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Related papers: Continuous Social Networks

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The emergence of cooperation among self-interested agents has been a key concern of the multi-agent systems community for decades. With the increased importance of network-mediated interaction, researchers have shifted the attention on the…

Physics and Society · Physics 2022-02-09 Jacques Bara , Paolo Turrini , Giulia Andrighetto

We propose a modeling framework to develop a continuum description of opinion dynamics on networks as an alternative to other models, like the ones based on graphons. In a nutshell, the continuum model that we propose aims at approximating…

Analysis of PDEs · Mathematics 2026-03-16 Gianluca Favre , Gaspard Jankowiak , Sara Merino-Aceituno , Lara Trussardi

Continuous limits of discrete systems with long-range interactions are considered. The map of discrete models into continuous medium models is defined. A wide class of long-range interactions that give the fractional equations in the…

Mathematical Physics · Physics 2015-03-10 Vasily E. Tarasov

We study techniques to incentivize self-interested agents to form socially desirable solutions in scenarios where they benefit from mutual coordination. Towards this end, we consider coordination games where agents have different intrinsic…

Computer Science and Game Theory · Computer Science 2014-04-21 Elliot Anshelevich , Shreyas Sekar

Modeling social interactions is a challenging task that requires flexible frameworks. For instance, dissimulation and externalities are relevant features influencing such systems -- elements that are often neglected in popular models. This…

Optimization and Control · Mathematics 2022-12-21 Yuri Saporito , Max O. Souza , Yuri Thamsten

In this paper, we study a class of discrete-time mean-field games under the infinite-horizon risk-sensitive discounted-cost optimality criterion. Risk-sensitivity is introduced for each agent (player) via an exponential utility function. In…

Optimization and Control · Mathematics 2018-10-08 Naci Saldi , Tamer Basar , Maxim Raginsky

We consider the problem of budget allocation for competitive influence maximization over social networks. In this problem, multiple competing parties (players) want to distribute their limited advertising resources over a set of social…

Computer Science and Game Theory · Computer Science 2021-08-31 S. Rasoul Etesami

We study opinion dynamics in a social network with stubborn agents who influence their neighbors but who themselves always stick to their initial opinion. We consider first the well-known DeGroot model. While it is known in the literature…

Social and Information Networks · Computer Science 2021-01-01 Olle Abrahamsson , Danyo Danev , Erik G. Larsson

Empirical studies suggest a deep intertwining between opinion formation and decision-making processes, but these have been treated as separate problems in the study of dynamical models for social networks. In this paper, we bridge the gap…

Systems and Control · Electrical Eng. & Systems 2024-10-24 Hassan Dehghani Aghbolagh , Mengbin Ye , Lorenzo Zino , Ming Cao , Zhiyong Chen

Inspired by successful biological collective decision mechanisms such as honey bees searching for a new colony or the collective navigation of fish schools, we consider a mean field games (MFG)-like scenario where a large number of agents…

Systems and Control · Computer Science 2016-01-26 Rabih Salhab , Roland P. Malhamé , Jerome Le Ny

Network creation games are well-established for investigating the decentralized formation of communication networks, like the Internet or social networks. In these games, selfish agents that correspond to network nodes strategically create…

Computer Science and Game Theory · Computer Science 2025-02-11 Merlin de la Haye , Pascal Lenzner , Daniel Schmand , Nicole Schröder

In this paper we show that the small world and weak ties phenomena can spontaneously emerge in a social network of interacting agents. This dynamics is simulated in the framework of a simplified model of opinion diffusion in an evolving…

Physics and Society · Physics 2014-01-10 T. Carletti , D. Fanelli , S. Righi

We present a model of opinion dynamics in which agents adjust continuous opinions as a result of random binary encounters whenever their difference in opinion is below a given threshold. High thresholds yield convergence of opinions towards…

Disordered Systems and Neural Networks · Physics 2007-05-23 Gerard Weisbuch , Guillaume Deffuant , Frederic Amblard , Jean Pierre Nadal

The ways in which an innovation (e.g., new behaviour, idea, technology, product) diffuses among people can determine its success or failure. In this paper, we address the problem of diffusion of innovations over multiplex social networks…

Social and Information Networks · Computer Science 2014-08-26 Rasoul Ramezanian , Mostafa Salehi , Matteo Magnani , Danilo Montesi

We undertake a fundamental study of network equilibria modeled as solutions of fixed point equations for monotone linear functions with saturation nonlinearities. The considered model extends one originally proposed to study systemic risk…

Dynamical Systems · Mathematics 2021-01-19 Leonardo Massai , Giacomo Como , Fabio Fagnani

Social balance theory describes allowable and forbidden configurations of the topologies of signed directed social appraisal networks. In this paper, we propose two discrete-time dynamical systems that explain how an appraisal network…

Social and Information Networks · Computer Science 2019-09-16 Wenjun Mei , Pedro Cisneros-Velarde , Ge Chen , Noah E. Friedkin , Francesco Bullo

We consider a strategic network quantizer design setting where agents must balance fidelity in representing their local source distributions against their ability to successfully communicate with other connected agents. We study the problem…

Information Theory · Computer Science 2021-09-01 Ankur Mani , Lav R. Varshney , Alex , Pentland

This paper investigates an infinite-horizon problems in the one-dimensional calculus of variations, arising from the Ramsey model of endogeneous economic growth. Following Chichilnisky, we introduce an additional term, which models concern…

Economics · Quantitative Finance 2015-11-03 Ivar Ekeland , Yiming Long , Qinglong Zhou

In this work, we consider dynamic influence maximization games over social networks with multiple players (influencers). The goal of each influencer is to maximize their own reward subject to their limited total budget rate constraints.…

Computer Science and Game Theory · Computer Science 2023-09-26 Melih Bastopcu , S. Rasoul Etesami , Tamer Başar

Conventional distributed approaches to coverage control may suffer from lack of convergence and poor performance, due to the fact that agents have limited information, especially in non-convex discrete environments. To address this issue,…

Computer Science and Game Theory · Computer Science 2024-04-09 Tatsuya Iwase , Aurélie Beynier , Nicolas Bredeche , Nicolas Maudet , Jason R. Marden