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On the Foundations of the Theory of Monopolistic Competition
John Roberts and Hugo Sonnenschein
Vol. 45, No. 1 (Jan., 1977), pp. 101-112
Published by: The Econometric Society
Stable URL: http://www.jstor.org/stable/1913289
Page Count: 13
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Available theorems establishing the existence of general equilibrium in models incorporating imperfectly competitive firms rely on the assumption that reaction curves are continuous functions (or convex-valued, upper hemi-continuous correspondences). However, this property has not been derived from conditions on the fundamental data of tastes, technology, and maximizing behavior. We show here that continuity may fail even in extremely simple cases, with the result that equilibrium price and/or quantity choices fail to exist. The non-pathological nature of the examples we present suggests the need for a fundamental re-examination of the way our partial and general equilibrium models of monopolistic competition fit together.
Econometrica © 1977 The Econometric Society