In this paper we show that in a pure exchange economy it is possible to improve the social welfare along an e±cient path. This path will be called the Negishi map. Moving the relative weights of the agent in a social welfare utility function, we obtain an e±cient path of allocations and social...

This paper provides an analysis of solutions to bankruptcy problems from an axiomatic point of view. In particular, we provide characterizations of certain classes of solutions involving the properties of linearity, symmetry and efficiency. Furthermore, we show that there is a unique solution...

General Equilibrium Theory (GE) scrutinizes the ability of markets to achieve efficient allocation of resources. The main purpose of this work is, in the framework to the GE to analyze, the possibility of design a mechanism enabling agents to make independent decisions compatible with social...

In this paper we show the strong relation existing between efficiency and social welfare. We introduce the concept of Negishi path, a differentiable manifold, that show the relation existing between distributions of social weights and efficient allocation. We show that it is possible to as- sign...

The object of this paper is to show some examples of economies in which singular equilibria occur as a consequence of utility functions and where this equilibria play a crucial rolle to understand the behavior of the economy as a system. An economy will be called singular if little changes in...

The aim of this paper is 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...

In this paper we analyze, from the Negishi approach the concepts of structurally stable and structurally unstable economies on Banach's spaces. With this purpose we formalize the intuitive concept of similar economies. We show that in certain cases similar (or neighboring) economies can show no...

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...

In this paper we analyze, from the Negishi approach the concepts of structurally stable and structurally unstable economies on Banach's spaces. With this purpose we formalize the intuitive concept of similar economies. We show that in certain cases similar (or neighboring) economies can show no...