Constrained Weak Nash-Type Equilibrium Problems

Constrained Weak Nash-Type Equilibrium Problems

A constrained weak Nash-type equilibrium problem with multivalued payoff functions is introduced. By virtue of a nonlinear scalarization function, some existence results are established. The results extend the corresponding one of Fu (2003). In particular, if the payoff functions are singlevalued, o...

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Main Authors: W. C. Shuai, K. L. Xiang, W. Y. Zhang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/307903
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spelling doaj-826aff4a59f84edcb67924171fdbadda2020-11-24T20:53:52ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/307903307903Constrained Weak Nash-Type Equilibrium ProblemsW. C. Shuai0K. L. Xiang1W. Y. Zhang2Department of Mathematics, Sichuan University for Nationalities, Kangding 626000, ChinaDepartment of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu 610000, ChinaDepartment of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu 610000, ChinaA constrained weak Nash-type equilibrium problem with multivalued payoff functions is introduced. By virtue of a nonlinear scalarization function, some existence results are established. The results extend the corresponding one of Fu (2003). In particular, if the payoff functions are singlevalued, our existence theorem extends the main results of Fu (2003) by relaxing the assumption of convexity.http://dx.doi.org/10.1155/2014/307903
collection DOAJ
language English
format Article
sources DOAJ
author W. C. Shuai
K. L. Xiang
W. Y. Zhang
spellingShingle W. C. Shuai
K. L. Xiang
W. Y. Zhang
Constrained Weak Nash-Type Equilibrium Problems
Abstract and Applied Analysis
author_facet W. C. Shuai
K. L. Xiang
W. Y. Zhang
author_sort W. C. Shuai
title Constrained Weak Nash-Type Equilibrium Problems
title_short Constrained Weak Nash-Type Equilibrium Problems
title_full Constrained Weak Nash-Type Equilibrium Problems
title_fullStr Constrained Weak Nash-Type Equilibrium Problems
title_full_unstemmed Constrained Weak Nash-Type Equilibrium Problems
title_sort constrained weak nash-type equilibrium problems
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description A constrained weak Nash-type equilibrium problem with multivalued payoff functions is introduced. By virtue of a nonlinear scalarization function, some existence results are established. The results extend the corresponding one of Fu (2003). In particular, if the payoff functions are singlevalued, our existence theorem extends the main results of Fu (2003) by relaxing the assumption of convexity.
url http://dx.doi.org/10.1155/2014/307903
work_keys_str_mv AT wcshuai constrainedweaknashtypeequilibriumproblems
AT klxiang constrainedweaknashtypeequilibriumproblems
AT wyzhang constrainedweaknashtypeequilibriumproblems
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