Título: The equilibrium set of infinite dimensional Walrasian economies and the natural projection
Expositor: Elvio Accinelli (Universidad Autónoma de San Luis Potosí)
Abstract: The natural projection plays a fundamental role to understand the behavior of the Walrasian economies. In this paper we extend this method to analyze the behavior of infinite dimensional economies. We introduce the definition of the social equilibrium set, and we show that there exists a bijection between this set and the Walrasian equilibria set of an infinite dimensional economy. In order to describe the main topological characteristics of both sets, we analyze the main differential characteristics of the excess utility function and then, we extend the method of the natural projection as suggested by Y. Balasko