Walras and dividends equilibrium with possibly satiated consumers

Nizar Allouch (1) , Cuong Le Van (2)

1 QMUL - Queen Mary University of London
2 CES - Centre d'économie de la Sorbonne

The main contribution of the paper is to provide a weaker non-satiation assumption than the one commonly used in the literature to ensure the existence of competitive equilibrium. Our assumption allows for satiation points inside the set of individually feasible consumptions, provided that the consumer has satiation points available to him outside this set. As a result, we show the concept of equilibrium with dividends (See Aumann and Dreze (1986), Mas-Collel (1992)) is pertinent only when the set of satiation points is included in the set of individually feasible consumptions. Our economic motivation stems from the fact that in decentralized markets, increasing the incomes of consumers through dividends, if it is possible, is costly since it involves the intervention of a social planner. Then, we show, in particular, howin securities markets our weak nonsatiation assumption is satisfied byWerner's (1987) assumption.

Mots clés: Satiation; Dividends; Equilibrium; Exchange Economy; Short-selling

Domaines: Economies et finances; Analyse classique [math.CA]; Optimisation et contrôle [math.OC]

Nizar Allouch, Cuong Le Van. Walras and dividends equilibrium with possibly satiated consumers. Journal of Mathematical Economics, 2008, 44 (9-10), pp.907-918. ⟨10.1016/j.jmateco.2006.09.005⟩. ⟨halshs-00101189v2⟩