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

Abstract Accepted by: Phil Scarf The 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.

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Institutions

Publication Details

Journal
IMA Journal of Management Mathematics
Published
2025-04-11
DOI
https://doi.org/10.1093/imaman/dpaf016
Citations
4
Primary Topic
Sports Analytics and Performance
Type
article
Field-Weighted Citation Impact
12.52

Funders

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article

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

S. Ilyin, Łászló Csató
4 citations
IMA Journal of Management Mathematics
Sports Analytics and Performance
12.52
article

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

S. Ilyin, Łászló Csató
article en
4 citations

Abstract

Abstract Accepted by: Phil Scarf The 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.

IMA Journal of Management MathematicsVol. 36(3)
Corvinus University of Budapest (HU), Operation PAR (US), HUN-REN Institute for Computer Science and Control (HU), Decision Sciences (United States) (US), Decision Systems (United States) (US), Research Network (United States) (US)
Magyar Tudományos Akadémia, National Research, Development and Innovation Office
Openalex Percentile: Top 2%
Sports Analytics and Performance
12.52
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Misaligned incentives in sports: a mathematical analysis of the post-2024 UEFA Champions League qualification — S. Ilyin, Łászló Csató · IMA Journal of Management Mathematics (2025) | TGRS Research Map | TGRS