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The Exact Insensitivity of Market Budget Shares and the "Balancing Effect"

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  • Gaël Giraud

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris sciences et lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement)

  • Isabelle Maret

    (BETA - Bureau d'Économie Théorique et Appliquée - INRA - Institut National de la Recherche Agronomique - UNISTRA - Université de Strasbourg - UL - Université de Lorraine - CNRS - Centre National de la Recherche Scientifique)

Abstract

We reformulate Grandmont's and its successors' notion of behavioral heterogeneity such as to get the exact insensitivity of the aggregate budget share function with respect to changes in prices and income, instead of a mere approximate insensitivity. We propose a non parametric set-up such that, if the population is distributed according to some "uniform" probability measure, the aggregate budget share function is constant. The important contribution is that this exact insensitivity is not explained by any insensitivity at the microeconomic level but rather by an exact "balancing effect". We give illustrative examples of populations that fulfill our requirements.

Suggested Citation

  • Gaël Giraud & Isabelle Maret, 2007. "The Exact Insensitivity of Market Budget Shares and the "Balancing Effect"," Post-Print halshs-00155753, HAL.
    • Handle: RePEc:hal:journl:halshs-00155753
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00155753
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    References listed on IDEAS

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    1. Jerison, Michael, 1999. "Dispersed excess demands, the weak axiom and uniqueness of equilibrium," Journal of Mathematical Economics, Elsevier, vol. 31(1), pages 15-48, February.
    2. John K.-H. Quah, 2000. "The Monotonicity of Individual and Market Demand," Econometrica, Econometric Society, vol. 68(4), pages 911-930, July.
    3. Marhuenda, F, 1995. "Distribution of Income and Aggregation of Demand," Econometrica, Econometric Society, vol. 63(3), pages 647-666, May.
    4. Mas-Colell, Andreu, 1977. "On the equilibrium price set of an exchange economy," Journal of Mathematical Economics, Elsevier, vol. 4(2), pages 117-126, August.
    5. Hildenbrand, Werner, 1983. "On the "Law of Demand."," Econometrica, Econometric Society, vol. 51(4), pages 997-1019, July.
    6. Gael Giraud & John Quah, 2002. "Heterotic Models of Aggregate Demand," Economics Papers 2002-W18, Economics Group, Nuffield College, University of Oxford.
    7. Chiappori, Pierre-Andre, 1988. "Rational Household Labor Supply," Econometrica, Econometric Society, vol. 56(1), pages 63-90, January.
    8. John K.-H. Quah, 1997. "The Law of Demand when Income Is Price Dependent," Econometrica, Econometric Society, vol. 65(6), pages 1421-1442, November.
    9. 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.
    10. CALVET, Laurent & GRANDMONT, Jean-Michel & LEMAIRE, Isabelle, 1998. "Heterogeneous probabilities in complete asset markets," LIDAM Discussion Papers CORE 1998019, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. Chiappori, Pierre-Andre, 1985. "Distribution of Income and the "Law of Demand."," Econometrica, Econometric Society, vol. 53(1), pages 109-127, January.
    12. Mas-Colell, Andreu & Neuefeind, Wilhelm, 1977. "Some Generic Properties of Aggregate Excess Demand and an Application," Econometrica, Econometric Society, vol. 45(3), pages 591-599, April.
    13. Maret, Isabelle, 1998. "Heterogeneous households}} intertemporal characteristics and the aggregation problem," Research in Economics, Elsevier, vol. 52(2), pages 133-157, June.
    14. Grandmont, Jean-Michel, 1992. "Transformations of the commodity space, behavioral heterogeneity, and the aggregation problem," Journal of Economic Theory, Elsevier, vol. 57(1), pages 1-35.
    15. Kneip, Alois, 1999. "Behavioral heterogeneity and structural properties of aggregate demand," Journal of Mathematical Economics, Elsevier, vol. 31(1), pages 49-79, February.
    16. E. B. de Villemeur, 1999. "Aggregation of demand and distribution of characteristics : A difficulty in modelling behavioural heterogeneity," THEMA Working Papers 99-38, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
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    Cited by:

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    4. Jalal EL OUARDIGHI & Rabija SOMUN-KAPETANOVIC, 2006. "Convergence des contributions aux inégalités de richesse dans le développement des pays européens," Working Papers of BETA 2006-19, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    5. Giovanni Dosi & Patrick Llerena & Mauro Sylos Labini, 2005. "Science-Technology-Industry Links and the ”European Paradox”: Some Notes on the Dynamics of Scientific and Technological Research in Europe," LEM Papers Series 2005/02, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
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    9. Li Qin & Eleftherios Spyromitros & Moïse Sidiropoulos, 2007. "Monetary Policy with Uncertain Central Bank Preferences for Robustness," Working Papers of BETA 2007-23, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
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    More about this item

    Keywords

    Law of demand; Balancing effect; Behavioral heterogeneity; Aggregation of demand; Large economy; Économie non-atomique; Effet de balancement; Hétérogénéité; Agrégation de la demande; Loi de la demande;
    All these keywords.

    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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