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On the fairness of single round-robin tournaments: Evidence from European football

László Csató, Diána Ivett Fűrész, Zsolt Havran

arXiv 15 Oct 2026 · Econometrics

arXiv:2610.21296 · PDF · Extracted main text

Abstract

Single round-robin tournaments are widely regarded as unfair because of their home-away imbalance: some competitors play more home games than the others. Therefore, most sports leagues are played in a double round-robin format. However, some European football leagues contain a single round-robin (sub)tournament. To test whether empirical data can validate their unfairness, we construct a unique database and develop a strength of schedule metric based on Elo ratings with favourable theoretical properties. In contrast to the robust impact of relative team strength, the strength of schedule is found to have no significant effect on the number of points scored under the assumption of a league-specific home advantage. Consequently, the theoretical unfairness is not a serious issue in practice, or the standard approach of modelling home advantage in Elo ratings might need to be reconsidered.

Citation extraction

42
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appendix boundary found by appendix_titled_section at “Appendix” · 93% of the source is main text. Read the extracted text to check this.

Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Wessel, S., Hurkens, C., and Spieksma, F (2026) Fair schedules for single round robin tournaments with ranked participants1.00054100%
2Csató, L. and Krumer, A (2026) Swiss-system chess tournaments and unfairness0.64422100%
3Rasmussen, R. V (2008) Scheduling a triple round robin tournament for the best Danish soccer league0.64422100%
4Goossens, D. and Spieksma, F. C. R (2012) Soccer schedules in Europe: An overview0.5112250%
5van Ours, J. C (2024) Nontransitive patterns in long-term football rivalries0.51121100%
6Bosker, J. and Gürtler, M (2024) The impact of cultural differences on the success of elite labor migration–-Evidence from professional soccer0.40511100%
7Csató, L (2022) Quantifying incentive (in)compatibility: A case study from sports0.40511100%
8Csató, L (2022) UEFA against the champions? An evaluation of the recent reform of the Champions League qualification0.40511100%
9Csató, L (2024) Club coefficients in the UEFA Champions League: Time for shift to an Elo-based formula0.40511100%
10Csató, L., Kiss, L. M., and Szádoczki, Zs (2025) The allocation of FIFA World Cup slots based on the ranking of confederations0.40511100%

Showing the top 10 of 42 scored citations.