COWLES FOUNDATION FOR RESEARCH IN ECONOMICS
AT YALE UNIVERSITY

Box 208281
New Haven, CT 06520-8281

Lux et veritas

COWLES FOUNDATION DISCUSSION PAPER NO. 1615

Marshall's Theory of Value and the Strong Law of Demand

Donald J. Brown and Caterina Calsamiglia

July 2007

We show that all the fundamental properties of competitive equilibrium in Marshall's theory of value, as presented in Note XXI of the mathematical appendix to his Principles of Economics (1890), derive from the Strong Law of Demand. This is, existence, uniqueness, optimality, global stability of equilibrium prices with respect to tantonnement price adjustment and refutability follow from the cyclical monotonicity of the market demand function in the Marshallian general equilibrium model.

Keywords: Partial equilibrium analysis, Short run equilibrium, Strong law of demand, Cyclical monotonicity, Legendre-Frenchel duality

JEL Classification: B13, C62, D11, D51