Depuis l'article de Guesnerie (1975), de nombreuses recherches ont ete faites dans le cadre de la theorie de l'equilibre general en economie lorsque le secteur productif presente des rendements croissants ou plus generalement des ensembles de production non convexes. Dans cet article, nous nous...

We give a simple example to the non-existence of duopoly equilibrium in pure strategies in an economy with two goods and two types of consumers.

The purpose of this paper is to study how the equilibrium prices and allocations in a linear exchange economy vary with respect to the intial endowments and utility vectors. We characterize an open dense subject of full measure of the initial endowment and utility vector space on which the...

This paper explores the consequences of non-additive expected utility on risk-sharing and equilibrium in a general equilibrium set-up. We establish that convexity of an agent's preferences (or strong uncertainty aversion) is equivalent to the convexity of his capacity and concavity of his...

We show, in the Choquet expected utility model, that prefernece for diversification, that is, convex prefrences, is equivalent to a concave utility index and a convex capacity. We then introduce a weaker notion of diversification, namely "sure diversification". We show that this implies that the...

A usual argument in finance refers to no arbitrage opportunities for the positivity of the bid-ask spread. Here we follow the decision theory approach and show that if positivity of the bid-ask spread is identified with strong risk aversion for an expended utility market-marker, this is no...

Cumulative prospect theory was introduced by Tversky and Kahneman to combine the empirical realism of their original prospect theory with the theoretical advantages of rank-dependent utility. Preference axiomatizations were provided in several papers. All exosting axiomatizations, however, only...

In a previous paper, Abouda and Chateauneuf proved that for RDEU maximizing MM with non-increasing marginal utility, positivity of the bid-ask spread can be identified with a very weak form of risk aversion SMRA. We perform here a more thorough study of SMRA, firstly in a general setting, and...

In an exchange economy with no aggregate uncertainty, and Bayesian agents, Pareto optimal allocations provide full insurance if and only if the agents have a common prior. It is hard to explain why there is relatively so little betting taking place. One is led to ask, when are full insurance...