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Random graphs are useful tools to study social interactions. In particular, the use of weighted random graphs allows to handle a high level of information concerning which agents interact and in which degree the interactions take place.…

Physics and Society · Physics 2009-11-13 Jose J. Ramasco

Social distance games have been extensively studied as a coalition formation model where the utilities of agents in each coalition were captured using a utility function u that took into account distances in a given social network. In this…

Computer Science and Game Theory · Computer Science 2023-07-12 Robert Ganian , Thekla Hamm , Dušan Knop , Sanjukta Roy , Šimon Schierreich , Ondřej Suchý

Leveraging Large Language Models (LLMs) for social simulation is a frontier in computational social science. Understanding the social logics these agents embody is critical to this attempt. However, existing research has primarily focused…

Artificial Intelligence · Computer Science 2025-09-29 Haoyang Li , Xiao Jia , Zhanzhan Zhao

Models of cooperation grounded on social networks and on the ability of individuals to choose actions and partners aim to describe human social behavior. Extensive computer simulations of these models give important insight in the social…

Physics and Society · Physics 2007-05-23 Victor M. Eguluz , Martin G. Zimmermann , Camilo J. Cela-Conde , Maxi San Miguel

Urban income segregation is a widespread phenomenon that challenges societies across the globe. Classical studies on segregation have largely focused on the geographic distribution of residential neighborhoods rather than on patterns of…

Social and Information Networks · Computer Science 2020-04-21 Xiaowen Dong , Alfredo J. Morales , Eaman Jahani , Esteban Moro , Bruno Lepri , Burcin Bozkaya , Carlos Sarraute , Yaneer Bar-Yam , Alex Pentland

Models of social mobility inspired by the Newton's law of gravity have been used for several decades to describe migrations of people, goods, and information. Despite an eminent reference and widespread use, these models lack the background…

Physics and Society · Physics 2021-02-10 Kirill S. Glavatskiy

Social utility maximization refers to the process of allocating resources in such a way that the sum of agents' utilities is maximized under the system constraints. Such allocation arises in several problems in the general area of…

Computer Science and Game Theory · Computer Science 2015-03-10 Abhinav Sinha , Achilleas Anastasopoulos

Three basic factors govern the individual behaviour of a particle: the inertia from its previous displacement; the attraction to its own best experience; and the attraction to a given neighbour's best experience. The importance awarded to…

Physics and Society · Physics 2021-01-28 Johann Sienz , Mauro S. Innocente

By means of extensive computer simulations, the authors consider the entangled coevolution of actions and social structure in a new version of a spatial Prisoner's Dilemma model that naturally gives way to a process of social…

Physics and Society · Physics 2011-06-16 Víctor M. Eguíluz , Martín G. Zimmermann , Camilo J. Cela-Conde , Maxi San Miguel

In the simplest game-theoretic formulation of Schelling's model of segregation on graphs, agents of two different types each select their own vertex in a given graph so as to maximize the fraction of agents of their type in their occupied…

Computer Science and Game Theory · Computer Science 2022-03-31 Luca Kreisel , Niclas Boehmer , Vincent Froese , Rolf Niedermeier

We propose a simple semi-discrete spatial model where rents, wages and the density of population in a city can be deduced from free-mobility and equilibrium conditions on the labour and residential housing markets. We prove existence and…

Optimization and Control · Mathematics 2022-07-27 Yves Achdou , Guillaume Carlier , Quentin Petit , Daniela Tonon

Social structures influence a variety of human behaviors including mobility patterns, but the extent to which one individual's movements can predict another's remains an open question. Further, latent information about an individual's…

Physics and Society · Physics 2022-04-27 Zexun Chen , Sean Kelty , Brooke Foucault Welles , James P. Bagrow , Ronaldo Menezes , Gourab Ghoshal

Networks describe a range of social, biological and technical phenomena. An important property of a network is its degree correlation or assortativity, describing how nodes in the network associate based on their number of connections.…

Social and Information Networks · Computer Science 2017-02-06 David N Fisher , Matthew J Silk , Daniel W Franks

We develop a model of social media in which users produce different types of content and choose whom to follow. Even when abstracting from algorithmic bias, linking costs shape networks and polarization. In the welfare-maximizing…

Theoretical Economics · Economics 2026-02-26 Patrick Allmis , Luca Paolo Merlino

The global surge in social inequalities is one of the most pressing issues of our times. The spatial expression of social inequalities at city scale gives rise to urban segregation, a common phenomenon across different local and cultural…

Computers and Society · Computer Science 2025-07-21 Anastassia Vybornova , Trivik Verma

The model of community isolation was extended to the case when individuals are randomly placed at nodes of hierarchical modular networks. It was shown that the average number of blocked nodes (individuals) increases in time as a power…

Physics and Society · Physics 2023-07-19 Paweł Kondratiuk , Janusz A. Hołyst

We examine the global organization of heterogeneous equilibrium networks consisting of a number of well distinguished interconnected parts--``communities'' or modules. We develop an analytical approach allowing us to obtain the statistics…

Statistical Mechanics · Physics 2009-11-13 S. N. Dorogovtsev , J. F. F. Mendes , A. N. Samukhin , A. Y. Zyuzin

This paper analyzes the pricing of transit traffic in wireless peer-to-peer networks using the concepts of direct and indirect network externalities. We first establish that without any pricing mechanism, congestion externalities overwhelm…

Computers and Society · Computer Science 2007-05-23 Sam Chandan , Christiaan Hogendorn

We address the problem of using observational data to estimate peer contagion effects, the influence of treatments applied to individuals in a network on the outcomes of their neighbors. A main challenge to such estimation is that homophily…

Social and Information Networks · Computer Science 2022-05-18 Irina Cristali , Victor Veitch

The influence of commuting in socio-economic dynamics increases constantly. Analysing and modelling the networks formed by commuters to help decision-making regarding the land-use has become crucial. This paper presents a simple spatial…

Physics and Society · Physics 2020-03-10 Floriana Gargiulo , Maxime Lenormand , Sylvie Huet , Omar Baqueiro Espinosa
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