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Some new results on Dufffie-type OTC markets

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  • Alain B'elanger
  • Gaston Giroux
  • Ndoun'e Ndoun'e

Abstract

The extended Wild sums considered in this article generalize the classi- cal Wild sums of statistical physics. We first show how to obtain explicit solutions for the evolution equation of a large system where the interactions are given by a single, but general, interacting kernel which involves m components, for a fixed m >= 2. We then show how to retain the explicit formulas for the case of OTC market models where the dynamics is more directly described by two (or more) kernels.

Suggested Citation

  • Alain B'elanger & Gaston Giroux & Ndoun'e Ndoun'e, 2015. "Some new results on Dufffie-type OTC markets," Papers 1503.03006, arXiv.org.
    • Handle: RePEc:arx:papers:1503.03006
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    References listed on IDEAS

    as
    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. 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.
    3. Darrell Duffie & Semyon Malamud & Gustavo Manso, 2009. "Information Percolation With Equilibrium Search Dynamics," Econometrica, Econometric Society, vol. 77(5), pages 1513-1574, September.
    4. Alain B'elanger & Gaston Giroux & Miguel Moisan-Poisson, 2013. "Over-the-counter market models with several assets," Papers 1308.2957, arXiv.org.
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