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Dispersed Excess Demands, the Weak Axiom and Uniqueness of Equilibrium

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  • Michael Jerison

Abstract

This paper introduces an economically interpretable hypothesis that implies that mean excess demand satisfies the weak axiom and that competitive equilibrium is unique. The hypothesis requires, roughly, that the consumers' excess demand vectors spread apart on average as their wealth increases. The hypothesis is potentially testable using cross section data on consumer expenditures and endowments. It is satisfied in a robust class of economies, including those with suitable types of consumer heterogeneity. However, it implies stringent restrictions on the consumers' Engel curves if it is required to hold for every distribution of collinear consumer endowments.

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Bibliographic Info

Paper provided by University at Albany, SUNY, Department of Economics in its series Discussion Papers with number 98-03.

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Date of creation: 1998
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Handle: RePEc:nya:albaec:98-03

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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

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References

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  1. Jerison, Michael, 1984. "Aggregation and pairwise aggregation of demand when the distribution of income is fixed," Journal of Economic Theory, Elsevier, vol. 33(1), pages 1-31, June.
  2. Hildenbrand, Werner, 1989. "The Weak Axiom of Revealed Preference for Market Demand Is Strong," Econometrica, Econometric Society, vol. 57(4), pages 979-85, July.
  3. Haerdle,W. Hildenbrand,W. Jerison,M., 1988. "Empirical evidence on the law of demand," Discussion Paper Serie A 193, University of Bonn, Germany.
  4. John K.-H. Quah, 1997. "The Law of Demand when Income Is Price Dependent," Econometrica, Econometric Society, vol. 65(6), pages 1421-1442, November.
  5. 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.
  6. Jerison, Michael, 1994. "Optimal Income Distribution Rules and Representative Consumers," Review of Economic Studies, Wiley Blackwell, vol. 61(4), pages 739-71, October.
  7. Marhuenda, F, 1995. "Distribution of Income and Aggregation of Demand," Econometrica, Econometric Society, vol. 63(3), pages 647-66, May.
  8. Hildenbrand, Werner & Kneip, Alois, 1993. "Family expenditure data, heteroscedasticity and the Law of Demand," Ricerche Economiche, Elsevier, vol. 47(2), pages 137-165, June.
  9. Freixas, Xavier & Mas-Colell, Andreu, 1987. "Engel Curves Leading to the Weak Axiom in the Aggregate," Econometrica, Econometric Society, vol. 55(3), pages 515-31, May.
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Citations

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Cited by:
  1. Brighi, Luigi, 2004. "A stronger criterion for the Weak Weak Axiom," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 93-103, February.
  2. John Quah, 2006. "Weak axiomatic demand theory," Economic Theory, Springer, vol. 29(3), pages 677-699, November.
  3. Quah, John K.-H., 2008. "The existence of equilibrium when excess demand obeys the weak axiom," Journal of Mathematical Economics, Elsevier, vol. 44(3-4), pages 337-343, February.
  4. John Quah, 2004. "The aggregate weak axiom in a financial economy through dominant substitution effects," Economics Papers 2004-W18, Economics Group, Nuffield College, University of Oxford.
  5. Zigrand, Jean-Pierre, 2004. "A general equilibrium analysis of strategic arbitrage," Journal of Mathematical Economics, Elsevier, vol. 40(8), pages 923-952, December.
  6. John Quah, 2001. "Comparative Statics of the Weak Axiom," Economics Series Working Papers 2001-W03, University of Oxford, Department of Economics.
  7. Gael Giraud & John Quah, 2002. "Heterotic Models of Aggregate Demand," Economics Papers 2002-W18, Economics Group, Nuffield College, University of Oxford.
  8. Quah, John K. -H., 2003. "Market demand and comparative statics when goods are normal," Journal of Mathematical Economics, Elsevier, vol. 39(3-4), pages 317-333, June.
  9. Gaël Giraud & Isabelle Maret, 2007. "The Exact Insensitivity of Market Budget Shares and the "Balancing Effect"," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00155753, HAL.
  10. Werner Hildenbrand & Alois Kneip, 2005. "On behavioral heterogeneity," Economic Theory, Springer, vol. 25(1), pages 155-169, 01.
  11. Nachbar, John H., 2004. "General equilibrium comparative statics: discrete shocks in production economies," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 153-163, February.
  12. Michael Jerison & John K.-H. Quah, 2006. "Law of Demand," Discussion Papers 06-07, University at Albany, SUNY, Department of Economics.
  13. Michael Jerison, 2001. "Demand Dispersion, Metonymy and Ideal Panel Data," Discussion Papers 01-11, University at Albany, SUNY, Department of Economics.

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