In this paper, a new noncooperative multiobjective constrained game is presented as a generalization of a multiobjective constrained game in finite-dimensional space. By using new continuity and convexity, the existence of a solution of this mulitobjective constrained game is obtained.
Existence of Pareto equilibria for constrained multiobjective games in H-space
β Scribed by Xie Ping Ding
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 806 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
In this paper,.we introduce and study a new class of constrained multiobjective games in H-spaces without linear structure. An existence theorem of solutions for quasi-equilibrium problems is first proved in noncompact H-spaces. Then, as applications of the quasi-equilibrium existence theorem, several existence theorems of weighted Nash-equilibria and Pareto equilibria for the constrained multiobjective games are established in noncompact H-spaces. These theorems improve, unify, and generalize the corresponding results of the multiobjective games in recent literature.
π SIMILAR VOLUMES
In this paper, we introduce and study a new class of generalized constrained multiobjective games in locally FC-spaces without convexity structure where the number of players may be finite or infinite and all payoff functions get their values in an infinite-dimensional space. By using a Himmelberg t
In Keywords-Locally L-convex space, Collectively fixed point, System of quasi-equilibrium problems, Constrained multiobjective game, Pareto equilibria.
ln this paper, we present two ways to study the existence of weight Nash-equilibria and Pareto equilibria for multiobjective games. One is the 'fixed-point method' which is well known; and the second is the application of 'Ky Fan minimax inequality', which is not often used in the study of optimizat