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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

We present a dynamical model of web site growth in order to explore the effects of competition among web sites and to determine how they affect the nature of markets. We show that under general conditions, as the competition between sites…

Chaotic Dynamics · Physics 2007-05-23 Sebastian M. Maurer , Bernardo A. Huberman

In this work we use a proven model to study a dynamic duopolistic competition between an old and a new technology which, through improved technical performance - e.g. data transmission capacity - fight in order to conquer market share. The…

Physics and Society · Physics 2019-12-25 G. Filatrella , N. De Liso

One of the fundamental principles driving diversity or homogeneity in domains such as cultural differentiation, political affiliation, and product adoption is the tension between two forces: influence (the tendency of people to become…

Computer Science and Game Theory · Computer Science 2015-10-28 David Kempe , Jon Kleinberg , Sigal Oren , Aleksandrs Slivkins

We model competition on a credence goods market governed by an imperfect label, signaling high quality, as a rank-order tournament between firms. In this market interaction, asymmetric firms jointly and competitively control the aggregate…

Theoretical Economics · Economics 2025-08-28 Daniel Rehsmann , Béatrice Roussillon , Paul Schweinzer

Competition networks are formed via adversarial interactions between actors. The Dynamic Competition Hypothesis predicts that influential actors in competition networks should have a large number of common out-neighbors with many other…

Social and Information Networks · Computer Science 2019-09-17 Anthony Bonato , Nicole Eikmeier , David F. Gleich , Rehan Malik

We examine the effects of memory and different updating paradigms in a game-theoretic model of competitive learning, where agents are influenced in their choice of strategy by both the choices made by, and the consequent success rates of,…

Physics and Society · Physics 2012-01-23 Ajaz Ahmad Bhat , Anita Mehta

In this paper histograms of user ratings for movies (1,...,10) are analysed. The evolving stabilised shapes of histograms follow the rule that all are either double- or triple-peaked. Moreover, at most one peak can be on the central bins…

Physics and Society · Physics 2010-12-07 Jan Lorenz

In this paper, we present a mathematical model to capture various factors which may influence the accuracy of a competitive group recommendation system. We apply this model to peer review systems, i.e., conference or research grants review,…

Information Retrieval · Computer Science 2012-04-13 Hong Xie , John C. S. Lui

The creation and sharing of memes is a common modality of online social interactions. The goal of the present work is to better understand the collective dynamics of memes in this accelerating and competitive environment. By taking an…

Social and Information Networks · Computer Science 2021-02-09 Trenton Ford , Rachel Krohn , Tim Weninger

Ranking algorithms are the information gatekeepers of the Internet era. We develop a stylized model to study the effects of ranking algorithms on opinion dynamics. We consider a search engine that uses an algorithm based on popularity and…

Social and Information Networks · Computer Science 2018-10-18 Fabrizio Germano , Francesco Sobbrio

It is known that the competitive exclusion principle holds for a large kind of models involving several species competing for a single resource in an homogeneous environment. Various works indicate that the coexistence is possible in an…

Analysis of PDEs · Mathematics 2014-07-22 François Castella , Sten Madec , Yvan Lagadeuc

The temporal dynamics of social interactions were shown to influence the spread of disease. Here, we model the conditions of progression and competition for several viral strains, exploring various levels of cross-immunity over temporal…

Physics and Society · Physics 2022-06-14 Alex Abbey , Yuval Shahar , Osnat Mokryn

We investigate the time evolution of the scores of the second most popular sport in world: the game of cricket. By analyzing the scores event-by-event of more than two thousand matches, we point out that the score dynamics is an anomalous…

Data Analysis, Statistics and Probability · Physics 2012-12-27 H. V. Ribeiro , Satyam Mukherjee , Xiao Han T. Zeng

Actionable recourse studies whether individuals can modify feasible features to overturn unfavorable outcomes produced by AI-assisted decision-support systems. However, many such systems operate in competitive settings, such as admission or…

Computer Science and Game Theory · Computer Science 2026-03-19 Ya-Ting Yang , Quanyan Zhu

We analyze access statistics of several popular webpages for a period of several years. The graphs of daily downloads are highly non-homogeneous with long periods of low activity interrupted by bursts of heavy traffic. These bursts are due…

Physics and Society · Physics 2009-11-13 M. V. Simkin , V. P. Roychowdhury

Algorithms that favor popular items are used to help us select among many choices, from engaging articles on a social media news feed to songs and books that others have purchased, and from top-raked search engine results to highly-cited…

Computers and Society · Computer Science 2026-05-19 Azadeh Nematzadeh , Giovanni Luca Ciampaglia , Filippo Menczer , Alessandro Flammini

Crowdsourcing has evolved as an organizational approach to distributed problem solving and innovation. As contests are embedded in online communities and evaluation rights are assigned to the crowd, community members face a tension: they…

General Economics · Economics 2024-04-23 Christoph Riedl , Tom Grad , Christopher Lettl

Resource competition is a fundamental interaction in natural communities.However little is known about competition in spatial environments where organisms are able to regulate resource distributions. Here, we analyze the competition of two…

Populations and Evolution · Quantitative Biology 2011-02-24 Alexei B. Ryabov , Bernd Blasius

Recent scholarly work has extensively examined the phenomenon of algorithmic collusion driven by AI-enabled pricing algorithms. However, online platforms commonly deploy recommender systems that influence how consumers discover and purchase…

Artificial Intelligence · Computer Science 2024-12-17 Xingchen Xu , Stephanie Lee , Yong Tan