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We investigate the collective behavior of a system of social agents subject to the competition between two mass media influences considered as external fields. We study under what conditions either of two mass media with different…

Physics and Society · Physics 2024-05-09 O. Alvarez-Llamoza , M. G. Cosenza , J. C. Gonzalez-Avella , M. A. Suarez , K. Tucci , P. Valverde

Group recommendation aims at providing optimized recommendations tailored to diverse groups, enabling groups to enjoy appropriate items. On the other hand, most existing group recommendation methods are built upon deep neural network (DNN)…

Information Retrieval · Computer Science 2025-02-14 Chae-Hyun Kim , Yoon-Ryung Choi , Jin-Duk Park , Won-Yong Shin

We study how zealotry and nonlinear social impact affect consensus formation in the nonlinear voter model, evolutionary games, and the partisan voter model. In all three models, consensus is an absorbing state in finite populations, while…

Physics and Society · Physics 2025-08-28 Christopher R. Kitching , Lucía S. Ramirez , Maxi San Miguel , Tobias Galla

Emergent collective group processes and capabilities have been studied through analysis of transactive memory, measures of group task performance, and group intelligence, among others. In their approach to collective behaviors, these…

Physics and Society · Physics 2019-01-01 Yaneer Bar-Yam , David Kantor

A recently proposed graph-theoretic metric, the influence gap, has shown to be a reliable predictor of the effect of social influence in two-party elections, albeit only tested on regular and scale-free graphs. Here, we investigate whether…

Social and Information Networks · Computer Science 2022-02-09 Jacques Bara , Omer Lev , Paolo Turrini

The real world is awash with multi-agent problems that require collective action by self-interested agents, from the routing of packets across a computer network to the management of irrigation systems. Such systems have local incentives…

Multiagent Systems · Computer Science 2021-02-16 Michiel A. Bakker , Richard Everett , Laura Weidinger , Iason Gabriel , William S. Isaac , Joel Z. Leibo , Edward Hughes

In statistical network analysis it is common to observe so called interaction data. Such data is characterized by actors forming the vertices and interacting along edges of the network, where edges are randomly formed and dissolved over the…

Methodology · Statistics 2024-07-15 Alexander Kreiss , Enno Mammen , Wolfgang Polonik

We consider a modification of the voter model in which a set of interacting elements (agents) can be in either of two equivalent states (A or B) or in a third additional mixed AB state. The model is motivated by studies of language…

Physics and Society · Physics 2007-09-10 Xavier Castelló , Víctor M. Eguíluz , Maxi San Miguel

We introduce the reputational voter model (RVM) to account for the time-varying abilities of individuals to influence their neighbors. To understand of the RVM, we first discuss the fitness voter model (FVM), in which each voter has a fixed…

Physics and Society · Physics 2019-06-25 D. Bhat , S. Redner

In many domains of life, business and management, numerous problems are addressed by small groups of individuals engaged in face-to-face discussions. While research in social psychology has a long history of studying the determinants of…

Physics and Society · Physics 2018-02-07 Mehdi Moussaid , Alejandro Noriega Campero , Abdullah Almaatouq

While Large Language Models (LLMs) have been extensively tested in dyadic game-theoretic scenarios, their collective behavior within complex network games remains surprisingly unexplored. To bridge this gap, we present NetworkGames, a…

Physics and Society · Physics 2026-04-10 Xuan Qiu

We study the dynamics of the voter and Moran processes running on top of complex network substrates where each edge has a weight depending on the degree of the nodes it connects. For each elementary dynamical step the first node is chosen…

Statistical Mechanics · Physics 2011-06-30 Andrea Baronchelli , Claudio Castellano , Romualdo Pastor-Satorras

The stochastic dynamics of the multi-state voter model is investigated on a class of complex networks made of non-overlapping cliques, each hosting a political candidate and interacting with the others via Erd\H{o}s-R\'enyi links. Numerical…

Physics and Society · Physics 2014-06-10 Filippo Palombi , Simona Toti

Many real systems are strongly characterized by collective cooperative phenomena whose existence and properties still need a satisfactory explanation. Coherently with their collective nature, they call for new and more accurate descriptions…

Physics and Society · Physics 2020-07-30 Giulio Burgio , Joan T. Matamalas , Sergio Gómez , Alex Arenas

Consideration was given to a model of social dynamics controlled by successive collective decisions based on the threshold majority procedures. The current system state is characterized by the vector of participants' capitals (utilities).…

Optimization and Control · Mathematics 2009-02-27 V. I. Borzenko , Z. M. Lezina , A. K. Loginov , Ya. Yu. Tsodikova , P. Yu. Chebotarev

Many processes, from gene interaction in biology to computer networks to social media, can be modeled more precisely as temporal hypergraphs than by regular graphs. This is because hypergraphs generalize graphs by extending edges to connect…

Human-Computer Interaction · Computer Science 2021-05-12 Maximilian T. Fischer , Devanshu Arya , Dirk Streeb , Daniel Seebacher , Daniel A. Keim , Marcel Worring

Non-linear voter models assume that the opinion of an agent depends on the opinions of its neighbors in a non-linear manner. This allows for voting rules different from majority voting. While the linear voter model is known to reach…

Physics and Society · Physics 2016-04-27 Frank Schweitzer , Laxmidhar Behera

In the face of adverse motives, it is indispensable to achieve a consensus. Elections have been the canonical way by which modern democracy has operated since the 17th century. Nowadays, they regulate markets, provide an engine for modern…

Machine Learning · Computer Science 2026-01-06 Hao Xiang Li , Yash Shah , Lorenzo Giusti

We study the ordering dynamics of nonlinear voter models with multiple states, also providing a discussion of the two-state model. The rate with which an individual adopts an opinion scales as the $q$-th power of the number of the…

Physics and Society · Physics 2023-11-01 Lucía Soledad Ramirez , Federico Vazquez , Maxi San Miguel , Tobias Galla

We consider two-opinion voter models on dense dynamic random graphs. Our goal is to understand and describe the occurrence of consensus versus polarisation over long periods of time. The former means that all vertices have the same opinion,…

Probability · Mathematics 2024-10-29 Simone Baldassarri , Peter Braunsteins , Frank den Hollander , Michel Mandjes
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