Convergence of the quantile admission process with veto power

Naomi Dvora Feldheim and Ohad Noy Feldheim

Stochastic Processes and their Applications, 2020, vol. 130, issue 7, 4294-4325

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.

Keywords: Social groups; Admission process; Evolving sets; Random walk in changing environment (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1016/j.spa.2019.12.005

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