This article reconsiders the theory of existence of efficient allocations and equilibria when consumption sets are unbounded below under the assumption that agents have incomplete preferences. It is motivated by an example in the theory of assets with short-selling where there is risk and...

In the development of the general equilibrium theories, Hicks and Allais played an essential role. We are studying here the contributions which were theirs respectively in Value and Capital (1939) and in the Traité d?économie pure (1943). The accent is put on three points: the theory of...

We consider a pure exchange overlapping generations economy with finitely many commodities and consumers per period having possibly non-complete non transitive preferences. We provide a geometric and direct proof of the Balasko-Shell characterization of Pareto optimal allocation. To avoid some...

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...

This paper establishes, in the setting of Brownian information, a general equilibrium existence result in a heterogeneous agent economy. The existence is generic among income distributions. Agents differ moreover in their stochastic differential formulation of intertemporal recursive utility....

We consider a standard overlapping generation economy with a simple demographic structure with a new cohort of agents at each period with an economic activity extended over two successive periods and finitely many firms active forever. The production possibilities are described by a sequence of...

This paper analyzes the problem of selecting a set of items whose prices are to be updated in the next iteration in so called simple ascending auctions with unit-demand bidders. A family of sets called "sets in excess demand" is introduced, and the main results demonstrate that a simple...

We study economies where all commodities are indivisible at the individual level, but perfectly divisible at the aggregate level. Paper (fiat) money which does not influence agents preferences may be used to facilitate exchange. In a parallel paper (Florig and Rivera (2002), we introduced a...

In this paper we consider a class of pure exchange economies in which the consumption plans may be restricted to be above a minimal level. This class is parameterised by the initial endowments and the constraints on the consumption. We show that the demand functions are locally Lipschitzian and...

Dans le développement des théories de l’équilibre général, Hicks et Allais ont joué un rôle essentiel. On étudie ici les contributions qui furent les leurs respectivement dans Valeur et Capital (1939) et dans le Traité d’économie pure (1943). L’accent est mis sur trois points :...