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Although instantaneous interactions are unphysical, a large variety of maximum entropy statistical inference methods match the model-inferred and the empirically-measured equal-time correlation functions. Focusing on collective motion of…

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 2019-12-10 Olle Abrahamsson , Danyo Danev , Erik G. Larsson

We study generalizations of the Hegselmann-Krause (HK) model for opinion dynamics, incorporating features and parameters that are natural components of observed social systems. The first generalization is one where the strength of influence…

Dynamical Systems · Mathematics 2014-09-29 Avhishek Chatterjee , Anand D. Sarwate , Sriram Vishwanath

In this paper, we study accelerating a Laplacian-based dynamic average consensus algorithm by splitting the conventional delay-free disagreement feedback into weighted summation of a current and an outdated term. We determine for what…

Multiagent Systems · Computer Science 2019-12-11 Hossein Moradian , Solmaz S. Kia

In the compromise model of continuous opinions proposed by Deffuant et al, the states of two agents in a network can start to converge if they are neighbors and if their opinions are sufficiently close to each other, below a given threshold…

Physics and Society · Physics 2015-05-19 Yérali Gandica , Marcelo del Castillo-Mussot , Gerardo J. Vázquez , Sergio Rojas

We introduce a statistical physics model for opinion dynamics on random networks where agents adopt the opinion held by the majority of their direct neighbors only if the fraction of these neighbors exceeds a certain threshold, p_u. We find…

Physics and Society · Physics 2009-11-13 Peter Klimek , Renaud Lambiotte , Stefan Thurner

We study a model of consensus decision making, in which a finite group of Bayesian agents has to choose between one of two courses of action. Each member of the group has a private and independent signal at his or her disposal, giving some…

Statistics Theory · Mathematics 2018-04-24 Elchanan Mossel , Omer Tamuz

In this letter we introduce a class of delayed kinetic systems derived from mass action type reaction network models. We define the time delayed positive stoichiometric compatibility classes and the notion of complex balanced time delayed…

Dynamical Systems · Mathematics 2017-04-21 György Lipták , Katalin M. Hangos , Mihály Pituk , Gábor Szederkényi

We propose the multidimensional social compass model, based on two competing key ingredients: DeGroot learning, driven by the social influence exerted across multiple topics, and the preference of individuals to maintain their initial…

Physics and Society · Physics 2025-03-05 Jaume Ojer , Michele Starnini , Romualdo Pastor-Satorras

Distributed consensus has been widely studied for sensor network applications. Whereas the asymptotic convergence rate has been extensively explored in prior work, other important and practical issues, including energy efficiency and link…

Networking and Internet Architecture · Computer Science 2013-04-10 Lei Chen , Jeff Frolik

We study numerically the dynamics of opinion formation under the influence of mass media using the $q$-voter model on a Barabasi-Albert network. We investigate the scenario where a voter adopts the mass media's opinion with a probability…

Physics and Society · Physics 2024-07-16 Ramacos Fardela , Zulfi Abdullah , Roni Muslim

In this paper we explore the relationship between dual decomposition and the consensus-based method for distributed optimization. The relationship is developed by examining the similarities between the two approaches and their relationship…

Systems and Control · Computer Science 2014-02-19 Greg Droge , Hiroaki Kawashima , Magnus Egerstedt

The voter model is a simple agent-based model to mimic opinion dynamics in social networks: a randomly chosen agent adopts the opinion of a randomly chosen neighbour. This process is repeated until a consensus emerges. Although the basic…

Statistical Mechanics · Physics 2018-06-06 Michael T. Gastner , Beáta Oborny , Máté Gulyás

This paper studies a consensus protocol over a group of agents driven by second order dynamics. The communication among members of the group is assumed to be directed and affected by two rationally independent time delays, one in the…

Optimization and Control · Mathematics 2014-07-04 Rudy Cepeda-Gomez , Nejat Olgac

Usually, opinion formation models assume that individuals have an opinion about a given topic which can change due to interactions with others. However, individuals can have different opinions in different topics and therefore n-dimensional…

Physics and Society · Physics 2021-09-22 Lucia Pedraza , Juan Pablo Pinasco , Nicolas Saintier , Pablo Balenzuela

In this paper, we provide a formulation of an open Hegselmann-Krause (HK) dynamics where agents can join and leave the system during the interactions. We consider a stochastic framework where the time instants corresponding to arrivals and…

Systems and Control · Electrical Eng. & Systems 2023-03-14 Renato Vizuete , Paolo Frasca , Elena Panteley

Results for estimating the convergence rate of non-stationary distributed consensus algorithms are provided, on the basis of qualitative (mainly topological) as well as basic quantitative information (lower-bounds on the matrix entries).…

Optimization and Control · Mathematics 2007-12-22 David Angeli , Pierre-Alexandre Bliman

This paper studies distributed resilient consensus problem for a class of uncertain nonlinear multiagent systems susceptible to deception attacks. The attacks invade both sensor and actuator channels of each agent. A specific class of…

Systems and Control · Electrical Eng. & Systems 2025-06-10 Mengze Yu , Wei Wang , Jiaqi Yan

Travel time prediction is a well-renowned topic of research. It is primarily influenced by traffic congestion, road conditions and route geometry. Among them route geometry at any point is not investigated enough to find a sound spatial…

Computers and Society · Computer Science 2018-07-25 Muhammad Naeem , Mehdi Katranji , Guilhem Sanmarty , Sami Kraiem , Hamza Mahdi Zargayouna , Fouad Hadj Selem

This paper establishes existence, uniqueness, and an L^1-comparison principle for weak solutions of a PDE system modeling phase transition reaction-diffusion in congested crowd motion. We consider a general reaction term and mixed…

Analysis of PDEs · Mathematics 2025-09-17 Noureddine Igbida , Fahd Karami , Driss Meskine
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