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The Consistency Principle for Set-Valued Solutions and a New Direction for Normative Game Theory

Author

Listed:
  • Dufwenberg, M.
  • Norde, H.
  • Reijnierse, H.
  • Tijs, S.

Abstract

We extend the consistency principle for strategic games (Peleg and Tijs (1996)) to apply to solutions which assign to each game a collection of product sets of strategies. Such solutions turn out to satisfy desirable properties that solutions assigning to each game a collection of strategy profiles lack. Our findings lead us to propose a new direction for normative game theory.

Suggested Citation

  • Dufwenberg, M. & Norde, H. & Reijnierse, H. & Tijs, S., 1998. "The Consistency Principle for Set-Valued Solutions and a New Direction for Normative Game Theory," Papers 1998-11, Uppsala - Working Paper Series.
  • Handle: RePEc:fth:uppaal:1998-11
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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. Mosquera, M.A. & Borm, P. & Fiestras-Janeiro, M.G. & García-Jurado, I. & Voorneveld, M., 2008. "Characterizing cautious choice," Mathematical Social Sciences, Elsevier, vol. 55(2), pages 143-155, March.
    3. Voorneveld, Mark, 2002. "Preparation and toolkit learning," SSE/EFI Working Paper Series in Economics and Finance 485, Stockholm School of Economics.
    4. Voorneveld, Mark, 2004. "Preparation," Games and Economic Behavior, Elsevier, vol. 48(2), pages 403-414, August.
    5. Werner Güth, 2002. "On the Inconsistency of Equilibrium Refinement," Theory and Decision, Springer, vol. 53(4), pages 371-392, December.
    6. Mark Voorneveld & Willemien Kets & Henk Norde, 2006. "An Axiomatization of Minimal Curb Sets," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(1), pages 153-153, April.
    7. Norman, Thomas W.L., 2008. "Dynamically stable sets in infinite strategy spaces," Games and Economic Behavior, Elsevier, vol. 62(2), pages 610-627, March.
    8. Siegfried Berninghaus & Werner G³th & Hartmut Kliemt, 2003. "Reflections on Equilibrium: Ideal Rationality and Analytic Decomposition of Games," Homo Oeconomicus, Institute of SocioEconomics, vol. 20, pages 257-302.

    More about this item

    Keywords

    GAME THEORY;

    JEL classification:

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

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