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Complete and incomplete markets with short-sale constraints

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  • Eduardo L. Giménez

Abstract

This paper argues that the introduction of a short-sale constraint in the Arrow-Radner framework invalidates standard definitions of complete and incomplete markets. Two threshold values with familiar properties arise in this constrained set-up. If short sales are not allowed on some security, then financial markets will be incomplete in the standard sense. Beyond a particular level of the short-sale bound, financial markets are “complete”, since the short-sale constraint is not effective. For intermediate bounds the distinction between complete and incomplete financial markets is blurred. Although some technical definitions hold, agents can not fully transfer wealth among states. These intermediate cases, called “technically incomplete markets”, exhibit interesting welfare properties. For instance, the resulting equilibrium allocations may not be Pareto-dominated by those of the non-restricted complete markets equilibrium. Copyright Springer-Verlag Berlin Heidelberg 2003

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  • Eduardo L. Giménez, 2003. "Complete and incomplete markets with short-sale constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 21(1), pages 195-204, January.
    • Handle: RePEc:spr:joecth:v:21:y:2003:i:1:p:195-204
    DOI: 10.1007/s00199-001-0244-9
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    References listed on IDEAS

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    1. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    2. LeRoy,Stephen F. & Werner,Jan, 2014. "Principles of Financial Economics," Cambridge Books, Cambridge University Press, number 9781107024120, February.
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    Cited by:

    1. Chevallier, Claire Océane & El Joueidi, Sarah, 2019. "Capital regulation and banking bubbles," Journal of Mathematical Economics, Elsevier, vol. 84(C), pages 117-129.
    2. Araujo, Aloisio & Páscoa, Mário R. & Torres-Martínez, Juan Pablo, 2011. "Long-lived collateralized assets and bubbles," Journal of Mathematical Economics, Elsevier, vol. 47(3), pages 260-271.
    3. Francesc Obiols-Homs, 2011. "On borrowing limits and welfare," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 14(2), pages 279-294, April.
    4. Hiroyuki Nakata, 2013. "Welfare effects of short-sale constraints under heterogeneous beliefs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(2), pages 283-314, June.
    5. Motolese, Maurizio & Nakata, Hiroyuki, 2024. "Are macroeconomic indices fool's gold?," Journal of Economic Behavior & Organization, Elsevier, vol. 217(C), pages 240-260.
    6. Eduardo Giménez, 2007. "On the positive fundamental value of money with short-sale constraints," Annals of Finance, Springer, vol. 3(4), pages 455-469, October.

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    More about this item

    Keywords

    Keywords and Phrases: Complete markets; Incomplete markets; Technically incomplete markets; Short-Sale constraint.; JEL Classification Numbers: D52; D61; G12.;
    All these keywords.

    JEL classification:

    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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