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Diskretnaya Matematika, 2014, Volume 26, Issue 4, Pages 3–14
DOI: https://doi.org/10.4213/dm1299 (Mi dm1299) 		 
This article is cited in 1 scientific paper (total 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
Full-text PDF (499 kB) Citations (1) English version article
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DOI: https://doi.org/10.4213/dm1299
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.
Received: 22.07.2014
English version:
Discrete Mathematics and Applications, 2015, Volume 25, Issue 3, Pages 121–130
DOI: https://doi.org/10.1515/dma-2015-0012
Bibliographic databases:
Document Type: Article
UDC: 519.217.2
Language: Russian
Citation: V. A. Avdeev, “Stationary distribution of the player rating in the Elo model with one adversary”, Diskr. Mat., 26:4 (2014), 3–14; Discrete Math. Appl., 25:3 (2015), 121–130
Citation in format AMSBIB
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\jour Discrete Math. Appl.
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  • https://doi.org/10.4213/dm1299
  • https://www.mathnet.ru/eng/dm/v26/i4/p3
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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    Full-text PDF :344
    References:71
    First page:52
     
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