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Recently several authors have proposed stochastic models of the growth of the Web graph that give rise to power-law distributions. These models are based on the notion of preferential attachment leading to the ``rich get richer''…

Disordered Systems and Neural Networks · Physics 2007-05-23 Mark Levene , Trevor Fenner , George Loizou , Richard Wheeldon

It is known that individuals in social networks tend to exhibit homophily (a.k.a. assortative mixing) in their social ties, which implies that they prefer bonding with others of their own kind. But what are the reasons for this phenomenon?…

Social and Information Networks · Computer Science 2017-03-28 Chen Avin , Hadassa Daltrophe , Zvi Lotker , David Peleg

Wealth transactions are central to economic activity, and their particularities shape macroeconomic outcomes. We propose an agent-based model to investigate how homophily influences economic inequality. The model simulates wealth exchanges…

Physics and Society · Physics 2025-02-26 Gustavo L. Kohlrausch , Thiago Dias , Sebastian Gonçalves

We introduce a model for the formation of social networks, which takes into account the homophily or the tendency of individuals to associate and bond with similar others, and the mechanisms of global and local attachment as well as tie…

Physics and Society · Physics 2019-03-28 Yohsuke Murase , Hang-Hyun Jo , János Török , János Kertész , Kimmo Kaski

People learn about opportunities and actions by observing the experiences of their friends. We model how homophily -- the tendency to associate with similar others -- affects both the endogenous quality and diversity of the information…

Theoretical Economics · Economics 2026-02-03 Yunus C. Aybas , Matthew O. Jackson

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

This paper introduces a tractable model to study incentive-compatible homophily under both external environments--such as exogenous shocks or policy constraints--and internal micromotives based on interactive attributes. We propose a set of…

Theoretical Economics · Economics 2025-10-14 Jiaxing Weng , Haijun Yang , Tongyu Wang

Research on friendship networks in schools suggests that heterogeneity increases homophily preferences. We argue that this may be a misleading interpretation of the coefficients of the exponential random graph models (p*) that are used to…

Physics and Society · Physics 2009-01-20 Andreas Flache , Tobias Stark

Complex networks in different areas exhibit degree distributions with heavy upper tail. A preferential attachment mechanism in a growth process produces a graph with this feature. We herein investigate a variant of the simple preferential…

Probability · Mathematics 2018-04-18 Angelica Pachon , Laura Sacerdote , Shuyi Yang

A new mechanism leading to scale-free networks is proposed in this letter. It is shown that in many cases of interest, the connectivity power-law behavior is neither related to dynamical properties nor to preferential attachment. Instead,…

Disordered Systems and Neural Networks · Physics 2007-05-23 G. Caldarelli , A. Capocci , P. De Los Rios , M. A. Munoz

This paper considers the evolution of a network in a discrete time, stochastic setting in which agents learn about each other through repeated interactions and maintain/break links on the basis of what they learn from these interactions.…

Physics and Society · Physics 2015-11-27 Mihaela van der Schaar , Simpson Zhang

Numerous works have been proposed to generate random graphs preserving the same properties as real-life large scale networks. However, many real networks are better represented by hypergraphs. Few models for generating random hypergraphs…

Social and Information Networks · Computer Science 2021-03-03 Frédéric Giroire , Nicolas Nisse , Thibaud Trolliet , Małgorzata Sulkowska

There are diverse mechanisms driving the evolution of social networks. A key open question dealing with understanding their evolution is: How various preferential linking mechanisms produce networks with different features? In this paper we…

Physics and Society · Physics 2015-06-12 Haibo Hu , Jinli Guo , Xuan Liu

Recently several authors have proposed stochastic evolutionary models for the growth of complex networks that give rise to power-law distributions. These models are based on the notion of preferential attachment leading to the ``rich get…

Physics and Society · Physics 2007-05-23 Trevor Fenner , Mark Levene , George Loizou

We investigate the long-time properties of a dynamic, out-of-equilibrium network of individuals holding one of two opinions in a population consisting of two communities of different sizes. Here, while the agents' opinions are fixed, they…

Physics and Society · Physics 2022-02-01 Xiang Li , Mauro Mobilia , Alastair M. Rucklidge , R. K. P. Zia

While homophily -- the tendency to link with similar others -- may nurture a sense of belonging and shared values, it can also hinder diversity and widen inequalities. Here, we unravel this trade-off analytically, revealing homophily traps…

Social and Information Networks · Computer Science 2025-10-28 Marcos Oliveira , Leonie Neuhauser , Fariba Karimi

Reciprocity, or the tendency of individuals to mirror behavior, is a key measure that describes information exchange in a social network. Users in social networks tend to engage in different levels of reciprocal behavior. Differences in…

Machine Learning · Statistics 2023-08-22 Daniel Cirkovic , Tiandong Wang

It is well known that networks generated by common mechanisms such as preferential attachment and homophily can disadvantage the minority group by limiting their ability to establish links with the majority group. This has the effect of…

Social and Information Networks · Computer Science 2021-12-21 Xindi Wang , Onur Varol , Tina Eliassi-Rad

Unveiling individuals' preferences for connecting with similar others (choice homophily) beyond the structural factors determining the pool of opportunities, is a challenging task. Here, we introduce a robust methodology for quantifying and…

Physics and Society · Physics 2024-01-25 Sina Sajjadi , Samuel Martin-Gutierrez , Fariba Karimi

Forecasting the popularity of new songs has become a standard practice in the music industry and provides a comparative advantage for those that do it well. Considerable efforts were put into machine learning prediction models for that…

Physics and Society · Physics 2022-11-29 Niklas Reisz , Vito D. P. Servedio , Stefan Thurner