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We propose a dynamical model for group formation and switching behavior in systems where each group competes for members through attraction functions that are inversely proportional to their current sizes. This attraction is modulated by…

Dynamical Systems · Mathematics 2026-03-12 Samit Ghosh

Human groups show a variety of leadership structures from no leader, to changing leaders, to a single long-term leader. When a leader is deposed, the presence of a power vacuum can mean they are often quickly replaced. We lack an…

Social and Information Networks · Computer Science 2019-10-25 John Bryden , Eric Silverman , Simon T. Powers

Coalition formation is concerned with the question of how to partition a set of agents into disjoint coalitions according to their preferences. Deviating from most of the previous work, we consider an online variant of the problem, where…

Computer Science and Game Theory · Computer Science 2025-03-11 Martin Bullinger , René Romen

Why are online community sizes so extremely unequal? Most answers to this question have pointed to general mathematical processes drawn from physics like cumulative advantage. These explanations provide little insight into specific social…

Computers and Society · Computer Science 2020-06-08 Jeremy Foote , Nathan TeBlunthuis , Benjamin Mako Hill , Aaron Shaw

In this work we study opinion formation in a population participating of a public debate with two distinct choices. We considered three distinct mechanisms of social interactions and individuals' behavior: conformity, nonconformity and…

Physics and Society · Physics 2015-12-11 Nuno Crokidakis , Paulo Murilo Castro de Oliveira

In a previous paper we proposed a model to study the dynamics of opinion formation in human societies by a co-evolution process involving two distinct time scales of fast transaction and slower network evolution dynamics. In the transaction…

Physics and Society · Physics 2012-05-22 Gerardo Iñiguez , Rafael A. Barrio , János Kertész , Kimmo K. Kaski

We study the joint effect of the non-linearity of interactions and noise on coevolutionary dynamics. We choose the coevolving voter model as a prototype framework for this problem. By numerical simulations and analytical approximations we…

Physics and Society · Physics 2020-09-28 Tomasz Raducha , Maxi San Miguel

We consider a class of random, weighted networks, obtained through a redefinition of patterns in an Hopfield-like model and, by performing percolation processes, we get information about topology and resilience properties of the networks…

Statistical Mechanics · Physics 2015-05-30 Elena Agliari , Claudia Cioli , Enore Guadagnini

We focus at the interface between multiscale computations, bifurcation theory and social networks. In particular we address how the Equation-Free approach, a recently developed computational framework, can be exploited to systematically…

Computational Physics · Physics 2015-05-13 A. C. Tsoumanis , C. I. Siettos , I. G. Kevrekidis , G. V. Bafas

The structure and dynamic of social network are largely determined by the heterogeneous interaction activity and social capital allocation of individuals. These features interplay in a non-trivial way in the formation of network and…

This work describes a collective decision-making dynamical process in a multiagent system under the assumption of cooperative higher-order interactions within the community, modeled as a hypernetwork. The nonlinear interconnected system is…

Optimization and Control · Mathematics 2025-09-08 Angela Fontan , Silun Zhang

We present a simple model for growing up and depletion of parties due to the permanent communication between the participants of the events. Because of the rapid exchange of information, everybody is able to evaluate its own and and all…

Physics and Society · Physics 2009-11-11 Marian Brandau , Steffen Trimper

Modularity structures are common in various social and biological networks. However, its dynamical origin remains an open question. In this work, we set up a dynamical model describing the evolution of a social network. Based on the…

Physics and Society · Physics 2011-08-19 Menghui Li , Shuguang Guan , Choy-Heng Lai

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

The idea is advanced that self-organization in complex systems can be treated as decision making (as it is performed by humans) and, vice versa, decision making is nothing but a kind of self-organization in the decision maker nervous…

Adaptation and Self-Organizing Systems · Physics 2014-08-08 V. I. Yukalov , D. Sornette

The cohesion of a social group is the group's tendency to remain united. It has important implications for the stability and survival of social organizations, such as political parties, research teams, or online groups. Empirical studies…

Physics and Society · Physics 2023-01-03 Enrico Maria Fenoaltea , Fanyuan Meng , Run-Ran Liu , Matus Medo

Models of the convergence of opinion in social systems have been the subject of a considerable amount of recent attention in the physics literature. These models divide into two classes, those in which individuals form their beliefs based…

Physics and Society · Physics 2007-05-23 Petter Holme , M. E. J. Newman

The arise of disagreement is an emergent phenomenon that can be observed within a growing social group and, beyond a certain threshold, can lead to group fragmentation. To better understand how disagreement emerges, we introduce an…

Phase transitions in equilibrium and nonequilibrium systems play a major role in the natural sciences. In dynamical networks, phase transitions organize qualitative changes in the collective behavior of coupled dynamical units. Adaptive…

Adaptation and Self-Organizing Systems · Physics 2023-02-22 Jan Fialkowski , Serhiy Yanchuk , Igor M. Sokolov , Eckehard Schöll , Georg A. Gottwald , Rico Berner

Often exhibiting hierarchical and overlapping structures, communities or modular groups are fundamental and complex in network science. One of the most exploited tools to detect the mesoscopic structure is synchronization. Several phenomena…

Physics and Society · Physics 2018-07-05 Ren Ren , Jinliang Shao