Monotonicity in sharing the revenues from broadcasting sports leagues

Bergantiños, Gustavo; Moreno‐Ternero, Juan D.

doi:10.1016/j.ejor.2021.05.039

Cited by 19 publications

(4 citation statements)

References 63 publications

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“…For developments in the literature on tournament design, we refer to the survey articles of Wright (2014), Kendall and Lenten (2017), and Lenten and Kendall (2021) and an excellent book of Csató (2021). Recently, Berganti ños and Moreno-Ternero (2020a;b, 2021, 2022ab; initiated axiomatic studies on broadcasting revenue sharing, which is another essential part of money sharing in competitions (e.g., in soccer leagues) using a different informational basis.…”

Section: Literature Overviewmentioning

confidence: 99%

Fair and Consistent Prize Allocation in Competitions

Dietzenbacher

Kondratev²

2023

Management Science

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Given the ranking of competitors, how should the prize endowment be allocated? This paper introduces and axiomatically studies the prize allocation problem. We focus on consistent prize allocation rules satisfying elementary solidarity and fairness principles. In particular, we derive several families of rules satisfying anonymity, order preservation, and endowment monotonicity, which all fall between the equal division rule and the winner-takes-all rule. Our results may help organizers to select the most suitable prize allocation rule for rank-order competitions. This paper was accepted by Manel Baucells, behavioral economics and decision analysis.

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Section: Literature Overviewmentioning

confidence: 99%

Fair and Consistent Prize Allocation in Competitions

Dietzenbacher

Kondratev²

2023

Management Science

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“…In a competition, boxing judges need to closely observe the technical movements of the contestants. Gustavo Bergantiños proposed a method for glove tracking for amateur boxing judges.The results show that the gloves can be tracked accurately [8]. In this work, László Csató proposed a novel sports referee training system based on wearable sensors and a real-time official referee signal (ORS) segmentation/recognition method [9].…”

Section: Introductionmentioning

confidence: 99%

A Comprehensive Statistical Evaluation System for Boxing Referees Based on Convolutional Neural Networks

Chen

2024

Proceedings of the First International Conference on Science, Engineering and Technology Practices for Sustainable Development,

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In boxing, as the referee makes decisions through punting, a referee evaluation system allows for adequate analysis of the vast amount of punting data. The aim of this paper is to study a comprehensive statistical assessment system for boxing referees based on convolutional neural networks. The concept of comprehensive statistical assessment of referees is proposed and a data warehouse for comprehensive statistical assessment of referees is established. A multi-dimensional data query analysis is realised. Development of a video retrieval module for boxing systems using video retrieval technology. LeNet-5 convolutional neural network-based recognition of athlete's punching situation is proposed. The different effects of the learning rate on the recognition effect are then investigated, and it is experimentally demonstrated that the best results are obtained at a learning rate of 0.001.

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“…In the first one, precisely named equal treatment of equals, two teams are considered equal if each time they play a third team the audiences are the same in both games (e.g., Bergantiños and Moreno-Ternero, 2020a). In the second one, named weak equal treatment of equals, an additional condition is imposed to consider two teams as equal: the audiences in the two games played by the two teams (home and away) also coincide (e.g., Bergantiños and Moreno-Ternero, 2022b). In the third one, named symmetry, two teams are considered equal simply when their aggregate audiences in the league coincide (e.g., Bergantiños and Moreno-Ternero, 2021).…”

Section: Introductionmentioning

confidence: 99%

Anonymity in sharing the revenues from broadcasting sports leagues

Bergantiños

Moreno‐Ternero

2023

Ann Oper Res

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We study the problem of sharing the revenues from broadcasting sports leagues axiomatically. Our key axiom is anonymity, the classical impartiality axiom. Other impartiality axioms already studied in broadcasting problems are equal treatment of equals, weak equal treatment of equals and symmetry. We study the relationship between all impartiality axioms. Besides we combine anonymity with other axioms that have been considered in the literature. Some combinations give rise to new characterizations of well-known rules. The family of generalized split rules is characterized with anonymity, additivity and null team. The concede-and-divide rule is characterized with anonymity, additivity and essential team. Other and combinations characterize new rules that had not been considered before. We provide three characterizations in which three axioms are the same (anonymity, additivity, and order preservation) and the fourth one is different (maximum aspirations, weak upper bound, and non-negativity). Depending on the fourth axiom we obtain three different families of rules. In all of them concede-and-divide plays a central role.

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Monotonicity in sharing the revenues from broadcasting sports leagues

Cited by 19 publications

References 63 publications

Fair and Consistent Prize Allocation in Competitions

Fair and Consistent Prize Allocation in Competitions

A Comprehensive Statistical Evaluation System for Boxing Referees Based on Convolutional Neural Networks

Anonymity in sharing the revenues from broadcasting sports leagues

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