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...

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...