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Aggregation, efficiency and mutual fund separation in incomplete markets

Author

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  • JÊrÆme B. Detemple

    (Faculty of Management, McGill University, 1001 Sherbrooke Street West, Montreal, H3A 1G5 and CIRANO, Montreal, H3A 2A5, CANADA)

  • Piero Gottardi

    (Dipartimento di Scienze Economiche, UniversitÁ CÁ Foscari di Venezia, I-30123 Venezia, ITALY)

Abstract

This paper studies the conditions for aggregation, portfolio separation and effective completeness of competitive allocations in general equilibrium models with incomplete markets where agents have general preference and endowment distributions. We show that these properties are distinct. Demands may aggregate yet may fail to exhibit fund separation and conversely. Fund separation implies effective completeness while aggregation does not. The implications of these properties for the structure of equilibria are discussed, and generalizations of the CAPM, the consumption CAPM and the CAPM with nonmarketed wealth emerge from the analysis.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:joecth:v:11:y:1998:i:2:p:443-455
    Note: Received: September 12, 1996; revised version: November 7, 1996
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    2. Hens, Thorsten & Reimann, Stefan & Vogt, Bodo, 2004. "Nash competitive equilibria and two-period fund separation," Journal of Mathematical Economics, Elsevier, vol. 40(3-4), pages 321-346, June.
    3. Shen, Yang & Siu, Tak Kuen, 2013. "Stochastic differential game, Esscher transform and general equilibrium under a Markovian regime-switching Lévy model," Insurance: Mathematics and Economics, Elsevier, vol. 53(3), pages 757-768.
    4. Herings, P.J.J. & Kubler, F., 1999. "The Robustness of the CAPM - A Computational Approach," Discussion Paper 1999-54, Tilburg University, Center for Economic Research.
    5. Hens, Thorsten, 2001. "An extension of Mantel (1976) to incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 36(2), pages 141-149, November.
    6. Chenghu Ma & Jiankang Zhang, 2013. "p-Weakly constrained Pareto efficiency and aggregation in incomplete markets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(3), pages 605-623, September.
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    9. Gerber, Anke & Hens, Thorsten & Woehrmann, Peter, 2005. "Dynamic General Equilibrium and T-Period Fund Separation," Discussion Papers 2005/16, Norwegian School of Economics, Department of Business and Management Science.

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    More about this item

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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