This article is cited in 1 paper

Stationary distribution of the player rating in the Elo model with one adversary

V. A. Avdeev

M. V. Lomonosov Moscow State University

Abstract: The paper is concerned with the process of fluctuation of the player rating in the Elo model in an infinite series of games with the same adversary. Under some assumptions on the model parameters, this process is shown to have a stationary distribution; its median is found for players of the same skill.

Keywords: models of rating systems, Markov chain, iterated function systems, limit distributions.

UDC: 519.217.2

Received: 22.07.2014

DOI: 10.4213/dm1299

 English version: Discrete Mathematics and Applications, 2015, 25:3, 121–130

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