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Dark Markets with Multiple Assets: Segmentation, Asymptotic Stability, and Equilibrium Prices

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  • Alain B'elanger
  • Ndoun'e Ndoun'e
  • Roland Pongou

Abstract

We study a generalization of the model of a dark market due to Duffie-G\^arleanu- Pedersen [6]. Our market is segmented and involves multiple assets. We show that this market has a unique asymptotically stable equilibrium. In order to establish this result, we use a novel approach inspired by a theory due to McKenzie and Hawkins-Simon. Moreover, we obtain a closed form solution for the price of each asset at which investors trade at equilibrium. We conduct a comparative statics analysis which shows, among other sensitivities, how equilibrium prices respond to the level of interactions between investors.

Suggested Citation

  • 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.
  • Handle: RePEc:arx:papers:1806.01924
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    References listed on IDEAS

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    1. Duffie, Darrell & Sun, Yeneng, 2012. "The exact law of large numbers for independent random matching," Journal of Economic Theory, Elsevier, vol. 147(3), pages 1105-1139.
    2. Weill, Pierre-Olivier, 2008. "Liquidity premia in dynamic bargaining markets," Journal of Economic Theory, Elsevier, vol. 140(1), pages 66-96, May.
    3. Eckhard Platen, 2006. "A Benchmark Approach To Finance," Mathematical Finance, Wiley Blackwell, vol. 16(1), pages 131-151, January.
    4. Takayama,Akira, 1985. "Mathematical Economics," Cambridge Books, Cambridge University Press, number 9780521314985, September.
    5. 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.
    6. 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.
    7. Darrell Duffie, 2012. "Dark Markets: Asset Pricing and Information Transmission in Over-the-Counter Markets," Economics Books, Princeton University Press, edition 1, number 9623.
    8. Sun, Yeneng, 2006. "The exact law of large numbers via Fubini extension and characterization of insurable risks," Journal of Economic Theory, Elsevier, vol. 126(1), pages 31-69, January.
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