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

Jean-Michel Grandmont ()

No 987, Cowles Foundation Discussion Papers from Cowles Foundation for Research in Economics, 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.

Keywords: Aggregation; demand functions; revealed preferences (search for similar items in EconPapers)
JEL-codes: C43 D12 D51 (search for similar items in EconPapers)
Pages: 48 pages
Date: 1991-07
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Citations: View citations in EconPapers (3)

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Related works:
Journal Article: Transformations of the commodity space, behavioral heterogeneity, and the aggregation problem (1992)
Working Paper: Transformation of the commodity space, behavioral heterogeneity and the aggregation problem (1991)
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