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Club coefficients in the UEFA Champions League: Time for shift to an Elo-based formula

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  • L'aszl'o Csat'o

Abstract

One of the most popular club football tournaments, the UEFA Champions League, will see a fundamental reform from the 2024/25 season: the traditional group stage will be replaced by one league where each of the 36 teams plays eight matches. To guarantee that the opponents of the clubs are of the same strength in the new design, it is crucial to forecast the performance of the teams before the tournament as well as possible. This paper investigates whether the currently used rating of the teams, the UEFA club coefficient, can be improved by taking the games played in the national leagues into account. According to our logistic regression models, a variant of the Elo method provides a higher accuracy in terms of explanatory power in the Champions League matches. The Union of European Football Associations (UEFA) is encouraged to follow the example of the FIFA World Ranking and reform the calculation of the club coefficients in order to avoid unbalanced schedules in the novel tournament format of the Champions League.

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  • L'aszl'o Csat'o, 2023. "Club coefficients in the UEFA Champions League: Time for shift to an Elo-based formula," Papers 2304.09078, arXiv.org, revised Oct 2023.
    • Handle: RePEc:arx:papers:2304.09078
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    1. László Csató, 2019. "UEFA Champions League Entry Has Not Satisfied Strategyproofness in Three Seasons," Journal of Sports Economics, , vol. 20(7), pages 975-981, October.
    2. László Csató, 2020. "The UEFA Champions League seeding is not strategy-proof since the 2015/16 season," Annals of Operations Research, Springer, vol. 292(1), pages 161-169, September.
    3. László Csató, 2013. "Ranking by pairwise comparisons for Swiss-system tournaments," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 21(4), pages 783-803, December.
    4. Szczecinski Leszek & Djebbi Aymen, 2020. "Understanding draws in Elo rating algorithm," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 16(3), pages 211-220, September.
    5. Baker, Rose D. & McHale, Ian G., 2018. "Time-varying ratings for international football teams," European Journal of Operational Research, Elsevier, vol. 267(2), pages 659-666.
    6. Bryson, Alex & Dolton, Peter & Reade, J. James & Schreyer, Dominik & Singleton, Carl, 2021. "Causal effects of an absent crowd on performances and refereeing decisions during Covid-19," Economics Letters, Elsevier, vol. 198(C).
    7. Jeroen Schokkaert & Johan Swinnen, 2016. "Uncertainty of Outcome Is Higher in the Champions League Than in the European Cup," Journal of Sports Economics, , vol. 17(2), pages 115-147, February.
    8. Roberto Gásquez & Vicente Royuela, 2016. "The Determinants of International Football Success: A Panel Data Analysis of the Elo Rating," Social Science Quarterly, Southwestern Social Science Association, vol. 97(2), pages 125-141, June.
    9. Peter-J. Jost, 2021. "Competitive Balance and the Away Goals Rule During Extra Time," Journal of Sports Economics, , vol. 22(7), pages 823-863, October.
    10. Lasek, Jan & Gagolewski, Marek, 2021. "Interpretable sports team rating models based on the gradient descent algorithm," International Journal of Forecasting, Elsevier, vol. 37(3), pages 1061-1071.
    11. Hvattum, Lars Magnus & Arntzen, Halvard, 2010. "Using ELO ratings for match result prediction in association football," International Journal of Forecasting, Elsevier, vol. 26(3), pages 460-470, July.
    12. Sebastián Cea & Guillermo Durán & Mario Guajardo & Denis Sauré & Joaquín Siebert & Gonzalo Zamorano, 2020. "An analytics approach to the FIFA ranking procedure and the World Cup final draw," Annals of Operations Research, Springer, vol. 286(1), pages 119-146, March.
    13. Marek M. Kaminski, 2022. "How Strong Are Soccer Teams? The “Host Paradox” and Other Counterintuitive Properties of FIFA’s Former Ranking System," Games, MDPI, vol. 13(2), pages 1-22, March.
    14. Corona, Francisco & Forrest, David & Tena, J.D. & Wiper, Michael, 2019. "Bayesian forecasting of UEFA Champions League under alternative seeding regimes," International Journal of Forecasting, Elsevier, vol. 35(2), pages 722-732.
    15. Szczecinski Leszek, 2022. "G-Elo: generalization of the Elo algorithm by modeling the discretized margin of victory," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 18(1), pages 1-14, March.
    16. Rose D. Baker & Ian G. McHale, 2015. "Time varying ratings in association football: the all-time greatest team is.," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 178(2), pages 481-492, February.
    17. Dagaev Dmitry & Rudyak Vladimir Yu., 2019. "Seeding the UEFA Champions League participants: evaluation of the reforms," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 15(2), pages 129-140, June.
    18. Francisco J. Bahamonde-Birke & Ramón Andrés Bahamonde-Birke, 2023. "About the “Away Goals Rule†in Association Football. Does Scrapping the Rule Increase the Fairness of the Game?," Journal of Sports Economics, , vol. 24(3), pages 310-328, April.
    19. Oliver Engist & Erik Merkus & Felix Schafmeister, 2021. "The Effect of Seeding on Tournament Outcomes: Evidence From a Regression-Discontinuity Design," Journal of Sports Economics, , vol. 22(1), pages 115-136, January.
    20. László Csató, 2017. "On the ranking of a Swiss system chess team tournament," Annals of Operations Research, Springer, vol. 254(1), pages 17-36, July.
    21. Francisco Triguero‐Ruiz & Antonio Avila‐Cano, 2023. "On competitive balance in the group stage of the UEFA Champions League," Scottish Journal of Political Economy, Scottish Economic Society, vol. 70(3), pages 231-248, July.
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