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Network homophily, the tendency of similar nodes to be connected, and transitivity, the tendency of two nodes being connected if they share a common neighbor, are conflated properties in network analysis, since one mechanism can drive the…

Social and Information Networks · Computer Science 2022-01-07 Tiago P. Peixoto

This paper studies the signed networks in the presence of stubborn links, based on the structural balance theory. Each agent in the network has a mixture of positive and negative links represent friendly and antagonistic interactions and…

Physics and Society · Physics 2019-07-02 Somaye Sheykhali , Amir Hossein Darooneh , Gholam Reza Jafari

This paper proposes an adaptation mechanism for heterogeneous multi-agent systems to align the agents' internal parameters, based on enforced consensus through strong couplings. Unlike homogeneous systems, where exact consensus is…

Systems and Control · Electrical Eng. & Systems 2025-09-08 Hyungbo Shim , Jin Gyu Lee , B. D. O. Anderson

We examine a weighted-network multi-agent model with preferential selection such that agents choose partners with the probability $p(w)$, where $w$ is the number of their past selections. When $p(w)$ increases sublinearly with the number of…

Physics and Society · Physics 2015-06-19 Adam Lipowski , Dorota Lipowska , Antonio Luis Ferreira

Group interactions occur frequently in social settings, yet their properties beyond pairwise relationships in network models remain unexplored. In this work, we study homophily, the nearly ubiquitous phenomena wherein similar individuals…

Social and Information Networks · Computer Science 2022-07-26 Arnab Sarker , Natalie Northrup , Ali Jadbabaie

Structural balance theory predicts that triads in networks gravitate towards stable configurations. The theory has been verified for undirected graphs. Since real-world networks are often directed, we introduce a novel method for…

Social and Information Networks · Computer Science 2024-05-07 Rezvaneh Rezapour , Ly Dinh , Lan Jiang , Jana Diesner

Real-world social networks often exhibit high levels of clustering, positive degree assortativity, short average path lengths (small-world property) and right-skewed but rarely power law degree distributions. On the other hand homophily,…

Social and Information Networks · Computer Science 2020-04-03 Szymon Talaga , Andrzej Nowak

Our societies are heterogeneous in many dimensions such as census, education, religion, ethnic and cultural composition. The links between individuals - e.g. by friendship, marriage or collaboration - are not evenly distributed, but rather…

Physics and Society · Physics 2010-06-16 P. Pin , M. Marsili , S. Franz

Heterogeneity has been studied as one of the most common explanations of the puzzle of cooperation in social dilemmas. A large number of papers have been published discussing the effects of increasing heterogeneity in structured populations…

Physics and Society · Physics 2017-11-13 Marcos Cardinot , Josephine Griffith , Colm O'Riordan

We present an extensive study of the joint effects of heterogeneous social agents and their heterogeneous social links in a bounded confidence opinion dynamics model. The full phase diagram of the model is explored for two different…

Physics and Society · Physics 2023-01-24 Rémi Perrier , Hendrik Schawe , Laura Hernández

In this paper, we consider a multi-agent system consisting of mobile agents with second-order dynamics. The communication network is determined by the so-called topological interaction rule: agents interact with a fixed number of their…

Optimization and Control · Mathematics 2013-11-26 Samuel Martin

Contact networks are heterogeneous. People with similar characteristics are more likely to interact, a phenomenon called assortative mixing or homophily. While age-assortativity is well-established and social contact matrices for…

Physics and Society · Physics 2024-01-19 Claus Kadelka

A social network is often divided into many factions. People are friends within each faction, while they are enemies of the other factions, and even my enemy's enemy is not necessarily my friend. This configuration can be described in terms…

Physics and Society · Physics 2025-09-18 Minwoo Bae , Takashi Shimada , Seung Ki Baek

More than any other species, humans form social ties to individuals who are neither kin nor mates, and these ties tend to be with similar people. Here, we show that this similarity extends to genotypes. Across the whole genome, friends'…

Genomics · Quantitative Biology 2014-12-05 Nicholas A. Christakis , James H. Fowler

In studies of cultural differentiation, the joint mechanisms of homophily and influence have been able to explain how distinct cultural groups can form. While these mechanisms normally lead to cultural convergence, increased levels of…

Physics and Society · Physics 2008-01-23 Damon Centola , Juan Carlos Gonzalez-Avella , Victor M. Eguiluz , Maxi San Miguel

Heider's structural balance theory has proven invaluable in comprehending the dynamics of social groups characterized by both friendly and hostile relationships. Since people's relations are rarely single-faceted, we investigate Heider…

Physics and Society · Physics 2023-10-09 Krishnadas Mohandas , Krzysztof Suchecki , Janusz A. Holyst

The dynamics of many socioeconomic systems is determined by the decision making process of agents. The decision process depends on agent's characteristics, such as preferences, risk aversion, behavioral biases, etc.. In addition, in some…

Statistical Finance · Quantitative Finance 2009-11-13 Gabriella Vaglica , Fabrizio Lillo , Esteban Moro , Rosario N. Mantegna

Many societies are organized in networks that are formed by people who meet and interact over time. In this paper, we present a first model to capture the micro-foundations of social networks evolution, where boundedly rational agents of…

Social and Information Networks · Computer Science 2015-08-17 Ahmed M. Alaa , Kartik Ahuja , Mihaela van der Schaar

Topology and weights are closely related in weighted complex networks and this is reflected in their modular structure. We present a simple network model where the weights are generated dynamically and they shape the developing topology. By…

Physics and Society · Physics 2008-01-30 J. M. Kumpula , J. -P. Onnela , J. Saramaki , K. Kaski , J. Kertesz

Most models of complex systems have been homogeneous, i.e., all elements have the same properties (spatial, temporal, structural, functional). However, most natural systems are heterogeneous: few elements are more relevant, larger,…

Adaptation and Self-Organizing Systems · Physics 2025-12-22 Amahury Jafet López-Díaz , Fernanda Sánchez-Puig , Carlos Gershenson