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Noisy kinetic-exchange opinion model with aging.
Vieira, Allan R; Llabrés, Jaume; Toral, Raúl; Anteneodo, Celia.
Affiliation
  • Vieira AR; Department of Physics, <a href="https://ror.org/01dg47b60">Pontifical Catholic University of Rio de Janeiro, PUC-Rio</a>, Rua Marquês de São Vicente, 225, 22451-900 Rio de Janeiro, Brazil.
  • Llabrés J; <a href="https://ror.org/00pfxsh56">Instituto de Física Interdisciplinar y Sistemas Complejos IFISC</a> (CSIC-UIB), Campus Universitat de les Illes Balears, 07122 Palma de Mallorca, Spain.
  • Toral R; <a href="https://ror.org/00pfxsh56">Instituto de Física Interdisciplinar y Sistemas Complejos IFISC</a> (CSIC-UIB), Campus Universitat de les Illes Balears, 07122 Palma de Mallorca, Spain.
  • Anteneodo C; Department of Physics, <a href="https://ror.org/01dg47b60">Pontifical Catholic University of Rio de Janeiro, PUC-Rio</a>, Rua Marquês de São Vicente, 225, 22451-900 Rio de Janeiro, Brazil.
Phys Rev E ; 109(6-1): 064119, 2024 Jun.
Article in En | MEDLINE | ID: mdl-39020888
ABSTRACT
We study the critical behavior of a noisy kinetic opinion model subject to resilience to change depending on aging, defined as the number of interactions before a change of opinion state. In this model, the opinion of each agent can take three discrete values, the extreme ones ±1, and also the intermediate value 0, and it can evolve through kinetic exchange when interacting with another agent, or independently, by stochastic choice (noise). The probability of change by pairwise interactions depends on the age that the agent has remained in the same state, according to a given kernel. We particularly develop the cases where the probability decays either algebraically or exponentially with the age, and we also consider the anti-aging scenario where the probability increases with the age, meaning that it is more likely to change mind the longer the persistence in the current state. For the opinion dynamics in a complete graph, we obtain analytical predictions for the critical curves of the order parameters, in perfect agreement with agent-based simulations. We observe that sufficiently weak aging (slow change of the kernel with the age) favors partial consensus with respect to the aging-insensitive scenario, while for sufficiently strong aging, as well as for anti-aging, the opposite trend is observed.

Full text: 1 Collection: 01-internacional Database: MEDLINE Language: En Journal: Phys Rev E Year: 2024 Document type: Article Affiliation country: Brazil Country of publication: United States

Full text: 1 Collection: 01-internacional Database: MEDLINE Language: En Journal: Phys Rev E Year: 2024 Document type: Article Affiliation country: Brazil Country of publication: United States