On generalized weight Nash equilibria for generalized multiobjective games

被引：0

作者：

Kim, WK ^{[1
]}

Ding, XP

机构：

[1] Chungbuk Natl Univ, Dept Math Educ, Cheongju 361763, South Korea

[2] Sichuan Normal Univ, Dept Math, Chengdu 610066, Sichuan, Peoples R China

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2003年 / 40卷 / 05期

关键词：

generalized multiobjective game; generalized weight Nash equilibrium; generalized Pareto equilibrium;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we will introduce the general concepts of generalized multiobjective game, generalized weight Nash equilibria and generalized Pareto equilibria. Next using the fixed point theorems due to ldzik [5] and Kim-Tan [6], we shall prove the existence theorems of generalized weight Nash equilibria tinder general hypotheses. And as applications of generalized weight Nash equilibria, we shall prove the existence of generalized Pareto equilibria in non-compact generalized multiobjective game.

引用

页码：883 / 899

页数：17

共 50 条

[1] Essential components of the set of weakly Pareto-Nash equilibria for multiobjective generalized games
Yang, H
[J]. ICM MILLENNIUM LECTURES ON GAMES, 2003, : 267 - 278
[2] Learning Generalized Nash Equilibria in a Class of Convex Games
Tatarenko, Tatiana
Kamgarpour, Maryam
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 64 (04) : 1426 - 1439
[3] Computing Nash Equilibria in Generalized Interdependent Security Games
Chan, Hau
Ortiz, Luis E.
[J]. ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 27 (NIPS 2014), 2014, 27
[4] Existence of Nash equilibria for generalized multiobjective games through the vector extension of Weierstrass and Berge maximum theorems
Cotrina, John
Flores-Bazan, Fabian
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 442
[5] Existence of Nash equilibria for generalized games without upper semicontinuity
Cubiotti, P
[J]. INTERNATIONAL JOURNAL OF GAME THEORY, 1997, 26 (02) : 267 - 273
[6] Existence of Nash equilibria for generalized games without upper semicontinuity
Cubiotti P.
[J]. International Journal of Game Theory, 1997, 26 (2) : 267 - 273
[7] Optimal Selection and Tracking Of Generalized Nash Equilibria in Monotone Games
Benenati, Emilio
Ananduta, Wicak
Grammatico, Sergio
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2023, 68 (12) : 7644 - 7659
[8] Jointly Convex Generalized Nash Equilibria and Elliptic Multiobjective Optimal Control
Dreves, Axel
Gwinner, Joachim
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2016, 168 (03) : 1065 - 1086
[9] Jointly Convex Generalized Nash Equilibria and Elliptic Multiobjective Optimal Control
Axel Dreves
Joachim Gwinner
[J]. Journal of Optimization Theory and Applications, 2016, 168 : 1065 - 1086
[10] ON COURNOT-NASH EQUILIBRIA IN GENERALIZED QUALITATIVE GAMES WITH A CONTINUUM OF PLAYERS
ALIKHAN, M
PAPAGEORGIOU, NS
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1987, 11 (06) : 741 - 755

← 1 2 3 4 5 →