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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/307903 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562274500345856 |
|---|---|
| author | W. C. Shuai K. L. Xiang W. Y. Zhang |
| author_facet | W. C. Shuai K. L. Xiang W. Y. Zhang |
| author_sort | W. C. Shuai |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-826aff4a59f84edcb67924171fdbadda |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-826aff4a59f84edcb67924171fdbadda2025-02-03T01:23:04ZengWileyAbstract 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 |
| spellingShingle | W. C. Shuai K. L. Xiang W. Y. Zhang Constrained Weak Nash-Type Equilibrium Problems Abstract and Applied Analysis |
| title | 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_short | Constrained Weak Nash-Type Equilibrium Problems |
| title_sort | constrained weak nash type equilibrium problems |
| url | http://dx.doi.org/10.1155/2014/307903 |
| work_keys_str_mv | AT wcshuai constrainedweaknashtypeequilibriumproblems AT klxiang constrainedweaknashtypeequilibriumproblems AT wyzhang constrainedweaknashtypeequilibriumproblems |