Analytical and Numerical Treatment of Continuous Ageing in the Voter Model [PDF]
Entropy, 2022 The conventional voter model is modified so that an agent’s switching rate depends on the ‘age’ of the agent—that is, the time since the agent last switched opinion. In contrast to previous work, age is continuous in the present model.
Joseph W. Baron +3 more
doaj +2 more sources
Contrarian Voter Model under the Influence of an Oscillating Propaganda: Consensus, Bimodal Behavior and Stochastic Resonance [PDF]
Entropy, 2022 We study the contrarian voter model for opinion formation in a society under the influence of an external oscillating propaganda and stochastic noise. Each agent of the population can hold one of two possible opinions on a given issue—against or in favor—
Maria Cecilia Gimenez +2 more
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A Veritable Zoology of Successive Phase Transitions in the Asymmetric q-Voter Model on Multiplex Networks [PDF]
Entropy, 2020 We analyze a nonlinear q-voter model with stochastic noise, interpreted in the social context as independence, on a duplex network. The size of the lobby q (i.e., the pressure group) is a crucial parameter that changes the behavior of the system.
Anna Chmiel +3 more
doaj +2 more sources
Generalized Independence in the q-Voter Model: How Do Parameters Influence the Phase Transition? [PDF]
Entropy, 2020 We study the q-voter model with flexibility, which allows for describing a broad spectrum of independence from zealots, inflexibility, or stubbornness through noisy voters to self-anticonformity.
Angelika Abramiuk +1 more
doaj +2 more sources
Consensus, Polarization and Hysteresis in the Three-State Noisy q-Voter Model with Bounded Confidence [PDF]
Entropy, 2022 In this work, we address the question of the role of the influence of group size on the emergence of various collective social phenomena, such as consensus, polarization and social hysteresis.
Maciej Doniec +2 more
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Discontinuous phase transitions in the multi-state noisy q-voter model: quenched vs. annealed disorder [PDF]
Scientific Reports, 2021 We introduce a generalized version of the noisy q-voter model, one of the most popular opinion dynamics models, in which voters can be in one of $$s \ge 2$$ s ≥ 2 states.
Bartłomiej Nowak +2 more
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Is Independence Necessary for a Discontinuous Phase Transition within the q-Voter Model? [PDF]
Entropy, 2019 We ask a question about the possibility of a discontinuous phase transition and the related social hysteresis within the q-voter model with anticonformity.
Angelika Abramiuk +2 more
doaj +2 more sources
Composition of the Influence Group in the q-Voter Model and Its Impact on the Dynamics of Opinions [PDF]
EntropyDespite ample research devoted to the non-linear q-voter model and its extensions, little or no attention has been paid to the relationship between the composition of the influence group and the resulting dynamics of opinions.
Tomasz Weron +2 more
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Winning Opinion in the Voter Model: Following Your Friends’ Advice or That of Their Friends? [PDF]
EntropyWe investigate a variation of the classical voter model where the set of influencing agents depends on an individual’s current opinion. The initial population is made up of a random sample of equally sized sub-populations for each state, and two types of
Francisco J. Muñoz, Juan Carlos Nuño
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Hydrodynamics of the Voter Model
Annals of Probability, 1983 We study the voter model on $\mathbb{Z}^d, d \geqq 3$, for a sequence $\mu^\varepsilon$ of initial states which have a gradient in the mean magnetization of the order $\varepsilon, \varepsilon \rightarrow 0$. We prove that the magnetization field $m^\varepsilon(f, t) = \varepsilon^d \sum f(\varepsilon x)\eta(x, \varepsilon^{-2}t)$ tends to a ...
Errico Presutti, Herbert Spohn
exaly +4 more sources