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In recent years, opinion dynamics has received an increasing attention, and various models have been introduced and evaluated mainly by simulation. In this study, we introduce and study a dynamical model inspired by the so-called `bounded…

Dynamical Systems · Mathematics 2018-11-07 Sergei Yu. Pilyugin , M. C. Campi

Consider a community where initially, each individual is positive or negative regarding a reform proposal. In each round, individuals gather randomly in fixed rooms of different sizes, and all individuals in a room agree on the majority…

Data Structures and Algorithms · Computer Science 2019-05-01 Bernd Gärtner , Ahad N. Zehmakan

The Axelrod model is a spatial stochastic model for the dynamics of cultures which, similarly to the voter model, includes social influence, but differs from the latter by also accounting for another social factor called homophily, the…

Probability · Mathematics 2011-07-25 Nicolas Lanchier , Jason Schweinsberg

The complexity of human behaviour can lead to very unpredictable patterns in social activity and structure. Here we demonstrate the instability of a community network controlled by majority ruling, where an element adopts the most popular…

Cellular Automata and Lattice Gases · Physics 2016-05-17 V. F. Kusmartsev , F. V. Kusmartsev

We introduce a simple open-ended model that describes the emergence of a shared vocabulary. The ordering transition toward consensus is generated only by an agreement mechanism. This interaction defines a finite and small number of states,…

Physics and Society · Physics 2009-02-13 E. Brigatti , I. Roditi

Agent-based models of the binary naming game are generalized here to represent a family of models parameterized by the introduction of two continuous parameters. These parameters define varying listener-speaker interactions on the…

Physics and Society · Physics 2014-10-17 Andrew M. Thompson , Boleslaw K. Szymanski , Chjan C. Lim

It is interesting and of significant importance to investigate how network structures co-evolve with opinions. The existing models of such co-evolution typically lead to the final states where network nodes either reach a global consensus…

Physics and Society · Physics 2017-10-25 Yi Yu , Gaoxi Xiao , Guoqi Li , Wee Peng Tay , Hao Fatt Teoh

We propose a model for diffusion of two opposite opinions. Here, the decision to be taken by each individual is a random variable which depends on the tendency of the population, as well on its own trend characteristic. The influence of the…

Probability · Mathematics 2020-01-08 Manuel González-Navarrete , Rodrigo Lambert

Numerous models in opinion dynamics focus on the temporal dynamics within a single electoral unit (e.g., country). The empirical observations, on the other hand, are often made across multiple electoral units (e.g., polling stations) at a…

Physics and Society · Physics 2019-10-11 Aleksejus Kononovicius

We consider the convergence time for solving the binary consensus problem using the interval consensus algorithm proposed by B\' en\' ezit, Thiran and Vetterli (2009). In the binary consensus problem, each node initially holds one of two…

Probability · Mathematics 2012-02-07 Moez Draief , Milan Vojnovic

Social consensus is important for society. Sometimes the success of society depends on a consensus (e.g. the decision to pay taxes or to commit to the constitution). Examples for continuous opinion dynamics are discussions about tax rates…

Physics and Society · Physics 2008-03-06 Jan Lorenz

Opinion dynamics on networks has wide applications to empirical and engineered systems and profound prospects in the general study of complex systems. Many efforts have been devoted to understanding how opinion dynamics is affected by…

Physics and Society · Physics 2019-04-12 Mingwu Li , Harry Dankowicz

In linear models of consensus dynamics, the state of the various agents converges to a value which is a convex combination of the agents' initial states. We call it democratic if in the large scale limit (number of agents going to infinity)…

Systems and Control · Computer Science 2015-02-17 Fabio Fagnani , Jean-Charles Delvenne

Most of the distributed protocols for multi-agent consensus assume that the agents are mutually cooperative and "trustful," and so the couplings among the agents bring the values of their states closer. Opinion dynamics in social groups,…

Systems and Control · Computer Science 2017-10-16 Anton V. Proskurnikov , Alexey Matveev , Ming Cao

We consider two-alternative elections where voters' preferences depend on a state variable that is not directly observable. Each voter receives a private signal that is correlated to the state variable. Voters may be "contingent" with…

Computer Science and Game Theory · Computer Science 2022-06-15 Grant Schoenebeck , Biaoshuai Tao

We study a generalization of the voter model on complex networks, focusing on the scaling of mean exit time. Previous work has defined the voter model in terms of an initially chosen node and a randomly chosen neighbor, which makes it…

Statistical Mechanics · Physics 2015-05-13 Casey M. Schneider-Mizell , Leonard M. Sander

We study the formation of public opinion in a poll process where the current score is open to public. The voters are assumed to vote probabilistically for or against their own preference considering the group opinion collected up to then in…

Physics and Society · Physics 2018-05-23 Hyun Keun Lee , Yong Woon Kim

For a binary choice problem, the spatial coordination of decisions in an agent community is investigated both analytically and by means of stochastic computer simulations. The individual decisions are based on different local information…

Statistical Mechanics · Physics 2009-11-07 Frank Schweitzer , Joerg Zimmermann , Heinz Muehlenbein

In many real-world complex systems, the time-evolution of the network's structure and the dynamic state of its nodes are closely entangled. Here, we study opinion formation and imitation on an adaptive complex network which is dependent on…

Physics and Society · Physics 2016-04-11 Marc Wiedermann , Jonathan F. Donges , Jobst Heitzig , Wolfgang Lucht , Jürgen Kurths

We investigate consensus formation and the asymptotic consensus times in stylized individual- or agent-based models, in which global agreement is achieved through pairwise negotiations with or without a bias. Considering a class of…

Physics and Society · Physics 2011-06-30 W. Zhang , C. Lim , S. Sreenivasan , J. Xie , B. K. Szymanski , G. Korniss