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

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Author Info
Borm, P.
Vermeulen, D.
Voorneveld, M. (Tilburg University, Center for Economic Research)

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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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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 75.

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Date of creation: 1998
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Handle: RePEc:dgr:kubcen:199875

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Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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  1. 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. [Downloadable!] (restricted)
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  1. Schulteis,Tim & Perea,Andres & Peters,Hans & Vermeulen,Dries, 2004. "Revision of conjectures about the opponent's utilities in signaling games," Research Memoranda 008, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
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