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The structure of the set of equilibria for two person multicriteria games

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

Abstract

In this paper the structure of the set of equilibria for two person multicriteria games is analysed. It turns out that the classical result for the set of equilibria for bimatrix games, that it is a finite union of polytopes, is only valid for multicriteria games if one of the players only has two pure strategies. A full polyhedral description of these polytopes can be derived when the player with an arbitrary number of pure strategies has one criterion.

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Bibliographic Info

Article provided by Elsevier in its journal European Journal of Operational Research.

Volume (Year): 148 (2003)
Issue (Month): 3 (August)
Pages: 480-493

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Handle: RePEc:eee:ejores:v:148:y:2003:i:3:p:480-493

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  1. D. Blackwell, 2010. "An Analog of the Minmax Theorem for Vector Payoffs," Levine's Working Paper Archive 466, David K. Levine.
  2. Borm, P.E.M. & Tijs, S.H. & Aarssen, J.C.M. van den, 1988. "Pareto equilibria in multiobjective games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-146611, Tilburg University.
  3. Blume, Lawrence E & Zame, William R, 1994. "The Algebraic Geometry of Perfect and Sequential Equilibrium," Econometrica, Econometric Society, vol. 62(4), pages 783-94, July.
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Cited by:
  1. Tim Schulteis & Andres Perea & Hans Peters & Dries Vermeulen, 2007. "Revision of conjectures about the opponent’s utilities in signaling games," Economic Theory, Springer, vol. 30(2), pages 373-384, February.
  2. Luisa Monroy & Amparo M. Mármol & Victoriana Rubiales, 2005. "A bargaining model for finite n-person multi-criteria games," Economic Working Papers at Centro de Estudios Andaluces E2005/21, Centro de Estudios Andaluces.

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