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
Non-compact Pareto Equilibria for Multiobjective Games
โ Scribed by Xian-Zhi Yuan; Enayet Tarafdar
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 132 KB
- Volume
- 204
- Category
- Article
- ISSN
- 0022-247X
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โฆ Synopsis
In this paper, we study the existence of weighted Nash-equilibria and Pareto equilibria for non-compact multiobjective games with multicriteria as applications of the Ky Fan minimax principle in 1972. As results, several existence theorems for non-compact weighted Nash-equilibria and Pareto equilibria are established. These include the corresponding results in recent literature as special cases.
๐ SIMILAR VOLUMES
In this paper, it is shown that the structure of the set of Pareto equilibria for & bimatrix game resembles the structure of the set of (perfect) Nash equilibria. Msxim~ Pareto sulmets are introduced to take over the role of maximal Nash subsets. It is found that the set of Pareto equlh'brh is the f