Dynamical properties of the herding voter model with and without noise

Rozanova, Liudmila; Boguñá, Marián

doi:10.1103/physreve.96.012310

Cited by 9 publications

(4 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Initially termed as "inertia" [25], it was shown that the slowing down of the microscopic dynamics induced via aging actually decreased the time needed to reach the macroscopically ordered state state of consensus. In this respect, and in alignment with previous studies [25][26][27][28][29][30][31], we consider that aging acts on the mechanism associated with social contagion.…”

Section: Introductionsupporting

confidence: 64%

Aging in Some Opinion Formation Models: A Comparative Study

Llabrés,

Oliver-Bonafoux,

Anteneodo

et al. 2024

Physics

View full text Add to dashboard Cite

Changes of mind can become less likely the longer an agent has adopted a given opinion state. This resilience or inertia to change has been called “aging”. We perform a comparative study of the effects of aging on the critical behavior of two standard opinion models with pairwise interactions. One of them is the voter model, which is a two-state model with a dynamic that proceeds via social contagion; another is the so-called kinetic exchange model, which allows a third (neutral) state, and its formed opinion depends on the previous opinions of both interacting agents. Furthermore, in the noisy version of both models, random opinion changes are also allowed, regardless of the interactions. Due to aging, the probability of changing diminishes with the age, and to take this into account, we consider algebraic and exponential kernels. We investigate the situation where aging acts only on pairwise interactions. Analytical predictions for the critical curves of the order parameters are obtained for the opinion dynamics on a complete graph, in good agreement with agent-based simulations. For both models considered, the consensus is optimized via an intermediate value of the parameter that rules the rate of decrease of the aging factor.

show abstract

Section: Introductionsupporting

confidence: 64%

Aging in Some Opinion Formation Models: A Comparative Study

Llabrés,

Oliver-Bonafoux,

Anteneodo

et al. 2024

Physics

View full text Add to dashboard Cite

show abstract

“…We study the effect of this type of aging in the noisy voter model, also known as the Kirman model [9]. It has appeared in several contexts, such as percolation [33], surface-catalytic reactions [34,35], probability theory [36], opinion dynamics [37][38][39][40][41], and economics [9,42,43]. The dynamics of this binary-state model is driven by two mechanisms: noise, defined as spontaneous state changes at a rate a, and a pair-wise interaction by which an element blindly copies the state of a randomly chosen neighbor.…”

Section: Introductionmentioning

confidence: 99%

Aging-induced continuous phase transition

et al. 2018

View full text Add to dashboard Cite

Aging is considered as the property of the elements of a system to be less prone to change states as they get older. We incorporate aging into the noisy voter model, a stochastic model in which the agents modify their binary state by means of noise and pair-wise interactions. Interestingly, due to aging the system passes from a finite-size discontinuous transition between ordered (ferromagnetic) and disordered (paramagnetic) phases to a second order phase transition, well defined in the thermodynamic limit, belonging to the Ising universality class. We characterize it analytically by finding the stationary solution of an infinite set of mean field equations. The theoretical predictions are tested with extensive numerical simulations in low dimensional lattices and complex networks. We finally employ the aging properties to understand the symmetries broken in the phase transition.

show abstract

“…Substituting (15) and ( 16) into (12), after taking the integral, one can obtain an exact expression for the stationary probability density ρ st (m). However, to describe the behavior of our system, it will be enough to find and study the stability of the extrema of the function ρ st (m).…”

Section: Analytical Resultsmentioning

confidence: 99%

Model of opinion dynamics caused by information pressure in multi-agent system with stochastic activation of links

Savitskaya,

Fedorova

2024

Phys. Scr.

View full text Add to dashboard Cite

The dynamic properties of a modified nonlinear noisy voter model on a square lattice are studied in the paper. The introduced modifications are as follows. First, the changes of the binary variable (opinion) at the voters (agents) are caused by avalanche-like perturbations of the system. Secondly, the structure of inter-agent links is not static. Its temporal evolution is due to a new characteristic of the agent called ``activity''. It determines the probability for the agent to be linked with its nearest neighbors at a given time moment. In addition we introduce a binary variable that changes randomly in time (an ``external opinion''). According to the proposed rules for opinion changes, an agent that unlinked to neighbors changes its opinion to a current value of the external opinion, regardless of the opinions of other agents. A linked agent can copy the opinion of its neighbor during an avalanche process. Analytically and numerically, we show that the agents' ``activity'' distribution and the time-averaged value of the external opinion completely determines the mode of opinion dynamics. The phase diagram for the model under consideration is obtained. In the case of large values of averaged agents' ``activity'' the system switches between two consensus states spending the most of time in the consensus with shared opinion corresponding to the prevailing value of the external opinion. For small value of averaged ``activity'' the system tends to the state where the opposite opinions coexist, but agents predominate with opinion corresponding to sign of the time-averaged value of the external opinion. We demonstrate that the resulting model reflects the main features of the behavior of real multi-agent systems where the external information inflows into the system and, spreading among agents, drives opinion dynamics.

show abstract

Dynamical properties of the herding voter model with and without noise

Cited by 9 publications

References 29 publications

Aging in Some Opinion Formation Models: A Comparative Study

Aging in Some Opinion Formation Models: A Comparative Study

Aging-induced continuous phase transition

Model of opinion dynamics caused by information pressure in multi-agent system with stochastic activation of links

Contact Info

Product

Resources

About