Probabilistic Transitivity in Sports

Tiwisina J, Külpmann P (2014) Center for Mathematical Economics Working Papers; 520.
Bielefeld: Center for Mathematical Economics.

Download
OA 3.21 MB
Working Paper | Published | English
Abstract
We seek to find the statistical model that most accurately describes empirically observed results in sports. The idea of a transitive relation concerning the team strengths is implemented by imposing a set of constraints on the outcome probabilities. We theoretically investigate the resulting optimization problem and draw comparisons to similar problems from the existing literature including the linear ordering problem and the isotonic regression problem. Our optimization problem turns out to be very complicated to solve. We propose a branch and bound algorithm for an exact solution and for larger sets of teams a heuristic method for quickly finding a „good“ solution. Finally we apply the described methods to panel data from soccer, American football and tennis and also use our framework to compare the performance of empirically applied ranking schemes.
Publishing Year
ISSN
PUB-ID

Cite this

Tiwisina J, Külpmann P. Probabilistic Transitivity in Sports. Center for Mathematical Economics Working Papers. Vol 520. Bielefeld: Center for Mathematical Economics; 2014.
Tiwisina, J., & Külpmann, P. (2014). Probabilistic Transitivity in Sports (Center for Mathematical Economics Working Papers, 520). Bielefeld: Center for Mathematical Economics.
Tiwisina, J., and Külpmann, P. (2014). Probabilistic Transitivity in Sports. Center for Mathematical Economics Working Papers, 520, Bielefeld: Center for Mathematical Economics.
Tiwisina, J., & Külpmann, P., 2014. Probabilistic Transitivity in Sports, Center for Mathematical Economics Working Papers, no.520, Bielefeld: Center for Mathematical Economics.
J. Tiwisina and P. Külpmann, Probabilistic Transitivity in Sports, Center for Mathematical Economics Working Papers, vol. 520, Bielefeld: Center for Mathematical Economics, 2014.
Tiwisina, J., Külpmann, P.: Probabilistic Transitivity in Sports. Center for Mathematical Economics Working Papers, 520. Center for Mathematical Economics, Bielefeld (2014).
Tiwisina, Johannes, and Külpmann, Philipp. Probabilistic Transitivity in Sports. Bielefeld: Center for Mathematical Economics, 2014. Center for Mathematical Economics Working Papers. 520.
Main File(s)
File Name
Access Level
OA Open Access
Last Uploaded
2016-04-14T14:05:44Z

This data publication is cited in the following publications:
This publication cites the following data publications:

Export

0 Marked Publications

Open Data PUB

Search this title in

Google Scholar