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Communities are an important feature of social networks. The goal of this paper is to propose a mathematical model to study the community structure in social networks. For this, we consider a particular case of a social network, namely…

Social and Information Networks · Computer Science 2020-04-14 Peter Marbach

In this paper we study social exclusion in social (information) networks using a game-theoretic approach, and study the stability of a certain class community structures that are a Nash equilibrium. The main result of our analysis shows…

Optimization and Control · Mathematics 2020-07-30 Boxuan Li , Martin Carrington , Peter Marbach

Communities are an important feature of social networks. In fact, it seems that communities are necessary for a social network to be efficient. However, there exist very few formal studies of the actual role of communities in social…

Social and Information Networks · Computer Science 2019-02-01 Peter Marbach

In this paper, we examine both stability and sustainability of a network-based model of natural resource consumption. Stability is studied from a dynamical systems perspective, though we argue that sustainability is a fundamentally…

Optimization and Control · Mathematics 2019-01-11 Matthew T. Hale , Sebastian F. Ruf , Talha Manzoor , Abubakr Muhammad

Social storage systems are a good alternative to existing data backup systems of local, centralized, and P2P backup. In this paper, we look at two untouched aspects of social storage systems. One aspect involves modelling social storage as…

Computer Science and Game Theory · Computer Science 2018-04-11 Pramod Mane , Kapil Ahuja , Nagarajan Krishnamurthy

File-sharing systems, like many online and traditional information sharing communities (e.g. newsgroups, BBS, forums, interest clubs), are dynamical systems in nature. As peers get in and out of the system, the information content made…

Networking and Internet Architecture · Computer Science 2007-05-23 W. -Y. Ng , W. K. Lin , D. M. Chiu

In this work we present a strategic network formation model predicting the emergence of multigroup structures. Individuals decide to form or remove links based on the benefits and costs those connections carry; we focus on bilateral consent…

Social and Information Networks · Computer Science 2020-01-30 Shadi Mohagheghi , Jingying Ma , Francesco Bullo

The past analyses of datasets of social networks have enabled us to make empirical findings of a number of aspects of human society, which are commonly featured as stylized facts of social networks, such as broad distributions of network…

Physics and Society · Physics 2018-02-27 Hang-Hyun Jo , Yohsuke Murase , János Török , János Kertész , Kimmo Kaski

Efficient allocation and use of limited resources are fundamental to advancing collective welfare and achieving long-term societal sustainability. This challenge involves not only how policymakers distribute scarce resources among…

Computer Science and Game Theory · Computer Science 2026-03-18 Juyi Li , Xiaoqun Wu , Qi Su

The stability analysis of socioeconomic systems has been centered on answering whether small perturbations when a system is in a given quantitative state will push the system permanently to a different quantitative state. However, typically…

Physics and Society · Physics 2014-09-01 Serguei Saavedra , Rudolf P. Rohr , Luis J. Gilarranz , Jordi Bascompte

Motivated by data on coauthorships in scientific publications, we analyze a team formation process that generalizes matching models and network formation models, allowing for overlapping teams of heterogeneous size. We apply different…

Theoretical Economics · Economics 2022-11-29 Leonardo Boncinelli , Alessio Muscillo , Paolo Pin

Consensus formation in a social network is modeled by a dynamic game of a prescribed duration played by members of the network. Each member independently minimizes a cost function that represents his/her motive. An integral cost function…

Systems and Control · Computer Science 2017-06-30 Muhammad Umar B. Niazi , Arif Bülent Özgüler , Aykut Yıldız

Knowledge-sharing communities are a fundamental element of any knowledge-based society. Understanding how they emerge, function, and disappear is thus of crucial importance. Many social and economic factors influence sustainable…

Physics and Society · Physics 2022-05-17 Ana Vranić , Aleksandar Tomašević , Aleksandra Alorić , Marija Mitrović Dankulov

Understanding the pattern formation in communities has been at the center of attention in various fields. Here we introduce a novel model, called an "information-particle model," which is based on the reaction-diffusion model and the…

Physics and Society · Physics 2023-07-21 Junichi Miyakoshi

We consider collaborative systems where users make contributions across multiple available projects and are rewarded for their contributions in individual projects according to a local sharing of the value produced. This serves as a model…

Computer Science and Game Theory · Computer Science 2013-08-06 Yoram Bachrach , Vasilis Syrgkanis , Milan Vojnovic

Social media sites are information marketplaces, where users produce and consume a wide variety of information and ideas. In these sites, users typically choose their information sources, which in turn determine what specific information…

Social and Information Networks · Computer Science 2016-03-16 Mahmoudreza Babaei , Przemyslaw A. Grabowicz , Isabel Valera , Krishna P. Gummadi , Manuel Gomez-Rodriguez

We present and analyze a model of opinion formation on an arbitrary network whose dynamics comes from a global energy function. We study the global and local minimizers of this energy, which we call stable opinion configurations, and…

Dynamical Systems · Mathematics 2018-05-23 Jared C. Bronski , Lee DeVille , Tim Ferguson , Michael Livesay

Most aspects of our lives are governed by large, highly developed institutions that integrate several governance tasks under one authority structure. But theorists differ as to the mechanisms that drive the development of such concentrated…

Social and Information Networks · Computer Science 2019-09-11 Seth Frey , Robert W Sumner

Empirically, many strategic settings are characterized by stable outcomes in which players' decisions are publicly observed, yet no player takes the opportunity to deviate. To analyze such situations in the presence of incomplete…

Econometrics · Economics 2024-04-12 Paul S. Koh

The efficient use of available resources is a key factor in achieving success on both personal and organizational levels. One of the crucial resources in knowledge economy is time. The ability to force others to adapt to our schedule even…

Multiagent Systems · Computer Science 2017-06-06 Michal Kakol , Radoslaw Nielek , Adam Wierzbicki
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