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Existence and Uniqueness of a Steady State for an OTC Market with Several Assets

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  • Alain Belanger
  • Ndoune Ndoune

Abstract

We introduce and study a class of over-the-counter market models specified by systems of Ordinary Differential Equations (ODE's), in the spirit of Duffie- G^arleanu-Pedersen [6]. The key innovation is allowing for multiple assets. We show the existence and uniqueness of a steady state for these ODE's.

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  • Alain Belanger & Ndoune Ndoune, 2014. "Existence and Uniqueness of a Steady State for an OTC Market with Several Assets," Papers 1411.7991, arXiv.org, revised Mar 2016.
    • Handle: RePEc:arx:papers:1411.7991
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    References listed on IDEAS

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    1. Darrell Duffie, 2012. "Over-The-Counter Markets," Introductory Chapters, in: Dark Markets: Asset Pricing and Information Transmission in Over-the-Counter Markets, Princeton University Press.
    2. Vayanos, Dimitri & Wang, Tan, 2007. "Search and endogenous concentration of liquidity in asset markets," Journal of Economic Theory, Elsevier, vol. 136(1), pages 66-104, September.
    3. Weill, Pierre-Olivier, 2008. "Liquidity premia in dynamic bargaining markets," Journal of Economic Theory, Elsevier, vol. 140(1), pages 66-96, May.
    4. Gârleanu, Nicolae, 2009. "Portfolio choice and pricing in illiquid markets," Journal of Economic Theory, Elsevier, vol. 144(2), pages 532-564, March.
    5. Darrell Duffie, 2012. "Dark Markets: Asset Pricing and Information Transmission in Over-the-Counter Markets," Economics Books, Princeton University Press, edition 1, number 9623.
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    Cited by:

    1. Alain B'elanger & Gaston Giroux & Ndoun'e Ndoun'e, 2015. "Some new results on Dufffie-type OTC markets," Papers 1503.03006, arXiv.org.
    2. Alain B'elanger & Ndoun'e Ndoun'e & Roland Pongou, 2018. "Dark Markets with Multiple Assets: Segmentation, Asymptotic Stability, and Equilibrium Prices," Papers 1806.01924, arXiv.org.

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