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Transformations of the Commodity Space, Behavioral Heterogeneity and the Aggregation Problem

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  • Jean-Michel Grandmont

    (Cowles Foundation, Yale University)

Abstract

The aggregation problem in demand analysis and exchange equilibrium is studied by putting restrictions on the shape of the distribution of the agents' characteristics. This is done by exploiting the finite dimensional linear structure induced on demand functions by affine transformations of the commodity space (or household equivalence scales). Increasing the degree of behavioral heterogeneity in the household sector or more specifically, making the conditional distributions in each equivalence class of demand functions fiat enough, has an important regularizing influence on aggregate budget shares: market demand has a negative dominant diagonal Jacobian matrix, aggregate excess demand has the gross substitutability property, on a large set of prices. These facts have strong consequences for the unicity and stability of equilibrium as well as for the prevalence of the weak axiom of revealed preference in the aggregate in a private ownership Walrasian exchange model.

Suggested Citation

  • Jean-Michel Grandmont, 1991. "Transformations of the Commodity Space, Behavioral Heterogeneity and the Aggregation Problem," Cowles Foundation Discussion Papers 987, Cowles Foundation for Research in Economics, Yale University.
  • Handle: RePEc:cwl:cwldpp:987
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    Aggregation; demand functions; revealed preferences;

    JEL classification:

    • D12 - Microeconomics - - Household Behavior - - - Consumer Economics: Empirical Analysis
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation

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