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We study the effects of randomness on competitions based on an elementary random process in which there is a finite probability that a weaker team upsets a stronger team. We apply this model to sports leagues and sports tournaments, and…

物理与社会 · 物理学 2013-04-02 E. Ben-Naim , N. W. Hengartner , S. Redner , F. Vazquez

Predicting the outcome of sports events is a hard task. We quantify this difficulty with a coefficient that measures the distance between the observed final results of sports leagues and idealized perfectly balanced competitions in terms of…

机器学习 · 计算机科学 2017-11-27 Raquel YS Aoki , Renato M Assuncao , Pedro OS Vaz de Melo

Inefficient markets allow investors to consistently outperform the market. To demonstrate that inefficiencies exist in sports betting markets, we created a betting algorithm that generates above market returns for the NFL, NBA, NCAAF,…

综合经济学 · 经济学 2019-10-24 Sathya Ramesh , Ragib Mostofa , Marco Bornstein , John Dobelman

In recent years excessive monetization of football and professionalism among the players has been argued to have affected the quality of the match in different ways. On the one hand, playing football has become a high-income profession and…

物理与社会 · 物理学 2023-01-05 Victor Martins Maimone , Taha Yasseri

Competitive systems can exhibit both hierarchical (transitive) and cyclic (intransitive) structures. Despite theoretical interest in cyclic competition, which offers richer dynamics, and occupies a larger subset of the space of possible…

种群与进化 · 定量生物学 2022-05-18 Christopher Cebra , Alexander Strang

High performance machine learning models have become highly dependent on the availability of large quantity and quality of training data. To achieve this, various central agencies such as the government have suggested for different data…

机器学习 · 计算机科学 2019-11-27 Zhiliang Chen

Statistical applications in sports have long centered on how to best separate signal (e.g. team talent) from random noise. However, most of this work has concentrated on a single sport, and the development of meaningful cross-sport…

应用统计 · 统计学 2017-11-23 Michael J. Lopez , Gregory J. Matthews , Benjamin S. Baumer

In a market system, regulations are designed to prevent or rectify market failures that inhibit fair exchange, such as monopoly or transactions with hidden costs. Because regulations reduce profits to those possessing unfair advantage,…

综合金融 · 定量金融 2013-10-02 Dominic K. Albino , Anzi Hu , Yaneer Bar-Yam

Ladder tournaments are widely used to rank individuals in real-world organizations and games. Their mathematical properties however are still poorly understood. We formalize the ranking rule generated by a ladder tournament, and we show…

组合数学 · 数学 2015-07-07 Roland Pongou , Bertrand Tchantcho , Narcisse Tedjeugang

In this study, basketball teams are conceptualized as complex adaptive systems to examine their (re)organizational processes in response the time remaining to shoot. Using temporal passing networks to model team behavior, the focus is on…

离散数学 · 计算机科学 2025-06-06 Quentin Bourgeais , Rodolphe Charrier , Eric Sanlaville , Ludovic Seifert

We present an extensive statistical analysis of the results of all sports competitions in five major sports leagues in England and the United States. We characterize the parity among teams by the variance in the winning fraction from…

物理与社会 · 物理学 2007-05-23 E. Ben-Naim , F. Vazquez , S. Redner

Problem definition: Professional sports leagues may be suspended due to various reasons such as the recent COVID-19 pandemic. A critical question the league must address when re-opening is how to appropriately select a subset of the…

最优化与控制 · 数学 2024-04-02 Ali Hassanzadeh , Mojtaba Hosseini , John G. Turner

We study incentive design when multiple principals simultaneously design mechanisms for their respective teams in environments with strategic spillovers. In this environment, each principal's set of incentive-compatible mechanisms--those…

理论经济学 · 经济学 2026-05-11 Brian Roberson

It is a challenging task to reach global cooperation among self-interested agents, which often requires sophisticated design or usage of incentives. For example, we may apply supervisors or referees who are able to detect and punish…

物理与社会 · 物理学 2024-12-20 Ting Ling , Zhang Li , Minyu Feng , Attila Szolnoki

Understanding the evolution of human social systems requires flexible formalisms for the emergence of institutions. Although game theory is normally used to model interactions individually, larger spaces of games can be helpful for modeling…

物理与社会 · 物理学 2021-08-12 Seth Frey , Curtis Atkisson

Segregation is widespread in all realms of human society. Several influential studies have argued that intolerance is not a prerequisite for a segregated society, and that segregation can arise even when people generally prefer diversity.…

社会与信息网络 · 计算机科学 2016-10-27 Milena Tsvetkova , Olof Nilsson , Camilla Öhman , Lovisa Sumpter , David Sumpter

In many prediction problems, the predictive model affects the distribution of the prediction target. This phenomenon is known as performativity and is often caused by the behavior of individuals with vested interests in the outcome of the…

机器学习 · 统计学 2024-06-03 Seamus Somerstep , Ya'acov Ritov , Yuekai Sun

The availability of massive data about sports activities offers nowadays the opportunity to quantify the relation between performance and success. In this study, we analyze more than 6,000 games and 10 million events in six European leagues…

应用统计 · 统计学 2017-11-17 Luca Pappalardo , Paolo Cintia

Humanity has been fascinated by the pursuit of fortune since time immemorial, and many successful outcomes benefit from strokes of luck. But success is subject to complexity, uncertainty, and change - and at times becoming increasingly…

综合经济学 · 经济学 2019-04-19 Didier Sornette , Spencer Wheatley , Peter Cauwels

Taxation constitutes a fundamental component of modern national economic systems, exerting profound impacts on both societal functioning and governmental operations. In this paper, we employ an interdependent network approach to model the…

物理与社会 · 物理学 2026-04-13 Qin Li , Ting Ling , Minyu Feng , Attila Szolnoki
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