English

On the Probability of Magnus Carlsen reaching 2900

Applications 2022-08-23 v1 Probability

Abstract

How likely is it that Magnus Carlsen will achieve an Elo rating of 29002900? This has been a goal of Magnus and is of great current interest to the chess community. Our paper uses probabilistic methods to address this question. The probabilistic properties of Elo's rating system have long been studied, and we provide an application of such methods. By applying a Brownian motion model of Stern as a simple tool we provide answers. Our research also has fundamental bearing on the choice of the KK-factor used in Elo's system for GrandMaster (GM) chess play. Finally, we conclude with a discussion of policy issues involved with the choice of KK-factor.

Keywords

Cite

@article{arxiv.2208.09563,
  title  = {On the Probability of Magnus Carlsen reaching 2900},
  author = {Sohan Bendre and Shiva Maharaj and Nick Polson and Vadim Sokolov},
  journal= {arXiv preprint arXiv:2208.09563},
  year   = {2022}
}