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 equilibrium in our approach we don't suppose the existence of a demand function. Finally, we obtain a condition for the...

A stumbling block in the modeling of competitive markets with commodity and price spaces of infinite dimensions, arises from having positive cones with an empty interior. This issue precludes the use of tools of differential analysis, ranging from the definition of a derivative, to the use of...

In this work, we attempt to characterize the main theoretical difficulties to prove the existence of competitive equilibrium in infinite dimensional models. We shall show cases in which it is not possible to prove the existence of equilibrium and some others in which, however the existence of...

In this paper we attempt to show that, however being little from a topological point of view, the set of singular economies plays a considerable role in the development of the economies.