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We study the behavior of a generalized consensus dynamics on a temporal network of interactions, the activity driven network with attractiveness. In this temporal network model, agents are endowed with an intrinsic activity $a$, ruling the…

Physics and Society · Physics 2018-08-15 Antoine Moinet , Alain Barrat , Romualdo Pastor Satorras

In this note, the coordination of linear discrete-time multi-agent systems over digital networks is investigated with unmeasurable states in agents' dynamics. The quantized-observer based communication protocols and Certainty Equivalence…

Systems and Control · Computer Science 2016-05-03 Yang Meng , Tao Li , Ji-Feng Zhang

We delve into the dynamics of opinions within a multiplex network using coordination games, where agents communicate either in a one-way or two-way interactions, and where a designated leader may be present. By employing graph theory and…

Systems and Control · Electrical Eng. & Systems 2024-02-16 Amirreza Talebi , Sayed Pedram Haeri Boroujeni , Abolfazl Razi

We develop a sequence of models describing information transmission and decision dynamics for a network of individual agents subject to multiple sources of influence. Our general framework is set in the context of an impending natural…

Physics and Society · Physics 2015-06-05 Danielle S. Bassett , David L. Alderson , Jean M. Carlson

The overwhelming success of online social networks, the key actors in the Web 2.0 cosmos, has reshaped human interactions globally. To help understand the fundamental mechanisms which determine the fate of online social networks at the…

Physics and Society · Physics 2016-05-02 Kaj-Kolja Kleineberg , Marian Boguna

Agents in social networks with threshold-based dynamics change opinions when influenced by sufficiently many peers. Existing literature typically assumes that the network structure and dynamics are fully known, which is often unrealistic.…

Social and Information Networks · Computer Science 2026-05-15 Dmitry Chistikov , Luisa Estrada , Mike Paterson , Paolo Turrini

One of the most central questions in network science is: which nodes are most important? Often this question is answered using structural properties such as high connectedness or centrality in the network. However, static structural…

Physics and Society · Physics 2021-07-02 Casper van Elteren , Rick Quax , Peter Sloot

We study a nonlinear dynamics of binary opinions in a population of agents connected by a directed network, influenced by two competing forces. On the one hand, agents are stubborn, i.e., have a tendency for one of the two opinions; on the…

Social and Information Networks · Computer Science 2025-11-13 Federico Capannoli , Emilio Cruciani , Hlafo Alfie Mimun , Matteo Quattropani

Preferences, fundamental in all forms of strategic behavior and collective decision-making, in their raw form, are an abstract ordering on a set of alternatives. Agents, we assume, revise their preferences as they gain more information…

Multiagent Systems · Computer Science 2024-07-12 Hans Riess , Gregory Henselman-Petrusek , Michael C. Munger , Robert Ghrist , Zachary I. Bell , Michael M. Zavlanos

We study a two-player model of conflict with multiple battlefields -- the novel element is that each of the players has their own network of spillovers so that resources allocated to one battle can be utilized in winning neighboring…

Theoretical Economics · Economics 2025-10-14 Marcin Dziubiński , Sanjeev Goyal , Junjie Zhou

We study the distributed consensus of state vectors in a discrete-time multi-agent network with matrix edge weights using stochastic matrix convergence theory. We present a distributed asynchronous time update model wherein one randomly…

Systems and Control · Electrical Eng. & Systems 2025-08-05 P Raghavendra Rao , Pooja Vyavahare

Natural and artificial collectives exhibit heterogeneities across different dimensions, contributing to the complexity of their behavior. We investigate the effect of two such heterogeneities on collective opinion dynamics: heterogeneity of…

Physics and Society · Physics 2024-02-07 Vito Mengers , Mohsen Raoufi , Oliver Brock , Heiko Hamann , Pawel Romanczuk

In this paper we study the impact of active participation -- or deliberately seeking out other agents with an aim to convince them -- on the dynamics of consensus formation. For this purpose, we propose an adaptive network model in which…

Physics and Society · Physics 2019-06-04 Markus Brede

We consider multiple diseases spreading in a static Configuration Model network. We make standard assumptions that infection transmits from neighbor to neighbor at a disease-specific rate and infected individuals recover at a…

Populations and Evolution · Quantitative Biology 2015-06-11 Joel C. Miller

Consider discrete-time linear distributed averaging dynamics, whereby agents in a network start with uncorrelated and unbiased noisy measurements of a common underlying parameter (state of the world) and iteratively update their estimates…

Optimization and Control · Mathematics 2023-03-21 Giacomo Como , Fabio Fagnani , Anton V. Proskurnikov

The deterministic dynamics of randomly connected neural networks are studied, where a state of binary neurons evolves according to a discreet-time synchronous update rule. We give a theoretical support that the overlap of systems' states…

Statistical Mechanics · Physics 2015-03-10 Taro Toyoizumi , Haiping Huang

Dynamics of arbitrary communication system is analysed as unreduced interaction process. The applied generalised, universally nonperturbative method of effective potential reveals the phenomenon of dynamic multivaluedness of competing…

General Physics · Physics 2007-05-23 Andrei P. Kirilyuk

A hybrid model for opinion dynamics in complex multi-agent networks is introduced, wherein some continuous-valued agents average neighbors' opinions to update their own, while other discrete-valued agents use stochastic copying and voting…

Systems and Control · Computer Science 2019-04-01 Mengran Xue , Sandip Roy

We describe the results of analytic calculations and computer simulations of adaptive predictors (predictive agents) responding to an evolving chaotic environment and to one another. Our simulations are designed to quantify adaptation and…

adap-org · Physics 2008-02-03 Alfred Hübler , David Pines

Heterogeneous networks comprise agents with varying capabilities in terms of computation, storage, and communication. In such settings, it is crucial to factor in the operating characteristics in allowing agents to choose appropriate…

Optimization and Control · Mathematics 2022-09-07 Yichuan Li , Petros Voulgaris , Nikolaos M. Freris