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Information Percolation: Some General Cases with an Application to Econophysics

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  • Alain B'elanger
  • Gaston Giroux

Abstract

We describe, at the microscopic level, the dynamics of N interacting components where the probability is very small when N is large that a given component interact more than once, directly or indirectly, up to time t, with any other component. Due to this fact, we can consider, at the macroscopic level, the quadratic system of differential equations associated with the interaction and establish an explicit formula for the solution of this system. We moreover apply our results to some models of Econophysics.

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  • Alain B'elanger & Gaston Giroux, 2012. "Information Percolation: Some General Cases with an Application to Econophysics," Papers 1202.5251, arXiv.org.
    • Handle: RePEc:arx:papers:1202.5251
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    References listed on IDEAS

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    1. Darrell Duffie & Gaston Giroux & Gustavo Manso, 2010. "Information Percolation," American Economic Journal: Microeconomics, American Economic Association, vol. 2(1), pages 100-111, February.
    2. 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.
    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. Darrell Duffie & Gustavo Manso, 2007. "Information Percolation in Large Markets," American Economic Review, American Economic Association, vol. 97(2), pages 203-209, May.
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