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Modelling Behavioral Heterogeneity

  • Gael GIRAUD
  • Isabelle MARET

If one wants to get rid of the paradoxes pointed out by Hildenbrand (1998) and B. de Villemeur (1999), one needs to reformulate Grandmont's (1992) notion of behavioral heterogeneity such as to get exact insensitivity of the aggregate budget share function with respect to changes in prices and income, instead of a mere approximate insensitivity. Here, we propose a non parametric set-up such that, if the population is distributed according to some ``uniform'' measure, the aggregate budget share function is constant. This exact insensitivity is not explained by any insensitivity property at the micro-economic level, but rather by a perfect ``balancing effect''. We then discuss the economic interpretation of some concrete examples illustrating our theory.

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Paper provided by Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg in its series Working Papers of BETA with number 2002-22.

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Date of creation: 2002
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Handle: RePEc:ulp:sbbeta:2002-22
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  1. Kneip, Alois, 1999. "Behavioral heterogeneity and structural properties of aggregate demand," Journal of Mathematical Economics, Elsevier, vol. 31(1), pages 49-79, February.
  2. Chiappori, Pierre-Andre, 1985. "Distribution of Income and the "Law of Demand."," Econometrica, Econometric Society, vol. 53(1), pages 109-27, January.
  3. CHIAPPORI, Pierre-André & EKELAND, Ivar & KUBLER, Félix & POLEMARCHAKIS, Heracles, 2000. "The identification of preferences from equilibrium prices under uncertainty," CORE Discussion Papers 2000025, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Hildenbrand, K., 1998. "On J.M. Grandmont's Modelling of Behavioral Heterogeneity," Discussion Paper Serie A 580, University of Bonn, Germany.
  5. Mas-Colell, Andreu & Neuefeind, Wilhelm, 1977. "Some Generic Properties of Aggregate Excess Demand and an Application," Econometrica, Econometric Society, vol. 45(3), pages 591-99, April.
  6. Mertens, J.-F., 1988. "Stable equilibria - a reformulation," CORE Discussion Papers 1988038, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  7. John K.-H. Quah, 1997. "The Law of Demand when Income Is Price Dependent," Econometrica, Econometric Society, vol. 65(6), pages 1421-1442, November.
  8. 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.
  9. Takeshi Momi, . "Excess Demand Functions with Incomplete Markets - A Global Result," IEW - Working Papers 096, Institute for Empirical Research in Economics - University of Zurich.
  10. Hildenbrand, Werner, 1983. "On the "Law of Demand."," Econometrica, Econometric Society, vol. 51(4), pages 997-1019, July.
  11. de Villemur, E.B., 1998. "Heterogeneity and Stability: Variations on Scarf's Processes," Economics Working Papers eco98/38, European University Institute.
  12. Kirman, Alan, 1989. "The Intrinsic Limits of Modern Economic Theory: The Emperor Has No Clothes," Economic Journal, Royal Economic Society, vol. 99(395), pages 126-39, Supplemen.
  13. Marhuenda, F, 1995. "Distribution of Income and Aggregation of Demand," Econometrica, Econometric Society, vol. 63(3), pages 647-66, May.
  14. Bottazzi, Jean-Marc & Hens, Thorsten, 1996. "Excess Demand Functions and Incomplete Markets," Journal of Economic Theory, Elsevier, vol. 68(1), pages 49-63, January.
  15. repec:cup:cbooks:9780521335614 is not listed on IDEAS
  16. 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).
  17. 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.
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