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Local contractivity of the process of a player rating variation in the Elo model with one adversary
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Vadim A. Avdeev
Published/Copyright:
December 8, 2015
Abstract
We study the process of variation of a player rating in an infinite series of games with the same adversary in the Elo rating model. This process is shown to have a stationary distribution, an upper estimate of the rate of convergence to which is established. In a previous paper by the author, the existence of a limit distribution was proved under more stringent assumptions on the parameters of a rating model.
Keywords : Markov chains; iterated function system; limit distributions; local contractivity; models of rating systems
Received: 2014-11-11
Published Online: 2015-12-8
Published in Print: 2015-10-1
© 2015 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- Frontmatter
- On groups of even orders with automorphisms generating recurrent sequences of the maximal period
- Local contractivity of the process of a player rating variation in the Elo model with one adversary
- On regular hypergraphs with high girth and high chromatic number
- On repetitions of long tuples in a Markov chain
- Automorphism-extendable modules
- On read-once transformations of random variables over finite fields
Keywords for this article
Markov chains;
iterated function system;
limit distributions;
local contractivity;
models of rating systems
Articles in the same Issue
- Frontmatter
- On groups of even orders with automorphisms generating recurrent sequences of the maximal period
- Local contractivity of the process of a player rating variation in the Elo model with one adversary
- On regular hypergraphs with high girth and high chromatic number
- On repetitions of long tuples in a Markov chain
- Automorphism-extendable modules
- On read-once transformations of random variables over finite fields
