Coronavirus and sports leagues: obtaining a fair ranking when the season cannot resume

@article{Csat2021CoronavirusAS,
  title={Coronavirus and sports leagues: obtaining a fair ranking when the season cannot resume},
  author={L{\'a}szl{\'o} Csat{\'o}},
  journal={Ima Journal of Management Mathematics},
  year={2021}
}
  • L. Csató
  • Published 5 May 2020
  • Economics
  • Ima Journal of Management Mathematics
Abstract Many sports leagues are played in a tightly scheduled round-robin format, leaving a limited time window to postpone matches. If the season cannot resume due to an external shock such as the coronavirus pandemic in 2020, the ranking of the teams becomes non-trivial: it is necessary to account for schedule imbalances and possibly for the different number of matches played. First in the literature, we identify a set of desired axioms for ranking in these incomplete tournaments. It is… 
2 Citations

Tables from this paper

Mathematical models for rescheduling Ecuador's 2020 professional football league season disrupted by COVID-19
The year 2020 saw the world turned upside down by the coronavirus pandemic. Countless human activities were suspended or cancelled as the virus spread across the globe. In this paper, we show how
Forty years of score-based soccer match outcome prediction: an experimental review
TLDR
The results reveal that the individual predictions, as well as the overall performances, are very similar across the top models tested, likely suggesting the limits of this generic approach to score-based match outcome modelling.

References

SHOWING 1-10 OF 74 REFERENCES
A graph interpretation of the least squares ranking method
  • L. Csató
  • Computer Science
    Soc. Choice Welf.
  • 2015
TLDR
The paper aims at analyzing the least squares ranking method for generalized tournaments with possible missing and multiple paired comparisons, and explores the connection between this method and another procedure defined for ranking the nodes in a digraph, the positional power measure.
Switzerland: Palgrave Pivots in Sports Economics
  • 2020
Economics and Mathematical Systems(A
  • Tangian & J. Gruber eds). Berlin-Heidelberg: Springer,
  • 1994
On the ranking of a Swiss system chess team tournament
TLDR
The paper argues for the use of least squares method with a results matrix favouring match points on the basis of its relative insensitivity to the choice between match and board points, retrodictive accuracy, and robustness.
The Probabilistic Final Standing Calculator: a fair stochastic tool to handle abruptly stopped football seasons
TLDR
This paper introduces a tool to calculate in a fairer way the final standings of domestic leagues that have to stop prematurely: the Probabilistic Final Standing Calculator (PFSC), based on a stochastic model taking into account the results of the matches played and simulating the remaining matches, yielding the probabilities for the various possible final rankings.
Tournament Design
Estimation of Final Standings in Football Competitions with Premature Ending: The Case of COVID-19
TLDR
A model-based method that measures the performance of the teams in the matches of the season that have been played and predicts the remaining non-played matches through a paired-comparison model produces more accurate predictions of the true final standings than those based on the incomplete standings.
A mathematical analysis of fairness in shootouts
TLDR
It is shown that, for a sudden death, no repetitive sequence can be fair and the so-called Prohuet–Thue–Morse sequence is not fair, and an algorithm that outputs a fair sequence whenever one exists is found.
Hidden dynamics of soccer leagues: The predictive ‘power’ of partial standings
TLDR
All soccer leagues appear to conform to mathematical laws, which constrain the league standings as the season progresses, which means that partial standings can be used to predict end-of-season league position with reasonable accuracy.
Sharing the Revenues from Broadcasting Sport Events
TLDR
It is shown that hybrid schemes, combining the direct, axiomatic and game-theoretical foundations for two focal rules: the equal-split rule and concede-and-divide yield close outcomes to the current allocation being implemented by the Spanish National Professional Football League Association.
...
...