The structure of the set of equilibria for two person multicriteria games
AbstractIn 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 InfoPaper provided by Tilburg University in its series Open Access publications from Tilburg University with number urn:nbn:nl:ui:12-117079.
Date of creation: 2003
Date of revision:
Publication status: Published in European Journal of Operational Research (2003) v.148, p.480-493
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Other versions of this item:
- Borm, Peter & Vermeulen, Dries & Voorneveld, Mark, 2003. "The structure of the set of equilibria for two person multicriteria games," European Journal of Operational Research, Elsevier, vol. 148(3), pages 480-493, August.
- Borm, P.E.M. & Vermeulen, D. & Voorneveld, M., 1998. "The Structure of the Set of Equilibria for Two Person Multicriteria Games," Discussion Paper 1998-75, Tilburg University, Center for Economic Research.
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
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