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

This paper aims at bringing out the determinants of the significant poverty alleviation observed in Cameroon between 1993 and 2001. It focuses on the decomposition of poverty and growth changes, in order to assess the intrinsic contribution of each major economic policy implemented in Cameroon...

A brief survey of the publications in mathematical economics, dealing with utility theory, probabilistic microeconomic models, and equilibrium under price rigidities, is given.

I study connected manifolds and prove that a proper map f: M - M is globally invertible when it has a nonvanishing Jacobian and the fundamental group pi (M) is finite. This includes finite and infinite dimensional manifolds. Reciprocally, if pi (M) is infinite, there exist locally invertible...

This paper gives a proof of the existence of general equilibrium without the use of a fixed point theorem. Unlike other results of this type, the conditions we use do not imply that the set of equilibrium prices is convex. We use an assumption on the excess demand correspondence that is related...

In this paper we introduce basic notions of new economic model where preference relations on commodities set are represented by a group action on Euclidean space instead of utility function. Conditions that ensure the existence of individual demand functions and a general equilibrium in the...

A survey of the results relating to the application of gross substitutability in economic equilibrium theory. The topics considered include existence and uniqueness of equilibrium, comparative statics, coalition stability, and stability of price-adjustment tatonnement processes. The main...

The formation of the European Union (EU) is the one of the biggest political – economic events of the last 50 years. The aim of this study is to develop EU economy functioning system dynamic model. Main research method is system dynamics. General scheme of EU economy system dynamic model is...

For several decades, the international community has aspired to integrate the social, economic and environmental dimensions of sustainability. Yet, no country has achieved the patterns of consumption and production that could sustain global prosperity in the coming decades. Thus, with the...

This paper deals with an extension of the concept of correlated strategies to Markov stopping games. The idea of this paper was presented at Game Theory and Mathematical Economics, International Conference in Memory of Jerzy Łoś (1920 - 1998), Warsaw, September 2004. The Nash equilibrium...