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Related papers: Agreement dynamics on small-world networks

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Social movements, neurons in the brain or even industrial suppliers are best described by agents evolving on networks with basic interaction rules. In these real systems, the connectivity between agents corresponds to the a critical state…

Physics and Society · Physics 2007-05-23 Philippe Curty

We consider a model of language development, known as the naming game, in which agents invent, share and then select descriptive words for a single object, in such a way as to promote local consensus. When formulated on a finite and…

Probability · Mathematics 2017-03-08 Eric Foxall

Coevolution on social models couples the time evolution of the network with the time evolution of the states of the agents. This paper presents a new coevolution dynamic allowing more than one rewiring on the network. We explore how this…

Chaotic Dynamics · Physics 2024-12-03 Francis Ferreira Franco , Paulo Freitas Gomes

In (Deffuant et al., 2002), we proposed a simple model of opinion dynamics, which we used to simulate the influence of extremists in a population. Simulations were run without any specific interaction structure and varying the simulation…

Other Condensed Matter · Physics 2015-06-24 F. Amblard , G. Deffuant

We establish average consensus on graphs with dynamic topologies prescribed by evolutionary games among strategic agents. Each agent possesses a private reward function and dynamically decides whether to create new links and/or whether to…

Optimization and Control · Mathematics 2018-03-08 Michalis Smyrnakis , Nikolaos M. Freris , Hamidou Tembine

We study the coevolutionary dynamics of network topology and social complex contagion using a threshold cascade model. Our coevolving threshold model incorporates two mechanisms: the threshold mechanism for the spreading of a minority state…

Physics and Society · Physics 2023-06-16 Byungjoon Min , Maxi San Miguel

This research investigates the impact of dynamic, time-varying interactions on cooperative behaviour in social dilemmas. Traditional research has focused on deterministic rules governing pairwise interactions, yet the impact of interaction…

Physics and Society · Physics 2024-08-20 Yujie He , Tianyu Ren , Xiao-Jun Zeng , Huawen Liang , Liukai Yu , Junjun Zheng

The real world is awash with multi-agent problems that require collective action by self-interested agents, from the routing of packets across a computer network to the management of irrigation systems. Such systems have local incentives…

Multiagent Systems · Computer Science 2021-02-16 Michiel A. Bakker , Richard Everett , Laura Weidinger , Iason Gabriel , William S. Isaac , Joel Z. Leibo , Edward Hughes

Community structures have been identified in various complex real-world networks, for example, communication, information, internet and shareholder networks. The scaling of community size distribution indicates the heterogeneity in the…

Physics and Society · Physics 2022-07-11 Qing Yao , Bingsheng Chen , Tim S. Evans , Kim Christensen

We propose dynamic scaling in temporal networks with heterogeneous activities and memory, and provide a comprehensive picture for the dynamic topologies of such networks, in terms of the modified activity-driven network model [H. Kim…

Statistical Mechanics · Physics 2018-06-29 Hyewon Kim , Meesoon Ha , Hawoong Jeong

In this paper, we propose a numerical investigation of topological interactions in flocking dynamics. Starting from a microscopic description of the phenomena, mesoscopic and macroscopic models have been previously derived under specific…

Analysis of PDEs · Mathematics 2025-12-30 Marta Menci , Thierry Paul , Stefano Rossi , Tommaso Tenna

We propose a dynamical process for network evolution, aiming at explaining the emergence of the small world phenomenon, i.e., the statistical observation that any pair of individuals are linked by a short chain of acquaintances computable…

Data Structures and Algorithms · Computer Science 2008-03-04 Augustin Chaintreau , Pierre Fraigniaud , Emmanuelle Lebhar

We introduce a new mechanism of connectivity evolution in networks to account for the emergence of scale-free behavior. The mechanism works on a fixed set of nodes and promotes growth from a minimally connected initial topology by the…

Statistical Mechanics · Physics 2007-05-23 Valmir C. Barbosa , Raul Donangelo , Sergio R. Souza

We introduce a growing network model---the copying model---in which a new node attaches to a randomly selected target node and, in addition, independently to each of the neighbors of the target with copying probability $p$. When…

Statistical Mechanics · Physics 2016-12-14 U. Bhat , P. L. Krapivsky , R. Lambiotte , S. Redner

Network dynamics offers critical insights into the behavior and evolution of complex systems. Here, we focus on the topological dynamics of networks to explore a unique process for reducing the average distance: topological compression. The…

General Topology · Mathematics 2025-08-07 Jian-Hui Li , Zu-Guo Yu , Yu-Chu Tian

Opinion dynamics is crucial for unraveling the complexities of human interaction in the information age. How to speed up consensus without disturbing the fate of the system is key for opinion dynamics. We propose a voter model on adaptive…

Physics and Society · Physics 2023-12-12 Xunlong Wang , Bin Wu

Complex systems often exhibit highly structured network topologies that reflect functional constraints. In this work, we investigate how, under varying combinations of system-wide selection rules and special agents, different classes of…

Adaptation and Self-Organizing Systems · Physics 2025-06-02 Amalia Puente , Diego Radillo-Ochoa , C. A. Terrero-Escalante

We investigate a game-theoretic model of a social system where both the rules of the game and the interaction structure are shaped by the behavior of the agents. We call this type of model, with several types of feedback couplings from the…

Populations and Evolution · Quantitative Biology 2016-11-25 Sungmin Lee , Petter Holme , Zhi-Xi Wu

In the classical preferential attachment model, links form instantly to newly arriving nodes and do not change over time. We propose a hierarchical random graph model in a spatial setting, where such a time-variability arises from an…

Probability · Mathematics 2019-04-04 Markus Heydenreich , Christian Hirsch

This study addresses primal-dual dynamics for a stochastic programming problem for capacity network design. It is proven that consensus can be achieved on the \textit{here and now} variables which represent the capacity of the network. The…

Optimization and Control · Mathematics 2020-09-11 Casper T. Röling , Dario Bauso , Hamidou Tembine
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