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Disaggregation of excess demand and comparative statics with incomplete markets and nominal assets

Author

Listed:
  • Thorsten Hens

    (Department of Economics, University of Bielefeld, Postfach 100 131, D-33501 Bielefeld, GERMANY)

  • Piero Gottardi

    (Dipartimento di Scienze Economiche, University of Venice, Venice, ITALY)

Abstract

We prove that locally, Walras' law and homogeneity characterize the structure of market excess demand functions when financial markets are incomplete and assets' returns are nominal. The method of proof is substantially different from all existing arguments as the properties of individual demand are also different. We show that this result has important implications and is part of a more general result that excess demand is an essentially arbitrary function not just of prices, but also of the exogenous parameters of the economy as asset returns, preferences, and endowments. Thus locally the equilibrium manifold, relating equilibrium prices to these parameters has also no structure.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:joecth:v:13:y:1999:i:2:p:287-308
    Note: Received: September 17, 1996; revised version: November 7, 1997
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    Citations

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    Cited by:

    1. Momi, Takeshi, 2010. "Excess demand function around critical prices in incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 46(3), pages 293-302, May.
    2. JÊrÆme B. Detemple & Piero Gottardi, 1998. "Aggregation, efficiency and mutual fund separation in incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(2), pages 443-455.
    3. Chiaki Hara, 2010. "Pareto Improvement and Agenda Control of Sequential Financial Innovations," KIER Working Papers 748, Kyoto University, Institute of Economic Research.
    4. 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.
    5. Momi, Takeshi, 2003. "Excess demand functions with incomplete markets--a global result," Journal of Economic Theory, Elsevier, vol. 111(2), pages 240-250, August.
    6. Sergio Turner, 2006. "Theory of Demand in Incomplete Markets," Working Papers 2006-07, Brown University, Department of Economics.
    7. Hens, Thorsten, 2001. "An extension of Mantel (1976) to incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 36(2), pages 141-149, November.
    8. Momi, Takeshi, 2009. "Excess demand functions when new assets are introduced," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1832-1843, July.
    9. Hara, Chiaki, 2011. "Pareto improvement and agenda control of sequential financial innovations," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 336-345.
    10. Douglas W. Blackburn & Andrey D. Ukhov, 2013. "Individual vs. Aggregate Preferences: The Case of a Small Fish in a Big Pond," Management Science, INFORMS, vol. 59(2), pages 470-484, August.
    11. Piero Gottardi & Andreu Mas-Colell, 1999. "A Note on the Decomposition (at a Point) of Aggregate Excess Demand on the Grassmannian," Working Papers 99-11, Brown University, Department of Economics.
    12. Thorsten Hens, "undated". "An Extension of Mantel (1976) to Incomplete Markets," IEW - Working Papers 071, Institute for Empirical Research in Economics - University of Zurich.
    13. Sergio Turner, 2006. "Pareto Improving Financial Innovation in Incomplete Markets," Working Papers 2006-10, Brown University, Department of Economics.

    More about this item

    Keywords

    Excess demand functions · 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

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