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Behavioral Heterogeneity in Large Economies

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Listed author(s):
  • Gael Giraud
  • Isabelle Maret

Abstract

Grandmont\'s ([14]) notion of behavioral heterogeneity is reformulated in a non parametric set-up such that the space of budget share functions admits a ``uniform\'\' probability distribution. If the population is distributed according to this measure, the aggregate budget share function is constant with respect to changes in prices and income. This exact insensitivity of the market budget share function is known to imply uniqueness and global stability of any competitive equilibrium. Here, it is not explained by any insensitivity property at the micro-economic level, but rather by a perfect \'balancing effect\'. Eventually, it is proved that the insensitivity property holds approximately for a finite population sufficiently close to, but distinct from, the perfectly heterogenous one.

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Paper provided by Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg in its series Working Papers of BETA with number 2001-08.

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Date of creation: 2001
Handle: RePEc:ulp:sbbeta:2001-08
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Keywords: Aggregation of demand; behavioral heterogeneity; large economy; Law of Demand; Insensitivity of market budget shares.;

Other versions of this item:

Find related papers by JEL classification:
  • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
  • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
  • D30 - Microeconomics - - Distribution - - - General
  • D41 - Microeconomics - - Market Structure, Pricing, and Design - - - Perfect Competition
  • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
  • E1 - Macroeconomics and Monetary Economics - - General Aggregative Models

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  1. Momi, Takeshi, 2003. "Excess demand functions with incomplete markets--a global result," Journal of Economic Theory, Elsevier, vol. 111(2), pages 240-250, August.
  2. Bottazzi, Jean-Marc & Hens, Thorsten, 1996. "Excess Demand Functions and Incomplete Markets," Journal of Economic Theory, Elsevier, vol. 68(1), pages 49-63, January.
  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. Kneip, Alois, 1999. "Behavioral heterogeneity and structural properties of aggregate demand," Journal of Mathematical Economics, Elsevier, vol. 31(1), pages 49-79, February.
  5. Kubler, F. & Chiappori, P. -A. & Ekeland, I. & Polemarchakis, H. M., 2002. "The Identification of Preferences from Equilibrium Prices under Uncertainty," Journal of Economic Theory, Elsevier, vol. 102(2), pages 403-420, February.
  6. John K.-H. Quah, 1997. "The Law of Demand when Income Is Price Dependent," Econometrica, Econometric Society, vol. 65(6), pages 1421-1442, November.
  7. Jean-François Mertens, 1989. "Stable Equilibria---A Reformulation," Mathematics of Operations Research, INFORMS, vol. 14(4), pages 575-625, November.
  8. Dierker, Egbert & Dierker, Hildegard & Trockel, Walter, 1984. "Price-dispersed preferences and C1 mean demand," Journal of Mathematical Economics, Elsevier, vol. 13(1), pages 11-42, April.
  9. Kirman, Alan, 1989. "The Intrinsic Limits of Modern Economic Theory: The Emperor Has No Clothes," Economic Journal, Royal Economic Society, vol. 99(395), pages 126-139, Supplemen.
  10. CALVET, Laurent & GRANDMONT, Jean-Michel & LEMAIRE, Isabelle, 1998. "Heterogeneous probabilities in complete asset markets," CORE Discussion Papers 1998019, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  11. Hildenbrand, K., 1998. "On J.M. Grandmont's Modelling of Behavioral Heterogeneity," Discussion Paper Serie A 580, University of Bonn, Germany.
  12. Marhuenda, F, 1995. "Distribution of Income and Aggregation of Demand," Econometrica, Econometric Society, vol. 63(3), pages 647-666, May.
  13. Hildenbrand, Werner, 1983. "On the "Law of Demand."," Econometrica, Econometric Society, vol. 51(4), pages 997-1019, July.
  14. de Villemur, E.B., 1998. "Heterogeneity and Stability: Variations on Scarf's Processes," Economics Working Papers eco98/38, European University Institute.
  15. Mas-Colell, Andreu & Neuefeind, Wilhelm, 1977. "Some Generic Properties of Aggregate Excess Demand and an Application," Econometrica, Econometric Society, vol. 45(3), pages 591-599, April.
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Cited by:

  1. Gael Giraud & John Quah, 2002. "Heterotic Models of Aggregate Demand," Economics Papers 2002-W18, Economics Group, Nuffield College, University of Oxford.
  2. Giraud Gael & Quah John K.-H., 2003. "Homothetic or Cobb-Douglas Behavior Through Aggregation," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 3(1), pages 1-23, December.
  3. Werner Hildenbrand & Alois Kneip, 2005. "On behavioral heterogeneity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 25(1), pages 155-169, 01.

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