ECONOMIC GROWTH CENTER YALE UNIVERSITY P.O. Box 208269 27 Hillhouse Avenue New Haven, CT 06520-8269 CENTER DISCUSSION PAPER NO. 782 THREE LECTURES ON THE WALRASIAN HYPOTHESES FOR EXCHANGE ECONOMIES Donald J.Brown Yale University August 1997 Note: Center Discussion Papers are preliminary materials circulated to stimulate discussions and critical comments. This is a revised version of the paper originally written in August 1996. Three Lectures on The Walrasian Hypotheses for Exchange Economies* by Donald J. Brown Abstract This paper discusses the testable implications of the Walrasian hypotheses: H1 Observed market demand is the sum of consumer's demands derived from utility maximization subject to budget constraints. H2 There exists an observable (locally) unique equilibrium price system such that the observable market demand is equal to the observable market supply in every market. H3 The observed equilibrium price system is a (locally) stable equilibrium of tƒtonnement price adjustment. The main results are the Brown Matzkin Theorem: H1 is testable, and the Brown Shannon Theorem: H2 and H3 are not testable. Keywords: Exchange Economies, Testable Restrictions. *The author wishes to thank the Institute Veneto di Scienze, Lettere ed Arti, Venezia for the opportunity to present his current research on the Walrasian model at the Conference on General Equilibrium Theory in Venice, June 1997. I am also pleased to acknowledge the warm hospitality of the conference organizers Yves Balasko and Piero Gottardi. Finally, let me express my appreciation to G. Ames, T. Keister, and E. Minelli for their editorial assistance in preparing these lectures notes. The comments of T. N. Srinivasan are also appreciated.