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Existence of an equilibrium for a competitive economy

Mathematical EconomicsPublished 2 December 2008
Kenneth J. Arrow, Gérard Debreu, Gérard Debreu, Werner Hildenbrand
Citations3,093

Abstract

A. Wald has presented a model of production and a model of exchange and proofs of the existence of an equilibrium for each of them. Here proofs of the existence of an equilibrium are given for an integrated model of production, exchange and consumption. In addition the assumptions made on the technologies of producers and the tastes of consumers are significantly weaker than Wald's. Finally a simplification of the structure of the proofs has been made possible through use of the concept of an abstract economy, a generalization of that of a game.

Keywords

Decision SciencesEconomics, Econometrics and Finance