Summary.
It is shown that the property that the equilibrium manifold keeps the memory of the individual demand functions holds true if every individual demand function satisfies the following three properties: 1) It is a function of commodity prices and of consumer’s income; 2) Consumption belongs to the nonnegative orthant of the commodity space; 3) Walras law. Neither differentiability nor continuity are necessary. In addition, the demand functions do not have to be utility maximizing subject to budget constraints.
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Received: 2 September 2003, Revised: 26 January 2004,
JEL Classification Numbers:
D50, D51.
A preliminary version of this paper was released in October 1999 under the title “Deriving individual demand functions from the equilibrium manifold.” I wish to thank an anonymous referee for thoughtful comments.
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Balasko, Y. The equilibrium manifold keeps the memory of individual demand functions. Economic Theory 24, 493–501 (2004). https://doi.org/10.1007/s00199-004-0473-9
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DOI: https://doi.org/10.1007/s00199-004-0473-9