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Stationary distribution of the player rating in the Elo model with one adversary
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Vadim A. Avdeev
Published/Copyright:
June 10, 2015
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.
Received: 2014-7-22
Published Online: 2015-6-10
Published in Print: 2015-6-1
© 2015 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- Frontmatter
- Stationary distribution of the player rating in the Elo model with one adversary
- On the length of functions of κ-valued logic in the class of polynomial normal forms modulo κ
- Limit theorem for multitype critical branching process evolving in random environment
- An estimate of the approximation accuracy in B. A. Sevastyanov’s limit theorem and its application in the problem of random inclusions
- Investigation of the cryptosystem MST3 based on a Suzuki 2-group
- Images of subset of finite set under iterations of random mappings
Keywords for this article
models of rating systems;
Markov chain;
iterated function systems;
limit distributions
Articles in the same Issue
- Frontmatter
- Stationary distribution of the player rating in the Elo model with one adversary
- On the length of functions of κ-valued logic in the class of polynomial normal forms modulo κ
- Limit theorem for multitype critical branching process evolving in random environment
- An estimate of the approximation accuracy in B. A. Sevastyanov’s limit theorem and its application in the problem of random inclusions
- Investigation of the cryptosystem MST3 based on a Suzuki 2-group
- Images of subset of finite set under iterations of random mappings
