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Excess demand function around critical prices in incomplete markets

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  • Momi, Takeshi

Abstract

We show that the aggregate excess demand function in an economy with incomplete real asset markets can be characterized by Walras' law, homogeneity, and continuity around critical prices that cause one-dimensional drop of the dimension of the budget set.

Suggested Citation

  • Momi, Takeshi, 2010. "Excess demand function around critical prices in incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 46(3), pages 293-302, May.
    • Handle: RePEc:eee:mateco:v:46:y:2010:i:3:p:293-302
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    References listed on IDEAS

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    1. Bottazzi, Jean-Marc & Hens, Thorsten, 1996. "Excess Demand Functions and Incomplete Markets," Journal of Economic Theory, Elsevier, vol. 68(1), pages 49-63, January.
    2. Hart, Oliver D., 1975. "On the optimality of equilibrium when the market structure is incomplete," Journal of Economic Theory, Elsevier, vol. 11(3), pages 418-443, December.
    3. 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.
    4. 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.
    5. Mantel, Rolf R., 1974. "On the characterization of aggregate excess demand," Journal of Economic Theory, Elsevier, vol. 7(3), pages 348-353, March.
    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. Gottardi, Piero & Mas-Colell, Andreu, 2000. "A note on the decomposition (at a point) of aggregate excess demand on the Grassmannian1," Journal of Mathematical Economics, Elsevier, vol. 33(4), pages 463-473, May.
    8. Momi, Takeshi, 2003. "Excess demand functions with incomplete markets--a global result," Journal of Economic Theory, Elsevier, vol. 111(2), pages 240-250, August.
    9. Debreu, Gerard, 1974. "Excess demand functions," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 15-21, March.
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    Cited by:

    1. Momi, Takeshi, 2012. "Failure of the index theorem in an incomplete market economy," Journal of Mathematical Economics, Elsevier, vol. 48(6), pages 437-444.

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