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...

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...

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...

Our concern in this work is to obtain conditions for the uniqueness of equilibria, with commodity bundles as consumption patterns which depend on the state of the world. In the first section we consider an economy with complete markets, where consumption spaces are a finite product of measurable...

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 Pareto optimal concept does not concern with fairness or equality, it is a concept related to efficiency. In this paper, using techniques from the general equilibrium theory, we relate efficiency, fairness and stability of an economy.

In this paper, from the excess utility function we obtain a binary relation in the social weights space and then, for an infinite dimensional economy, we prove the existence of equilibrium, in our approach we don’t suppose the existence of a demand function. Finally, we obtain a condition for...

The main objective of this paper is to show that when countries conforming a block that makes what some specialists have called: regionalism or integration -- having between them big asymmetries -- the policy to threat to leave the block can be a very efficient policy for those countries more...

In this work we obtain new conditions to uniqueness of Nash equilibrium in the Cournot oligopoly model. These conditions assure that the reaction functions are contractions and they are not reduced to the obtained ones by Rosen, inasmuch as they do not demand the strict concavity of the bene¯t...

In this paper we consider economies whose consumption spaces are subsets of a Hilbert space with non-empty interior, and we introduce the Negishi approach to characterize the social equilibria of these economies. Using Morse's lemma, we analyze the main characteristics of two-agents-economies,...