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Related papers: Voter Models on Heterogeneous Networks

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We investigate the phenomena of political bi-polarization in a population of interacting agents by means of a generalized version of the model introduced in PRE E 101, 012101 (2020) for the dynamics of voting intention. Each agent has a…

Physics and Society · Physics 2020-07-15 Nicolas Saintier , Juan Pablo Pinasco , Federico Vazquez

Observational learning is an important information aggregation mechanism. However, it occasionally leads to a state in which an entire population chooses a sub-optimal option. When it occurs and whether it is a phase transition remain…

Physics and Society · Physics 2012-11-13 Shintaro Mori , Masato Hisakado , Taiki Takahashi

We study the collective motion of a large set of self-propelled particles subject to voter-like interactions. Each particle moves on a two-dimensional space at a constant speed in a direction that is randomly assigned initially. Then, at…

Physics and Society · Physics 2019-04-12 Gabriel Baglietto , Federico Vazquez

We study a majority based preference diffusion model in which the members of a social network update their preferences based on those of their connections. Consider an undirected graph where each node has a strict linear order over a set of…

Social and Information Networks · Computer Science 2023-12-27 Ahad N. Zehmakan

A random walk in $Z_+^2$ spatially homogeneous in the interior, absorbed at the axes, starting from an arbitrary point $(i_0,j_0)$ and with step probabilities drawn on Figure 1 is considered. The trivariate generating function of…

Probability · Mathematics 2013-07-04 Irina Kurkova , Kilian Raschel

We introduce the voter model on the infinite lattice with a slow membrane and investigate its hydrodynamic behavior and nonequilibrium fluctuations. The model is defined as follows: a voter adopts one of its neighbors' opinion at rate one…

Probability · Mathematics 2023-02-07 Xiaofeng Xue , Linjie Zhao

A broad set of empirical phenomenon in the study of social, economic and machine behaviour can be modelled as complex systems with averaging dynamics. However many of these models naturally result in consensus or consensus-like outcomes. In…

Multiagent Systems · Computer Science 2020-07-03 Orowa Sikder

We investigate how the topology of small-world networks affects the dynamics of the voter model for opinion formation. We show that, contrary to what occurs on regular topologies with local interactions, the voter model on small-world…

Statistical Mechanics · Physics 2009-11-07 Claudio Castellano , Daniele Vilone , Alessandro Vespignani

Collective decision making processes lie at the heart of many social, political and economic challenges. The classical voter model is a well-established conceptual model to study such processes. In this work, we define a new form of…

Adaptation and Self-Organizing Systems · Physics 2020-02-19 Leonhard Horstmeyer , Christian Kuehn

We introduce a 2-state opinion dynamics model where agents evolve by majority rule. In each update, a group of agents is specified whose members then all adopt the local majority state. In the mean-field limit, where a group consists of…

Statistical Mechanics · Physics 2009-11-10 P. L. Krapivsky , S. Redner

We survey the coevolutionary dynamics of network topology and group interactions in opinion formation, grounded on a coevolving nonlinear voter model. The coevolving nonlinear voter model incorporates two mechanisms: group interactions…

Physics and Society · Physics 2023-11-13 Byungjoon Min

We investigate choice-driven network growth. In this model, nodes are added one by one according to the following procedure: for each addition event a set of target nodes is selected, each according to linear preferential attachment, and a…

Statistical Mechanics · Physics 2014-07-25 P. L. Krapivsky , S. Redner

We propose an exactly solvable model for the dynamics of voters in a two-party system. The opinion formation process is modeled on a random network of agents. The dynamical nature of interpersonal relations is also reflected in the model,…

Physics and Society · Physics 2009-11-13 I. J. Benczik , S. Z. Benczik , B. Schmittmann , R. K. P. Zia

The $q$-voter model with independence is generalized to signed random graphs and studied by means of Monte Carlo simulations and theoretically using the mean field approximation and different forms of the pair approximation. In the signed…

Statistical Mechanics · Physics 2025-05-06 Andrzej Krawiecki , Tomasz Gradowski

This paper studies a class of consensus dynamics where the interactions between agents are affected by a time-varying unknown scaling factor. This situation is encountered in the control of robotic fleets over a wireless network or in…

Systems and Control · Electrical Eng. & Systems 2025-11-14 Zoltan Nagy , Irinel-Constantin Morarescu , Lucian Busoniu

This study investigates adversarial attacks conducted to distort voter model dynamics in complex networks. Specifically, a simple adversarial attack method is proposed to hold the state of opinions of an individual closer to the target…

Physics and Society · Physics 2022-07-07 Katsumi Chiyomaru , Kazuhiro Takemoto

The voter model on networks is crucial to understand opinion formation. Uni-directional social interactions are ubiquitous in real social networks whereas undirected interactions are intensively studied. We establish a voter model on a…

Physics and Society · Physics 2023-07-13 Yakun Wang , Bin Wu

Social influence plays an important role in human behavior and decisions. The sources of influence can be generally divided into external, which are independent of social context, or as originating from peers, such as family and friends. An…

Physics and Society · Physics 2016-10-19 Dan Braha , Marcus A. M. de Aguiar

We study opinion dynamics in a population of interacting adaptive agents voting on a set of complex multidimensional issues. We consider agents which can classify issues into for or against. The agents arrive at the opinions about each…

Physics and Society · Physics 2009-03-11 Renato Vicente , Andre C. R. Martins , Nestor Caticha

The adaptive voter model is a paradigmatic model in the study of opinion formation. Here we propose an extension for this model, in which conflicts are resolved by obtaining another opinion, and analytically study the time required for…

Physics and Society · Physics 2013-10-02 Tim Rogers , Thilo Gross