The Well-Posedness for Generalized Fuzzy Games

被引：0

作者：

WANG Nengfa ^{[1
,2
]}

YANG Zhe ^{[3
,4
]}

机构：

[1] Department of Mathematics, Guizhou University

[2] School of Mathematics and Statistics, Guizhou University of Finance and Economics

[3] School of Economics, Shanghai University of Finance and Economics

[4] Key Laboratory of Mathematical Economics (SUFE), Ministry of Education

来源：

JournalofSystemsScience&Complexity | 2017年 / 30卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Generalized fuzzy game; nonlinear scalarization function; well-posedness;

D O I：

暂无

中图分类号：

O159 [模糊数学]; O225 [对策论（博弈论）];

学科分类号：

070104 ; 070105 ; 1201 ;

摘要：

This paper establishes the stable results for generalized fuzzy games by using a nonlinear scalarization technique. The authors introduce some concepts of well-posedness for generalized fuzzy games. Moreover, the authors identify a class of generalized fuzzy games such that every element of the collection is generalized well-posed, and there exists a dense residual subset of the collection, where every generalized fuzzy game is robust well-posed.

引用

页码：921 / 931

页数：11

共 17 条

[1] 关于良定问题 [J].

俞建 .

应用数学学报, 2011, 34 (06) :1007-1022

[2]

On the existence of maximal elements, fixed points and equilibria of generalized games in a fuzzy environment[J] . Vincenzo Scalzo.Fuzzy Sets and Systems . 2015

[3]

New results on equilibria of abstract fuzzy economies[J] . Monica Patriche.Fuzzy Sets and Systems . 2014

[4]

( λ , ? ) -stable model and essential equilibria[J] . Yusuke Miyazaki,Hiromi Azuma.Mathematical Social Sciences . 2012

[5] The robustness of generalized abstract fuzzy economies in generalized convex spaces [J].

Wang, Lei ;

Cho, Yeol Je ;

Huang, Nan-jing .

FUZZY SETS AND SYSTEMS, 2011, 176 (01) :56-63

[6] On the stability of the solution for multiobjective generalized games with the payoffs perturbed [J].

Song, Q. Q. ;

Wang, L. S. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (08) :2680-2685

[7] Structural stability and robustness to bounded rationality for non-compact cases [J].

Yu, Jian ;

Yang, Hui ;

Yu, Chao .

JOURNAL OF GLOBAL OPTIMIZATION, 2009, 44 (01) :149-157

[8]

Bounded rationality in multiobjective games[J] . Chao Yu,Jian Yu.Nonlinear Analysis . 2006 (3)

[9]

Well-posed Ky Fan’s point, quasi-variational inequality and Nash equilibrium problems[J] . Jian Yu,Hui Yang,Chao Yu.Nonlinear Analysis . 2006 (4)

[10]

On structural stability and robustness to bounded rationality[J] . Chao Yu,Jian Yu.Nonlinear Analysis . 2005 (3)

← 1 2 →