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 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...

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.

Our concern in this work is to obtain conditions for the uniqueness of equilibria, with commodity bundles as consumption patterns which depend on the state of the world.

The aim of this paper is to characterise the set of non regular economies, when there is a finite number of consumers with either finite or infinitely many goods. We prove that the structure of the equilibrium set is the same in both cases and that there exist bifurcations in some of these models.

The aim of this paper if to characterize the set of singular economies, when there are a finite set of consumers with infinitely many goods in the sense that goods differ in the time which they are consumed or in the state of the world in which they become available. There exist l available...