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IMA Journal of Management Mathematics
Article . 2025 . Peer-reviewed
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Preprint . 2024
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https://dx.doi.org/10.48550/ar...
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Misaligned incentives in sports: a mathematical analysis of the post-2024 UEFA Champions League qualification

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 14 Apr 2025Embargo end date: 01 Jan 2024 English Publisher:Oxford University Press (OUP)Journal:IMA Journal of Management Mathematics, volume 36, pages 579-591 (issn: 1471-678X, eissn: 1471-6798, Copyright policy )
Authors: László Csató; Sergey Ilyin;

doi: 10.1093/imaman/dpaf016 , 10.48550/arxiv.2406.12636

arXiv: http://arxiv.org/abs/2406.12636

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

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.

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Keywords

Physics - Physics and Society, FOS: Physical sciences, QA75 Electronic computers. Computer science / számítástechnika, számítógéptudomány, Physics and Society (physics.soc-ph), 62F07, 90B90, 91B14

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Top 10%
Average
Average
Green
hybrid