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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…

物理与社会 · 物理学 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…

混沌动力学 · 物理学 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…

物理与社会 · 物理学 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…

计算机科学与博弈论 · 计算机科学 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…

理论经济学 · 经济学 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…

社会与信息网络 · 计算机科学 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,…

物理与社会 · 物理学 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…

物理与社会 · 物理学 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,…

信息检索 · 计算机科学 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…

社会与信息网络 · 计算机科学 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…

社会与信息网络 · 计算机科学 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…

偏微分方程分析 · 数学 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…

物理与社会 · 物理学 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…

数据分析、统计与概率 · 物理学 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…

计算机科学与博弈论 · 计算机科学 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…

物理与社会 · 物理学 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…

计算机与社会 · 计算机科学 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…

综合经济学 · 经济学 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…

种群与进化 · 定量生物学 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…

人工智能 · 计算机科学 2024-12-17 Xingchen Xu , Stephanie Lee , Yong Tan