TY - JOUR
T1 - The structure of Pareto equilibria of two-person multicriteria games
AU - Borm, P.J.A.
AU - Vermeulen, A.J.
AU - voorneveld, M.
PY - 2003/1/1
Y1 - 2003/1/1
N2 - 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.
AB - 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.
U2 - 10.1016/S0377-2217(02)00406-X
DO - 10.1016/S0377-2217(02)00406-X
M3 - Article
SN - 0377-2217
VL - 148
SP - 480
EP - 493
JO - European Journal of Operational Research
JF - European Journal of Operational Research
ER -