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

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...

For economies with infinitely many goods, with two different approaches we obtain sufficient conditions for uniqueness of competitive equilibrium. In the second approach we prove that the Mitjushim-Polterovich conditions is a sufficient condition for uniqueness of equilibrium when the...

In this paper, we consider a society composed of citizens grouped in different economic strata based on income, who must pay taxes, but there are incentives to do so, and a set of public officials (auditors), whose function is to monitor compliance with the tax rules among citizens. We assume...

In this work the evolutionary dynamics of migratory behavior driven by imitation is studied. We show that, any migratory flow, driven by the imitation, can be modeled by a dynamic system, once the rules governing imitative behavior of the population, are established. The parameters...

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...