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Behavioral Heterogeneity in Large Economies

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  • 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
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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.;

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  1. 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.
  2. 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.
  3. Mertens, J.-F., 1988. "Stable equilibria - a reformulation," CORE Discussion Papers 1988038, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  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. Debreu,Gerard Introduction by-Name:Hildenbrand,Werner, 1986. "Mathematical Economics," Cambridge Books, Cambridge University Press, number 9780521335614, April.
  6. Bottazzi, Jean-Marc & Hens, Thorsten, 1996. "Excess Demand Functions and Incomplete Markets," Journal of Economic Theory, Elsevier, vol. 68(1), pages 49-63, January.
  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. Hildenbrand, K., 1998. "On J.M. Grandmont's Modelling of Behavioral Heterogeneity," Discussion Paper Serie A 580, University of Bonn, Germany.
  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. 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.
  11. de Villemur, E.B., 1998. "Heterogeneity and Stability: Variations on Scarf's Processes," Economics Working Papers eco98/38, European University Institute.
  12. 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.
  13. 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).
  14. 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.
  15. Marhuenda, F, 1995. "Distribution of Income and Aggregation of Demand," Econometrica, Econometric Society, vol. 63(3), pages 647-66, May.
  16. Hildenbrand, Werner, 1983. "On the "Law of Demand."," Econometrica, Econometric Society, vol. 51(4), pages 997-1019, July.
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Cited by:
  1. John Quah & Gael Giraud, 2002. "Heterotic Models of Aggregate Demand," Economics Series Working Papers 2002-W18, University of Oxford, Department of Economics.
  2. Werner Hildenbrand & Alois Kneip, 2005. "On behavioral heterogeneity," Economic Theory, Springer, vol. 25(1), pages 155-169, 01.

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