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An axiomatization of minimal curb sets

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Author Info
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)

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Abstract

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.

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Publisher Info
Paper provided by Stockholm School of Economics in its series Working Paper Series in Economics and Finance with number 589.

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Length: 11 pages
Date of creation: 04 Mar 2005
Date of revision: 18 Mar 2005
Publication status: Forthcoming in International Journal of Game Theory.
Handle: RePEc:hhs:hastef:0589

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Related research
Keywords: Minimal curb sets; Consistency;

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Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May. [Downloadable!] (restricted)
  2. Basu, Kaushik & Weibull, Jorgen W., 1991. "Strategy subsets closed under rational behavior," Economics Letters, Elsevier, vol. 36(2), pages 141-146, June. [Downloadable!] (restricted)
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  3. Peleg, Bezalel & Tijs, Stef, 1996. "The Consistency Principle for Games in Strategic Forms," International Journal of Game Theory, Springer, vol. 25(1), pages 13-34.
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  4. Dufwenberg, Martin & Norde, Henk & Reijnierse, Hans & Tijs, Stef, 1998. "The Consistency Principle for Set-valued Solutions and a New Direction for Normative Game Theory," Working Paper Series 1998:11, Uppsala University, Department of Economics.
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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. [Downloadable!] (restricted)
  6. Ehud Kalai & Dov Samet, 1982. "Persistent Equilibria in Strategic Games," Discussion Papers 515, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  7. Hurkens Sjaak, 1995. "Learning by Forgetful Players," Games and Economic Behavior, Elsevier, vol. 11(2), pages 304-329, November. [Downloadable!] (restricted)
  8. Bernheim, B Douglas, 1984. "Rationalizable Strategic Behavior," Econometrica, Econometric Society, vol. 52(4), pages 1007-28, July. [Downloadable!] (restricted)
  9. 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, vol. 7(1), pages 81-93, January.
  10. Voorneveld, Mark, 2005. "Persistent retracts and preparation," Games and Economic Behavior, Elsevier, vol. 51(1), pages 228-232, April. [Downloadable!] (restricted)
  11. Voorneveld, Mark, 2004. "Preparation," Games and Economic Behavior, Elsevier, vol. 48(2), pages 403-414, August. [Downloadable!] (restricted)
  12. 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. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Tercieux, Olivier & Voorneveld, Mark, 2005. "The cutting power of preparation," Discussion Paper 94, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  2. Kets, Willemien & Voorneveld, Mark, 2005. "Learning to be prepared," Discussion Paper 117, Tilburg University, Center for Economic Research. [Downloadable!]
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