Equilibria in reflexive Banach lattices with a continuum of agents

We consider exchange economies with a measure space of agents and for which the commodity space is a separable and reflexive Banach lattice. Under assumptions imposing uniform bounds on marginal rates of substitution, positive results on core-Walras equivalence were established in Rustichini-Yannelis [27] and Podczeck [25]. In this paper we prove that under similar assumptions on marginal rates of substitution, the set of competitive equilibria (and thus the core) is non-empty. Copyright Springer-Verlag Berlin/Heidelberg 2004Competitive equilibria, Continuum of agents, Reflexive Banach lattice commodity spaces, Uniform properness.,