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Demand Dispersion, Metonymy and Ideal Panel Data

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  • Michael Jerison

Abstract

In a generic competitive economy with constant returns production and "increasing dispersion," market demand satisfies the weak axiom of revealed preference and equilibrium is unique. Increasing dispersion requires, roughly, that when the households' incomes rise slightly their demand vectors move apart. We show how to test for it using panel data with fixed relative prices under a "structural stability" hypothesis due to Hildenbrand and Kneip (1999). We also show how to test for it using cross section data if the households' demand functions and incomes are independently distributed, or under a much weaker condition called "dispersion metonymy." We show that this weaker condition is untestable---even with ideal panel data that allow a direct test of increasing dispersion. Thus, cross section tests of increasing dispersion rely on an assumption that is not potentially falsifiable.

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File URL: http://www.albany.edu/economics/research/workingp/2001/panel.pdf
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Bibliographic Info

Paper provided by University at Albany, SUNY, Department of Economics in its series Discussion Papers with number 01-11.

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Date of creation: 2001
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Handle: RePEc:nya:albaec:01-11

Contact details of provider:
Postal: Department of Economics, BA 110 University at Albany State University of New York Albany, NY 12222 U.S.A.
Phone: (518) 442-4735
Fax: (518) 442-4736

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Postal: Department of Economics, BA 110 University at Albany State University of New York Albany, NY 12222 U.S.A.
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Web: http://www.albany.edu/economics/research/workingp/index.shtml

Related research

Keywords: Aggregation; Weak Axiom; Increasing Dispersion; Cross Section; Structural Stability;

References

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  1. repec:wop:snyaec:97-04 is not listed on IDEAS
  2. EVSTIGNEEV, Igor V. & HILDENBRAND, Werner & JERISON, Michael, 1996. "Metonymy and Cross Section Demand," CORE Discussion Papers 1996046, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. P. A. Chiappori & I. Ekeland, 1999. "Aggregation and Market Demand: An Exterior Differential Calculus Viewpoint," Econometrica, Econometric Society, vol. 67(6), pages 1435-1458, November.
  4. John Quah, 1999. "The Weak Axiom and Comparative Statics," Economics Series Working Papers 1999-W15, University of Oxford, Department of Economics.
  5. Jerison, Michael, 1999. "Dispersed excess demands, the weak axiom and uniqueness of equilibrium," Journal of Mathematical Economics, Elsevier, vol. 31(1), pages 15-48, February.
  6. Hildenbrand, Werner & Kneip, Alois, 1993. "Family expenditure data, heteroscedasticity and the Law of Demand," Ricerche Economiche, Elsevier, vol. 47(2), pages 137-165, June.
  7. Kihlstrom, Richard E & Mas-Colell, Andreu & Sonnenschein, Hugo, 1976. "The Demand Theory of the Weak Axiom of Revealed Preference," Econometrica, Econometric Society, vol. 44(5), pages 971-78, September.
  8. Kneip, Alois, 1999. "Behavioral heterogeneity and structural properties of aggregate demand," Journal of Mathematical Economics, Elsevier, vol. 31(1), pages 49-79, February.
  9. Mattei, Aurelio, 2000. "Full-scale real tests of consumer behavior using experimental data," Journal of Economic Behavior & Organization, Elsevier, vol. 43(4), pages 487-497, December.
  10. Michael Jerison & David Jerison, 1991. "Approximately Rational Consumer Demand," Discussion Papers 92-02, University at Albany, SUNY, Department of Economics.
  11. John K.-H. Quah, 2000. "The Monotonicity of Individual and Market Demand," Econometrica, Econometric Society, vol. 68(4), pages 911-930, July.
  12. Hildenbrand, W. & Kneip, A., 1999. "Demand aggregation under structural stability," Journal of Mathematical Economics, Elsevier, vol. 31(1), pages 81-109, February.
  13. Chiappori, Pierre-André & Ekeland, Ivar, 1999. "Aggregation and Market Demand: An Exterior Differential Calculus Viewpoint," Economics Papers from University Paris Dauphine 123456789/6427, Paris Dauphine University.
  14. Hildenbrand, Werner, 1983. "On the "Law of Demand."," Econometrica, Econometric Society, vol. 51(4), pages 997-1019, July.
  15. Jerison, Michael, 1994. "Optimal Income Distribution Rules and Representative Consumers," Review of Economic Studies, Wiley Blackwell, vol. 61(4), pages 739-71, October.
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Cited by:
  1. Michael Jerison & John K.-H. Quah, 2006. "Law of Demand," Discussion Papers 06-07, University at Albany, SUNY, Department of Economics.

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