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We introduce a new measure to capture fairness of a schedule in a single round robin (SRR) tournament when participants are ranked by strength. To prevent distortion of the outcome of an SRR tournament as well as to guarantee equal…

Combinatorics · Mathematics 2025-02-07 Sten Wessel , Cor Hurkens , Frits Spieksma

In cognitive sciences it is not uncommon to use various games effectively. For example, in artificial intelligence, the RoboCup initiative was to set up to catalyse research on the field of autonomous agent technology. In this paper, we…

Artificial Intelligence · Computer Science 2012-11-14 N. Bátfai

With an exploding global market and the recent introduction of online cash prize tournaments, fantasy sports contests are quickly becoming a central part of the social gaming and sports industries. For sports fans and online media…

Data Structures and Algorithms · Computer Science 2016-11-07 Christopher Musco , Maxim Sviridenko , Justin Thaler

In this paper, the new two stage and postseason system of J1 League, the top division of professional football in Japan, is simulated. Official regulation defines that the new postseason from the 2015 season consists of five teams selected…

Applications · Statistics 2014-12-24 Takeshi Izumi , Eiji Konaka

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…

Physics and Society · Physics 2007-05-23 E. Ben-Naim , F. Vazquez , S. Redner

This document focuses on modeling a complex situations to achieve an advantage within a competitive context. Our goal is to devise the characteristics of games to teach and exercise non-easily quantifiable tasks crucial to the math-modeling…

Artificial Intelligence · Computer Science 2021-09-23 Gerardo L. Febres

We present a new way of estimation of the role of chance in achieving success, by comparing the empirical data from 100-meter dash competitions (one of the sports disciplines with the most stringent controls of external randomness), with…

Physics and Society · Physics 2020-08-26 Pawel Sobkowicz , Robert H Frank , Alessio E Biondo , Alessandro Pluchino , Andrea Rapisarda

The development of athletic humanoid robots has gained significant attention as advances in actuation, sensing, and control enable increasingly dynamic, real-world capabilities. RoboCup, an international competition of fully autonomous…

In the last round of the FIFA World Cup group stage, games for which the outcome does not affect the selection of the qualified teams are played with little enthusiasm. Furthermore, a team that has already qualified may take into account…

Applications · Statistics 2021-02-04 Mario Chater , Luc Arrondel , Jean-Pascal Gayant , Jean-François Laslier

Simulators are a critical component of modern robotics research. Strategies for both perception and decision making can be studied in simulation first before deployed to real world systems, saving on time and costs. Despite significant…

Machine Learning · Computer Science 2020-11-19 Bhairav Mehta , Ankur Handa , Dieter Fox , Fabio Ramos

In this work, we extended a stochastic model for football leagues based on the team's potential [R. da Silva et al. Comput. Phys. Commun. \textbf{184} 661--670 (2013)] for making predictions instead of only performing a successful…

Physics and Society · Physics 2022-06-08 Eduardo V. Stock , Roberto da Silva , Henrique A. Fernandes

While PageRank has been extensively used to rank sport tournament participants (teams or individuals), its superiority over simpler ranking methods has been never clearly demonstrated. We use sports results from 18 major leagues to…

Social and Information Networks · Computer Science 2020-12-14 Yuhao Zhou , Ruijie Wang , Yi-Cheng Zhang , An Zeng , Matúš Medo

Research communities have developed benchmark datasets across domains to compare the performance of algorithms and techniques However, tracking the progress in these research areas is not easy, as publications appear in different venues at…

Artificial Intelligence · Computer Science 2025-07-24 Zhe Chen , Daniel Harabor , Ryan Hechnenberger , Nathan R. Sturtevant

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…

Data Analysis, Statistics and Probability · Physics 2007-05-23 E. Ben-Naim , F. Vazquez , S. Redner

Competitive programming (CP) contests are often treated as interchangeable proxies for algorithmic skill, yet the extent to which results at lower contest tiers anticipate performance at higher tiers, and how closely any tier resembles the…

Computers and Society · Computer Science 2025-05-08 Zhongtang Luo , Ethan Dickey

We introduce the model of line-up elections which captures parallel or sequential single-winner elections with a shared candidate pool. The goal of a line-up election is to find a high-quality assignment of a set of candidates to a set of…

Computer Science and Game Theory · Computer Science 2020-07-10 Niclas Boehmer , Robert Bredereck , Piotr Faliszewski , Andrzej Kaczmarczyk , Rolf Niedermeier

This letter compares the performance of four different, popular simulation environments for robotics and reinforcement learning (RL) through a series of benchmarks. The benchmarked scenarios are designed carefully with current industrial…

Robotics · Computer Science 2021-03-09 Marian Körber , Johann Lange , Stephan Rediske , Simon Steinmann , Roland Glück

We describe a round robin scheduling problem for a competition played in two divisions, motivated by a scheduling problem brought to the second author by a local sports organisation. The first division has teams from 2n clubs, and is played…

Combinatorics · Mathematics 2015-08-17 Wayne Burrows , Christopher Tuffley

For the 2024/25 season, the Union of European Football Associations (UEFA) introduced an incomplete round-robin format in the Champions League and Europa League, replacing the traditional group stage with a single league table of all 36…

General Economics · Economics 2026-04-20 David Winkelmann , Rouven Michels , Christian Deutscher

A fair and fast matchmaking system is an important component of modern multiplayer online games, directly impacting player retention and satisfaction. However, creating fair matches between lobbies (pre-made teams) of heterogeneous skill…

Artificial Intelligence · Computer Science 2026-02-20 Saurav Pal