Abstract
The paper presents a new way of modeling the human performance in two player games using a rating system based on Kelly Criterion which is often utilized for gambling and financial engineering. The advantage of the proposed system is the ability to assess playing strength based on both the final outcome of the game and the style of play. The last aspect of the rating assessment system is novel compared to the rating systems developed so far (like ELO, Bradley-Terry, etc.). Another advantage of the proposed method is the tackling of the problem of drawn games. To the very best authors knowledge the approach presented below is a relatively new look at the problem of playing strength assessment based on probability theory. The paper presents and discusses few illustrative examples.
Keywords
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Bradley, R.A., Terry, M.: The rank analysis of incomplete block designs. 1. the method of paired comparisons. Biometrika 39 (1952)
Elo, A.E.: The rating of chess players past and present. Arco Publishing, New York (1978)
Kelly Jr., J.: A new interpretation of information rate. Bell System Technical Journal 35 (1956)
Thorp, E.O.: The kelly criterion in black jack, sports betting, and the stock market. In: The 10th International Conference on Gambling and Risk Taking (1997)
Shannon, C.E.: A mathemtical theory of communication. B.S.T.J. 27 (1948)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer Berlin Heidelberg
About this paper
Cite this paper
Lopatka, R., Dzielinski, A. (2007). Modeling Human Performance in Two Player Zero Sum Games Using Kelly Criterion. In: Beliczynski, B., Dzielinski, A., Iwanowski, M., Ribeiro, B. (eds) Adaptive and Natural Computing Algorithms. ICANNGA 2007. Lecture Notes in Computer Science, vol 4431. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71618-1_46
Download citation
DOI: https://doi.org/10.1007/978-3-540-71618-1_46
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71589-4
Online ISBN: 978-3-540-71618-1
eBook Packages: Computer ScienceComputer Science (R0)