In this paper, we introduce and study a new class of generalized abstract fuzzy economies. We prove some new existence theorems of equilibrium and maximal element for generalized abstract fuzzy economies with uncountable number of agents and qualitative fuzzy games, respectively.
A new equilibrium existence theorem for abstract fuzzy economies
β Scribed by Nan-Jing Huang
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 294 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
β¦ Synopsis
In this paper, we show a new equilibrium existence theorem for abstract fuzzy economies with uncountable number of agents with fuzzy constraint correspondences and fuzzy preference correspondence, and give a new existence theorem of maximal element for qualitative fuzzy games with uncountable number of players with fuzzy preference correspondence. (~) 1999 Elsevier Science Ltd. All rights reserved.
π SIMILAR VOLUMES
In this paper, we prove an intersection theorem for an infinite family of correspondences defined on non-compact spaces, and apply this result to give a new generalization of the Yannelis-Prabhakar existence theorem for equilibrium of abstract economies.
In this paper, we prove some new equilibrium existence theorems for noncompact abstract economies with an uncountable number of agents.
In this paper, two new existence theorems of maximal elements for H-majorized correspondences are established in a kind of nonparacompact H-spaces. As applications, the existence problems of equilibrium for abstract economies are studied. Our theorems improve and generalize some recent results in th