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We show that all the fundamental properties of competitive equilibrium in Marshall’s cardinal 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. That is, existence, uniqueness, optimality, and global stability of equilibrium prices with respect to tatonnement price adjustment follow from the cyclical monotonicity of the market demand function in the Marshallian general equilibrium model.
Brown, Donald J. and Calsamiglia, Caterina, "Alfred Marshall's Cardinal Theory of Value: The Strong Law of Demand" (2007). Cowles Foundation Discussion Papers. 1912.