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An axiomatization of minimal curb sets


  • Voorneveld, Mark

    () (Dept. of Economics, Stockholm School of Economics)

  • Kets, Willemien

    (Department of Econometrics and Operations Research)

  • Norde, Henk

    (Department of Econometrics and Operations Research)


Norde et al. [Games Econ. Behav. 12 (1996) 219] proved that none of the equilibrium concepts in the literature on equilibrium selection in finite strategic games satisfying existence is consistent. A transition to set-valued solution concepts overcomes the inconsistency problem: there is a multiplicity of consistent set-valued solution concepts that satisfy nonemptiness and recommend utility maximization in one-player games. The minimal curb sets of Basu and Weibull [Econ. Letters 36 (1991) 141] constitute one such solution concept; they are axiomatized in this article.

Suggested Citation

  • Voorneveld, Mark & Kets, Willemien & Norde, Henk, 2005. "An axiomatization of minimal curb sets," SSE/EFI Working Paper Series in Economics and Finance 589, Stockholm School of Economics, revised 23 Mar 2005.
  • Handle: RePEc:hhs:hastef:0589

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    1. van Damme, Eric, 1998. "On the State of the Art in Game Theory: An Interview with Robert Aumann," Games and Economic Behavior, Elsevier, vol. 24(1-2), pages 181-210, July.
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    5. Chwe Michael Suk-Young, 1994. "Farsighted Coalitional Stability," Journal of Economic Theory, Elsevier, vol. 63(2), pages 299-325, August.
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    8. Peleg, Bezalel & Potters, Jos A M & Tijs, Stef H, 1996. "Minimality of Consistent Solutions for Strategic Games, in Particular for Potential Games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(1), pages 81-93, January.
    9. Norde, Henk & Potters, Jos & Reijnierse, Hans & Vermeulen, Dries, 1996. "Equilibrium Selection and Consistency," Games and Economic Behavior, Elsevier, vol. 12(2), pages 219-225, February.
    10. Ehud Kalai & Dov Samet, 1982. "Persistent Equilibria in Strategic Games," Discussion Papers 515, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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    Cited by:

    1. Kets, W., 2008. "Networks and learning in game theory," Other publications TiSEM 7713fce1-3131-498c-8c6f-3, Tilburg University, School of Economics and Management.
    2. Kets, W. & Voorneveld, M., 2005. "Learning to be Prepared," Discussion Paper 2005-117, Tilburg University, Center for Economic Research.
    3. repec:spr:compst:v:71:y:2010:i:1:p:85-101 is not listed on IDEAS
    4. Olivier Tercieux & Mark Voorneveld, 2010. "The cutting power of preparation," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 71(1), pages 85-101, February.
    5. Gilles Grandjean & Ana Mauleon & Vincent Vannetelbosch, 2017. "Strongly rational sets for normal-form games," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 35-46, April.

    More about this item


    Minimal curb sets; Consistency;

    JEL classification:

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

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