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Convergence of the quantile admission process with veto power

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  • Feldheim, Naomi Dvora
  • Feldheim, Ohad Noy

Abstract

The quantile admission process with veto power is a stochastic process suggested by Alon, Feldman, Mansour, Oren and Tennenholtz as a model for the evolution of an exclusive social club. Each member is represented by a real number (his opinion). On every round two new candidates, holding i.i.d. μ-distributed opinions, apply for admission. The one whose opinion is minimal is then admitted if the percentage of current members closer in their opinion to his is at least r; otherwise, neither is admitted.

Suggested Citation

  • Feldheim, Naomi Dvora & Feldheim, Ohad Noy, 2020. "Convergence of the quantile admission process with veto power," Stochastic Processes and their Applications, Elsevier, vol. 130(7), pages 4294-4325.
    • Handle: RePEc:eee:spapps:v:130:y:2020:i:7:p:4294-4325
    DOI: 10.1016/j.spa.2019.12.005
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    References listed on IDEAS

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    1. Lorenz, Jan, 2005. "A stabilization theorem for dynamics of continuous opinions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(1), pages 217-223.
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