ON THE STRUCTURE OF THE SET OF PERFECT EQUILIBRIA IN BIMATRIX GAMES

被引：8

作者：

BORM, PEM

JANSEN, MJM

POTTERS, JAM

TIJS, SH

机构：

[1] DEPT ECONOMETR,5000 LE TILBURG,NETHERLANDS

[2] CATHOLIC UNIV NIJMEGEN,NICI,DEPT MATH,6525 ED NIJMEGEN,NETHERLANDS

[3] OPEN UNIV,6401 DL HEERLEN,NETHERLANDS

来源：

OR SPEKTRUM | 1993年 / 15卷 / 01期

关键词：

BIMATRIX GAME; PERFECT EQUILIBRIUM; UNDOMINATED EQUILIBRIUM; (MAXIMAL) SELTEN SET;

D O I：

10.1007/BF01783413

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper attention is focussed on the structure of the set of perfect equilibria. It turns out that the structure of this set resembles the structure of the Nash equilibrium set. Maximal Selten subsets are introduced to take the role of maximal Nash subsets. It is found that the set of perfect equilibria is the finite union of maximal Selten subsets. Furthermore it is shown that the dimension relation for maximal Nash subsets can be extended to faces of such sets. As a result a dimension relation for maximal Selten subsets is derived.

引用

页码：17 / 20

页数：4

共 14 条

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[2]

GALE D, 1950, ANN MATH STUD, V24, P37

[3] NASH SUBSETS AND MOBILITY CHAINS IN BIMATRIX GAMES [J].