EQUILIBIA OF NONCOMPACT GENERALIZED GAMES WITH CORRESPONDENCES WITHOUT OPEN LOWER SECTIONS

数学物理学报(英文版) ›› 1998, Vol. 18 ›› Issue (1): 79-89.

EQUILIBIA OF NONCOMPACT GENERALIZED GAMES WITH CORRESPONDENCES WITHOUT OPEN LOWER SECTIONS

丁协平

Deparfment of Mathematics, Sichuan Normal University, Chengdu, 610066, China

收稿日期:1996-01-08 修回日期:1996-11-05 出版日期:1998-03-25 发布日期:1998-03-25
基金资助:
This project supported by the Natural Science Foundation of Sichuan Educational Conmunittee

EQUILIBIA OF NONCOMPACT GENERALIZED GAMES WITH CORRESPONDENCES WITHOUT OPEN LOWER SECTIONS

Ding Xieping

Deparfment of Mathematics, Sichuan Normal University, Chengdu, 610066, China

Received:1996-01-08 Revised:1996-11-05 Online:1998-03-25 Published:1998-03-25
Supported by:
This project supported by the Natural Science Foundation of Sichuan Educational Conmunittee

摘要/Abstract

摘要： The new classes of L_{F_c}-correspondences and L_{F_c} -majorised correspondences without open lower sections is introduced. Some existence theorems of madximal elements of the L_{F_c} -correspondences and the L_{F_c}-majorized correspondences defined on noncompact set in topological vector spaces are obtained. As applications, some existence theorems of equilibrium points for one-person games, qualitative games and generalized games with the L_{F_c} -majorized correspondences devined on noncompact strategy sets in topological vector spaces are also given. These theorems improve and generalize several known results in recent literature.

关键词: Generalized games, L_{F_c}-majorized correspondence, transfer compactly openvalued, equilibrium

Abstract: The new classes of L_{F_c}-correspondences and L_{F_c} -majorised correspondences without open lower sections is introduced. Some existence theorems of madximal elements of the L_{F_c} -correspondences and the L_{F_c}-majorized correspondences defined on noncompact set in topological vector spaces are obtained. As applications, some existence theorems of equilibrium points for one-person games, qualitative games and generalized games with the L_{F_c} -majorized correspondences devined on noncompact strategy sets in topological vector spaces are also given. These theorems improve and generalize several known results in recent literature.

Key words: Generalized games, L_{F_c}-majorized correspondence, transfer compactly openvalued, equilibrium

丁协平. EQUILIBIA OF NONCOMPACT GENERALIZED GAMES WITH CORRESPONDENCES WITHOUT OPEN LOWER SECTIONS[J]. 数学物理学报(英文版), 1998, 18(1): 79-89.

Ding Xieping. EQUILIBIA OF NONCOMPACT GENERALIZED GAMES WITH CORRESPONDENCES WITHOUT OPEN LOWER SECTIONS[J]. Acta mathematica scientia,Series B, 1998, 18(1): 79-89.

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EQUILIBIA OF NONCOMPACT GENERALIZED GAMES WITH CORRESPONDENCES WITHOUT OPEN LOWER SECTIONS

EQUILIBIA OF NONCOMPACT GENERALIZED GAMES WITH CORRESPONDENCES WITHOUT OPEN LOWER SECTIONS

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