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Axiomatizations of Pareto Equilibria in Multicriteria Games

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  • Voorneveld, Mark
  • Vermeulen, Dries
  • Borm, Peter

Abstract

We focus on axiomatizations of the Pareto equilibrium concept in multicriteria games based on consistency.Axiomatizations of the Nash equilibrium concept by Peleg and Tijs (1996) and Peleg, Potters, and Tijs (1996) have immediate generalizations.The axiomatization of Norde et al.(1996) cannot be generalized without the use of an additional axiom.
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  • Voorneveld, Mark & Vermeulen, Dries & Borm, Peter, 1999. "Axiomatizations of Pareto Equilibria in Multicriteria Games," Games and Economic Behavior, Elsevier, vol. 28(1), pages 146-154, July.
  • Handle: RePEc:eee:gamebe:v:28:y:1999:i:1:p:146-154
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    1. Peleg, Bezalel & Tijs, Stef, 1996. "The Consistency Principle for Games in Strategic Forms," International Journal of Game Theory, Springer;Game Theory Society, vol. 25(1), pages 13-34.
    2. 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.
    3. 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.
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    Cited by:

    1. Georgios Gerasimou, 2014. "Dominance Solvable Games with Multiple Payoff Criteria," Discussion Paper Series, Department of Economics 201406, Department of Economics, University of St. Andrews, revised 22 Jan 2018.
    2. repec:kap:theord:v:83:y:2017:i:3:d:10.1007_s11238-017-9595-y is not listed on IDEAS
    3. Karima Fahem & Mohammed Radjef, 2015. "Properly efficient Nash equilibrium in multicriteria noncooperative games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 82(2), pages 175-193, October.
    4. 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.

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    JEL classification:

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

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