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Random Consumer Demand

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  • WILLIAM J. McCAUSLAND

Abstract

I present a theory of random consumer demand. The primitive is a collection of probability distributions on budgets. Axioms constrain these distributions, including analogues of preference axioms, such as transitivity, monotonicity and convexity. Results establish a complete representation of theoretically consistent demand. The theory's purpose is empirical application. To this end, the theory has desirable properties. Intrinsically stochastic, econometricians can apply it without adding extrinsic randomness in the form of errors. Random demand is parsimoniously represented by a single function on the consumption set. Finally, there exist practical methods for inference based on the theory, described in a companion paper. Copyright (c) The London School of Economics and Political Science 2008.

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Bibliographic Info

Article provided by London School of Economics and Political Science in its journal Economica.

Volume (Year): 76 (2009)
Issue (Month): 301 (02)
Pages: 89-107

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Handle: RePEc:bla:econom:v:76:y:2009:i:301:p:89-107

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  1. McCAUSLAND, William J., 2004. "A Theory of Random Consumer Demand," Cahiers de recherche 08-2004, Centre interuniversitaire de recherche en ├ęconomie quantitative, CIREQ.
  2. Bandyopadhyay, Taradas & Dasgupta, Indraneel & Pattanaik, Prasanta K., 1999. "Stochastic Revealed Preference and the Theory of Demand," Journal of Economic Theory, Elsevier, vol. 84(1), pages 95-110, January.
  3. Varian, Hal R., 1990. "Goodness-of-fit in optimizing models," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 125-140.
  4. Bandyopadhyay, Taradas & Bandyopadhyay, Bandyopadhyay & Pattanaik, Prasanta K., 2002. "Demand Aggregation and the Weak Axiom of Stochastic Revealed Preference," Journal of Economic Theory, Elsevier, vol. 107(2), pages 483-489, December.
  5. Taradas Bandyopadhyay & Indraneel Dasgupta & Prasanta Pattanaik, 2004. "A general revealed preference theorem for stochastic demand behavior," Economic Theory, Springer, vol. 23(3), pages 589-599, March.
  6. Barbera, Salvador & Pattanaik, Prasanta K, 1986. "Falmagne and the Rationalizability of Stochastic Choices in Terms of Random Orderings," Econometrica, Econometric Society, vol. 54(3), pages 707-15, May.
  7. Kannai, Yakar, 1974. "Approximation of convex preferences," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 101-106, August.
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Cited by:
  1. Dasgupta Indraneel & Pattanaik P. K, 2010. "Revealed Preference with Stochastic Demand Correspondence," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-21, August.
  2. Dasgupta, Indraneel, 2009. "Contraction Consistent Stochastic Choice Correspondence," IZA Discussion Papers 4596, Institute for the Study of Labor (IZA).
  3. Per Hjertstrand & James Swofford, 2014. "Are the choices of people stochastically rational? A stochastic test of the number of revealed preference violations," Empirical Economics, Springer, vol. 46(4), pages 1495-1519, June.

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