Abstract
In a generic competitive distribution economy with “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 [10]. 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 assumption that is implied by “metonymy.” Metonymy, introduced in [6], relates the demand distribution of households with income x to the demand distribution that slightly poorer households would have if their incomes rose to x. We show that metonymy for a single population 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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References
Afriat, S.N. (1973) On a system of inequalities in demand analysis. International Economic Review 14, 460–472
Battalio, R.C., et. al. (1973) A test of consumer demand theory using observations of individual consumer purchases. Western Economic Journal 11, 411–428
Chiappori, P.-A., Ekeland, I. (1999) Aggregation and market demand: an exterior differential calculus viewpoint. Econometrica 67, 1435–1457
Evstigneev, I.V., Hildenbrand, W., Jerison, M. (1997) Metonymy and cross-section demand. J. Mathematical Econ. 28, 397–414
Grandmont, J.-M. (1992) Transformation of the commodity space, behavioral heterogeneity and the aggregation problem, J. Economic Theory 57, 1–35
Härdle, W., Hildenbrand, W., Jerison, M. (1991) Empirical evidence on the law of demand, Econometrica 59, 1525–1549
Hildenbrand, W. (1983) On the law of demand. Econometrica 51, 997–1019
Hildenbrand, W. (1994) Market Demand. Princeton University Press, Princeton
Hildenbrand, W., Kneip, A. (1993) Family expenditure data, heteroscedasticity and the law of demand. Ricerche Economiche 47, 137–165
Hildenbrand, W., Kneip, A. (1999) Demand aggregation under structural stability. J. Mathematical Econ. 31, 81–109
Jerison, D., Jerison, M. (1993) Approximately Rational Consumer Demand. Economic Theory 3, 217–241
Jerison, M. (1982) The representative consumer and the weak axiom when the distribution of income is fixed. SUNY Albany Discussion Paper 150
Jerison, M. (1987) Testing hypotheses concerning mean demand and uniqueness of competitive equilibrium. Manuscript, U. Bonn
Jerison, M. (1994) Optimal income distribution rules and representative consumers. Review of Economic Studies. 61, 739–771
Jerison, M. (1999) Dispersed excess demands, the weak axiom and uniqueness of equilibrium. J. Mathematical Econ. 31, 15–48
Kihlstrom, R., Mas-Colell, A., Sonnenschein, H. (1976) The demand theory of the weak axiom of revealed preference. Econometrica 44, 971–978
Kneip, A. (1993) Heterogeneity of Demand Behavior and the Space of Engel Curves. Universität Bonn Habilitation.
Kneip, A. (1999) Behavioral heterogeneity and structural properties of aggregate demand. J. Mathematical Econ. 31, 49–79
Mas-Colell, A., Whinston, M., Green, J. (1995) Microeconomic Theory. Oxford U. Press, Oxford
Mas-Colell, A. (1991) On the uniqueness of equilibrium once again, in Barnett, W.A. et. al., eds., Equilibrium Theory and Applications. Cambridge U. Press, Cambridge
Quah, J.K.H. (1999) The weak axiom and comparative statics, Oxford University Working Paper 1999 - W15
Quah, J.K.H. (2000) The monotonicity of individual and market demand. Econometrica 68, 911–930
Shafer, W., Sonnenschein, H. (1984) Market and excess demand, ch. 14 in Handbook of Mathematical Economics. Elsevier, Amsterdam
Sippel, R. (1997) An experiment on the pure theory of consumer’s behavior. Economic J. 107, 1431–1444
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Jerison, M. (2001). Demand Dispersion, Metonymy and Ideal Panel Data. In: Debreu, G., Neuefeind, W., Trockel, W. (eds) Economics Essays. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04623-4_14
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DOI: https://doi.org/10.1007/978-3-662-04623-4_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07539-1
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