Existence and Uniqueness of the Competitive Equilibrium for Infinite Dimensional Economies

In this paper, from the excess utility function we obtain a binary relation in the social weights space and then, for an infinite dimensional economy, we prove the existence of equi-librium, in our approach we don’t suppose the existence of a demand function. Finally, we obtain a condition for the uniqueness of equilibrium, and we give some examples of economies that satisfy this condition