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The Structure of the Set of Equilibria for Two Person Multicriteria Games

Borm,P.E.M.
; 
Vermeulen,D.
; 
Voorneveld,M.
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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Pagination: 20
Date
1998
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Publisher
Microeconomics
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Tilburg University Research Output Collection
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Keywords
game theory, equilibrium theory, C61 - Optimization Techniques ; Programming Models ; Dynamic Analysis, C72 - Noncooperative Games
Citation
Borm, P E M, Vermeulen, D & Voorneveld, M 1998 'The Structure of the Set of Equilibria for Two Person Multicriteria Games' CentER Discussion Paper, vol. 1998-75, Microeconomics, Tilburg.
URI
https://hdl.handle.net/20.500.14602/26479
License
info:eu-repo/semantics/restrictedAccess
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