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PARETO EQUILIBRIA FOR BIMATRIX GAMES
BORM PEM, JANSEN MJM, POTTERS JAM, TIJS SH
COMPUTERS & MATHEMATICS WITH APPLICATIONS 25 (10-11): 19-25 MAY-JUN 1993

Document type: Article

Language: English

Cited References: 18

Times Cited: 3

Abstract:
In this paper, it is shown that the structure of the set of Pareto equilibria for a bimatrix game resembles the structure of the set of (perfect) Nash equilibria. Maximal Pareto subsets are introduced to take over the role of maximal Nash subsets. It is found that the set of Pareto equilibria is the finite union of maximal Pareto subsets. By extending the dimension relation for maximal Nash subsets to faces of such sets, a dimension relation for maximal Pareto subsets is derived. Finally, some remarks are made on the structure of the sets of proper and persistent equilibria.

Addresses:
BORM PEM, DEPT ECONOMETR,POB 90153,5000 LE TILBURG,NETHERLANDS
CATHOLIC UNIV NIJMEGEN,NICI,DEPT MATH,6525 ED NIJMEGEN,NETHERLANDS
OPEN UNIV,6401 DL HEERLEN,NETHERLANDS

Publisher:
PERGAMON-ELSEVIER SCIENCE LTD, OXFORD

IDS Number:
KU420

ISSN:
0898-1221

Article 33 of 40

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