The Strong Law of Demand
AbstractWe show that a demand function is derived from maximizing a quasilinear utility function subject to a budget constraint if and only if the demand function is cyclically monotone. On finite data sets consisting of pairs of market prices and consumption vectors, this result is equivalent to a solution of the Afriat inequalities where all the marginal utilities of income are equal. We explore the implications of these results for maximization of a random quasilinear utility function subject to a budget constraint and for representative agent general equilibrium models. The duality theory for cyclically monotone demand is developed using the Legendre-Fenchel transform. In this setting, a consumer's surplus is measured by the conjugate of her utility function.
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Bibliographic InfoPaper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 1399.
Length: 12 pages
Date of creation: Feb 2003
Date of revision:
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Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA
Other versions of this item:
- D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
- D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
- D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
This paper has been announced in the following NEP Reports:
- NEP-ALL-2003-02-24 (All new papers)
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- Daniel Friedman (University of California at Santa Cruz) József Sákovics (The University of Edinburgh), 2014. "Tractable Consumer Choice," ESE Discussion Papers 240, Edinburgh School of Economics, University of Edinburgh.
- Donald J. Brown & Caterina Calsamiglia, 2003. "Rationalizing and Curve-Fitting Demand Data with Quasilinear Utilities," Cowles Foundation Discussion Papers 1399R, Cowles Foundation for Research in Economics, Yale University, revised Jul 2004.
- John Geanakoplos, 2013. "Afriat from MaxMin," Cowles Foundation Discussion Papers 1904, Cowles Foundation for Research in Economics, Yale University.
- Donald J. Brown & Ravi Kannan, 2003. "Indeterminacy, Nonparametric Calibration and Counterfactual Equilibria," Cowles Foundation Discussion Papers 1426, Cowles Foundation for Research in Economics, Yale University.
- John Geanakoplos, 2013. "Afriat from MaxMin," Levine's Working Paper Archive 786969000000000746, David K. Levine.
- John Geanakoplos, 2013. "Afriat from MaxMin," Economic Theory, Springer, vol. 54(3), pages 443-448, November.
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