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On the characterization of excess demand functions

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  • Marwan Aloqeili

Abstract

In this paper, we give the necessary and sufficient conditions that characterize the individual excess demand function when it depends smoothly on prices and endowments. A given function is an excess demand function if and only if it satisfies, in addition to Walras’ law and zero homogeneity in prices, a set of first order partial differential equations, its substitution matrix is symmetric and negative semidefinite. Moreover, we show that these conditions are equivalent to the symmetry and negative semidefiniteness of Slutsky matrix, Walras’ law and zero homogeneity of Marshallian demand functions. Copyright Springer-Verlag Berlin/Heidelberg 2005

Suggested Citation

  • Marwan Aloqeili, 2005. "On the characterization of excess demand functions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(1), pages 217-225, July.
  • Handle: RePEc:spr:joecth:v:26:y:2005:i:1:p:217-225
    DOI: 10.1007/s00199-004-0507-3
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    Cited by:

    1. Marwan Aloqeili, 2020. "The characterization of demand and excess demand functions, revisited," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(2), pages 691-707, December.

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