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An Extension of Mantel (1976) to Incomplete Markets

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  • Thorsten Hens

Abstract

In the incomplete markets model with numeraire asset and a single con- sumption good we show that, even with homothetic preferences, on compact sets of prices Continuity, Walras' identity and Homogeneity characterize the properties of market excess demand.This result is proved by an extension of Mantel (1976) to the case of incomplete markets.

Suggested Citation

  • Thorsten Hens, "undated". "An Extension of Mantel (1976) to Incomplete Markets," IEW - Working Papers 071, Institute for Empirical Research in Economics - University of Zurich.
    • Handle: RePEc:zur:iewwpx:071
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    File URL: https://www.econ.uzh.ch/apps/workingpapers/wp/iewwp071.pdf
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    References listed on IDEAS

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    1. E. Eisenberg, 1961. "Aggregation of Utility Functions," Management Science, INFORMS, vol. 7(4), pages 337-350, July.
    2. Mantel, Rolf R., 1974. "On the characterization of aggregate excess demand," Journal of Economic Theory, Elsevier, vol. 7(3), pages 348-353, March.
    3. Bottazzi, Jean-Marc & Hens, Thorsten, 1996. "Excess Demand Functions and Incomplete Markets," Journal of Economic Theory, Elsevier, vol. 68(1), pages 49-63, January.
    4. Mantel, Rolf R., 1976. "Homothetic preferences and community excess demand functions," Journal of Economic Theory, Elsevier, vol. 12(2), pages 197-201, April.
    5. Hildenbrand, Werner & Jerison, Michael, 1989. "The demand theory of the weak axioms of revealed preference," Economics Letters, Elsevier, vol. 29(3), pages 209-213.
    6. Thorsten Hens & Piero Gottardi, 1999. "Disaggregation of excess demand and comparative statics with incomplete markets and nominal assets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(2), pages 287-308.
    7. Hugo Sonnenschein, 1973. "The Utility Hypothesis and Market Demand Theory," Discussion Papers 51, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    8. Chipman, John S., 1974. "Homothetic preferences and aggregation," Journal of Economic Theory, Elsevier, vol. 8(1), pages 26-38, May.
    9. Debreu, Gerard, 1974. "Excess demand functions," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 15-21, March.
    10. Sonnenschein, Hugo, 1973. "Do Walras' identity and continuity characterize the class of community excess demand functions?," Journal of Economic Theory, Elsevier, vol. 6(4), pages 345-354, August.
    11. Chiappori, Pierre-Andre & Ekeland, Ivar, 1999. "Disaggregation of excess demand functions in incomplete markets1," Journal of Mathematical Economics, Elsevier, vol. 31(1), pages 111-129, February.
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    Cited by:

    1. Momi, Takeshi, 2003. "Excess demand functions with incomplete markets--a global result," Journal of Economic Theory, Elsevier, vol. 111(2), pages 240-250, August.

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    More about this item

    Keywords

    structure of excess demand; incomplete markets;

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

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