Equilibria of Free Abstract Fuzzy Economies
نویسنده
چکیده
In this paper, we introduce the concept of free abstract fuzzy economy and, using Wu’s existence theorem of maximal elements for lower semicontinuous correspondences [26] and Kim and Lee’s existence theorems of best proximity pairs [14], we prove the existence of fuzzy equilibrium pairs for free abstract fuzzy economies first with upper semicontinuous and then with lower semicontinuous constraint correspondences and Qθ− majorized preference correspondences.
منابع مشابه
Fuzzy Vector Equilibrium Problem
In the present paper, we introduce and study a fuzzy vector equilibrium problem and prove some existence results with and without convexity assumptions by using some particular forms of results of textit{Kim} and textit{Lee} [W.K. Kim and K.H. Lee, Generalized fuzzy games and fuzzy equilibria, Fuzzy Sets and Systems, 122 (2001), 293-301] and textit{Tarafdar} [E. Tarafdar, Fixed point theorems i...
متن کاملEdgeworth and Walras equilibria of an arbitrage-free exchange economy
In this paper, we first give a direct proof of the existence of Edgeworth equilibria for exchange economies with (possibly) unbounded below consumption sets. The key assumption is that the individually rational utility set is compact. It is worth noticing that the statement of this result and its proof do not depend on the dimension or the particular structure of the commodity space. In a secon...
متن کاملExistence of Equilibria for Generalized Abstract Economies and System of Quasi-Minimax Inequalities
In this paper, we consider a more general form of generalized abstract economy with a fuzzy constraint correspondence studied in [15, 17]. We establish some existence results for an equilibrium of our generalized abstract economy. We also consider a system of quasi-minimax inequalities and note that it is a unified model of several problems. As applications of our equilibrium existence results,...
متن کاملRational Expectations Equilibria in Dynamic Economies with Interacting Agents
We consider general economies in which rational agents interact locally. The local aspect of the interactions is designed to capture in a simple abstract way social interactions, that is, socio-economic environments in which markets do not mediate all of agents’ choices, and each agent’s choice might be in part determined, for instance, by family, peer group, or ethnic group effects. We study s...
متن کاملFinancial Economics I Lecture Notes on : Competitive Markets for Insurance
Do competitive insurance markets function orderly in the presence of moral hazard and adverse selection? What are the properties of allocations attainable as competitive equilibria of such economies? And in particular, are competitive equilibria incentive efficient? The fundamental contribution on competitive markets for insurance contracts is Prescott and Townsend (1984). They analyze Walrasia...
متن کامل