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During the last twenty years, a lot of research was conducted on the sport elimination problem: Given a sports league and its remaining matches, we have to decide whether a given team can still possibly win the competition, i.e., place…

Computational Complexity · Computer Science 2016-05-11 Stefan Neumann , Andreas Wiese

Humans are routinely asked to evaluate the performance of other individuals, separating success from failure and affecting outcomes from science to education and sports. Yet, in many contexts, the metrics driving the human evaluation…

Physics and Society · Physics 2017-12-07 Luca Pappalardo , Paolo Cintia , Dino Pedreschi , Fosca Giannotti , Albert-Laszlo Barabasi

Institutions and investors face the constant challenge of making accurate decisions and predictions regarding how best they should distribute their endowments. The problem of achieving an optimal outcome at minimal cost has been extensively…

Multiagent Systems · Computer Science 2021-02-09 Theodor Cimpeanu , Cedric Perret , The Anh Han

This paper discusses legal developments in Europe and the Netherlands. Recent decisions show that European data protection law, or privacy law, applies to behavioral targeting in most cases. Dutch law explicitly presumes that data…

Computers and Society · Computer Science 2026-01-16 Frederik Zuiderveen Borgesius

Envy-freeness has become the cornerstone of fair division research. In settings where each individual is allocated a disjoint share of collective resources, it is a compelling fairness axiom which demands that no individual strictly prefer…

Computer Science and Game Theory · Computer Science 2024-10-07 Soroush Ebadian , Rupert Freeman , Nisarg Shah

The non-scientific event of a soccer match is analysed on a strictly scientific level. The analysis is based on the recently introduced concept of a team fitness (Eur. Phys. J. B 67, 445, 2009) and requires the use of finite-size scaling. A…

Data Analysis, Statistics and Probability · Physics 2010-03-03 Andreas Heuer , Christian Mueller , Oliver Rubner

The use of algorithmic decision making systems in domains which impact the financial, social, and political well-being of people has created a demand for these decision making systems to be "fair" under some accepted notion of equity. This…

Multiagent Systems · Computer Science 2021-12-07 Andrew Estornell , Sanmay Das , Yang Liu , Yevgeniy Vorobeychik

Competitive balance in a football league is extremely important from the perspective of economic growth of the industry. Many researchers have earlier proposed different measures of competitive balance, which are primarily adapted from the…

Applications · Statistics 2021-02-19 Soudeep Deb

Common knowledge is crucial for safe group coordination. In its absence, humans must rely on shared knowledge, which is inherently limited in depth and therefore prone to coordination failures, because any finite-order knowledge attribution…

Multiagent Systems · Computer Science 2025-11-12 Thomas Bolander , Robin Engelhardt , Thomas S. Nicolet

Sports data has become widely available in the recent past. With the improvement of machine learning techniques, there have been attempts to use sports data to analyze not only the outcome of individual games but also to improve insights…

Artificial Intelligence · Computer Science 2020-07-21 Ashwin Vaswani , Rijul Ganguly , Het Shah , Sharan Ranjit S , Shrey Pandit , Samruddhi Bothara

Soccer is a sparse rewarding game: any smart or careless action in critical situations can change the result of the match. Therefore players, coaches, and scouts are all curious about the best action to be performed in critical situations,…

Machine Learning · Computer Science 2021-09-15 Pegah Rahimian , Afshin Oroojlooy , Laszlo Toka

We study statistics of the knockout tournament, where only the winner of a fixture progresses to the next. We assign a real number called competitiveness to each contestant and find that the resulting distribution of prize money follows a…

Physics and Society · Physics 2014-01-09 Seung Ki Baek , Il Gu Yi , Hye Jin Park , Beom Jun Kim

Utilitarian games such as dictator games to measure fairness have been studied in the social sciences for decades. These games have given us insight into not only how humans view fairness but also in what conditions the frequency of…

Artificial Intelligence · Computer Science 2024-02-12 Jazmia Henry

Governing authorities in sports often make changes to rules and regulations to increase competitiveness. One such change was made by the English Football Association in 1981 when it changed the rule for awarding points in the domestic…

General Economics · Economics 2025-10-20 Ajay Sharma

In addition to reproducing discriminatory relationships in the training data, machine learning systems can also introduce or amplify discriminatory effects. We refer to this as introduced unfairness, and investigate the conditions under…

Machine Learning · Computer Science 2022-02-24 Carolyn Ashurst , Ryan Carey , Silvia Chiappa , Tom Everitt

As Machine Learning (ML) systems becomes more ubiquitous, ensuring the fair and equitable application of their underlying algorithms is of paramount importance. We argue that one way to achieve this is to proactively cultivate public…

Computers and Society · Computer Science 2020-04-22 Eric Chu , Nabeel Gillani , Sneha Priscilla Makini

Since March 2020, the environment surrounding football has changed dramatically because of the COVID-19 pandemic. After a few months' break, re-scheduled matches were held behind closed doors without spectators. The main objective of this…

Applications · Statistics 2021-03-09 Eiji Konaka

The sequence of moves in a dynamic team tournament may distort the ex-ante winning probabilities and harm efficiency. This paper compares seven soccer penalty shootout rules that determine the kicking order, from a theoretical perspective.…

Computer Science and Game Theory · Computer Science 2023-02-24 László Csató , Dóra Gréta Petróczy

In sports competitions, teams can manipulate the result by, for instance, throwing games. We show that we can decide how to manipulate round robin and cup competitions, two of the most popular types of sporting competitions in polynomial…

Artificial Intelligence · Computer Science 2012-04-18 Tyrel Russell , Toby Walsh

We investigated the temporal distribution of goals in soccer using event-level data from 3,433 matches across 21 leagues and competitions. Contrary to the prevailing notion of randomness, we found that the probability of a goal being scored…