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Misaligned incentives in sports : a mathematical analysis of the post-2024 UEFA Champions League qualification

Csató, László ORCID: https://orcid.org/0000-0001-8705-5036 and Ilyin, Sergey (2025) Misaligned incentives in sports : a mathematical analysis of the post-2024 UEFA Champions League qualification. IMA Journal of Management Mathematics . DOI 10.1093/imaman/dpaf016

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Official URL: https://doi.org/10.1093/imaman/dpaf016


Abstract

Union of European Football Associations (UEFA) declares that it is committed to respecting the fundamental values of sports. However, the qualification rules of the post-2024 UEFA Champions League are shown to be unfair: a game with misaligned incentives was narrowly avoided in the 2023/24 German Bundesliga. We develop a mathematical model to reveal how incentives for losing can be reduced or eliminated. Since UEFA repeatedly commits the same theoretical mistake in designing the qualification system of its competitions, governing bodies in sports are called to work more closely together with the scientific community.

Item Type:Article
Uncontrolled Keywords:fairness; incentives; integrity; tournament design; UEFA Champions League
Divisions:Institute of Operations and Decision Sciences
Subjects:Decision making
Mathematics, Econometrics
Funders:National Research, Development and Innovation Office, János Bolyai Research Scholarship
Projects:FK 145838
DOI:10.1093/imaman/dpaf016
ID Code:11215
Deposited By: MTMT SWORD
Deposited On:19 May 2025 08:35
Last Modified:19 May 2025 08:35

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