
    18. Demichelis, Stefano & Ritzberger, Klaus, 2003. "From evolutionary to strategic stability," Journal of Economic Theory, Elsevier, vol. 113(1), pages 51-75, November.
    19. Adriani, Fabrizio & Sonderegger, Silvia, 2015. "Trust, trustworthiness and the consensus effect: An evolutionary approach," European Economic Review, Elsevier, vol. 77(C), pages 102-116.
    20. Jan Potters & Sigrid Suetens, 2009. "Cooperation in Experimental Games of Strategic Complements and Substitutes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(3), pages 1125-1147.

    More about this item

    Keywords

    replicator dynamics; evolutionary stability; ESS; CSS;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:zbw:sfb373:200073. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/sfhubde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.