This work extends the Sard-Smale Theorem to maps between convex subsets of Banach spaces that may have an empty interior.

This paper provides an extended framework to study general equilibrium theory with commodity spaces possibly of infinite dimensions. Our approach overcomes some difficulties found in the literature since it allows the study of the equilibrium when consumption sets may have an empty interior. It...

In this short paper we analyze the impact of tourist demand in hotel rooms on the investment of hotels on environmental quality. We show that when income of the tourists increases, then to maintain the demand for rooms, the hotels must in-crease the investment on the environmental quality of the...

This paper models the dynamic of a sector where firms imitate the technology of leading firms. While it would seem natural to expect that managers will aim at producing with the technology that produces the highest benefits, if many other managers also follow this behavior, the market structure...

A stumbling block in the modelling 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...

Las restricciones impuestas por organismos reguladores al diseño de carteras de administradoras de fondos de retiro, pretenden orientar el comportamiento de las administradoras, no obstante estas restricciones conllevan pérdida de bienestar por parte de los ahorristas. En el presente trabajo...

The aim of this paper is to relate the General Equilibrium Theory and modern Finance Theory. We work with an infinite dimensional economy with a market for goods an actives, and where the number of agents is finite. Each agent has an intertemporal utility function with uncertainty on the states...

In this paper we model tourism development in the framework of multi- population dynamics and analyze the time pattern of its impact as the evolution of the interaction between two populations feeding over the same space-resource. Each population might be structured in two (or more) ?clubs? with...

We consider a pure exchange economy, where agent's consumption spaces are Banach spaces, goods are contingent in time of states of the world, the utility function of each agent is not necessarily a separable function, but increasing, quasiconcave, and twice Frechet differentiable over the...