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Optimality of Incomplete Markets

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  • Demange Gabrielle
  • Laroque Guy

Abstract

In a static exchange economy where the traders′ initial endowments are risky, the optimality of the financial structure is studied when markets are incomplete. Only financial structures with the same number of assets are compared. A market structure is optimal, when, in a particular economy, it yields an allocation of risks which cannot be Pareto-dominated through the implementation of any other market structure. In a linear Gaussian setup, the optimal market structures are shown to span an eigenspace of a matrix which combines the risk exposures of the participants in the market, approximately weighted by a measure of their risk aversions.
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Suggested Citation

  • Demange Gabrielle & Laroque Guy, 1995. "Optimality of Incomplete Markets," Journal of Economic Theory, Elsevier, vol. 65(1), pages 218-232, February.
  • Handle: RePEc:eee:jetheo:v:65:y:1995:i:1:p:218-232
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    Cited by:

    1. Rohit Rahi & Jean-Pierre Zigrand, 2009. "Strategic Financial Innovation in Segmented Markets," Review of Financial Studies, Society for Financial Studies, vol. 22(8), pages 2941-2971, August.
    2. Athanasoulis, Stefano G & Shiller, Robert J, 2000. "The Significance of the Market Portfolio," Review of Financial Studies, Society for Financial Studies, vol. 13(2), pages 301-329.
    3. Ohashi, Kazuhiko, 1997. "Optimal Futures Innovation in a Dynamic Economy: The Discrete-Time Case," Journal of Economic Theory, Elsevier, vol. 74(2), pages 448-465, June.
    4. Pighi Braila & Alessandro Turrini, 2000. "Asset Market Structure and Growth," CSEF Working Papers 45, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    5. BRAILA, Chrissopighi & TURRINI, Alessandro, 1998. "Assets, human capital, and growth," CORE Discussion Papers 1998063, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    6. John Geanakoplos & Felix Kubler, 2003. "Dollar Denominated Debt and Optimal Security Design," Cowles Foundation Discussion Papers 1449, Cowles Foundation for Research in Economics, Yale University.
    7. Athanasoulis, Stefano G. & Shiller, Robert J., 2002. "Defining residual risk-sharing opportunities: Pooling world income components," Research in Economics, Elsevier, vol. 56(1), pages 61-84, June.
    8. Viral V. Acharya & Alberto Bisin, 2005. "Optimal Financial-Market Integration and Security Design," The Journal of Business, University of Chicago Press, vol. 78(6), pages 2397-2434, November.
    9. Stefano G. Athanasoulis & Robert J. Shiller, 2001. "World Income Components: Measuring and Exploiting Risk-Sharing Opportunities," American Economic Review, American Economic Association, vol. 91(4), pages 1031-1054, September.
    10. Paul S. Willen, 2004. "Incomplete markets and trade," Working Papers 04-8, Federal Reserve Bank of Boston.

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