INVESTIGADORES
BALENZUELA Pablo
artículos
Título:
Modeling opinion dynamics: Theoretical analysis and continuous approximation
Autor/es:
PINASCO, JUAN PABLO; SEMESHENKO, VIKTORIYA; BALENZUELA, PABLO
Revista:
CHAOS, SOLITONS AND FRACTALS
Editorial:
PERGAMON-ELSEVIER SCIENCE LTD
Referencias:
Lugar: Amsterdam; Año: 2017 vol. 98 p. 210 - 215
ISSN:
0960-0779
Resumen:
Frequently we revise our first opinions after talking over with other individuals because we get convinced. Argumentation is a verbal and social process aimed at convincing. It includes conversation and persuasion and the agreement is reached because the new arguments are incorporated. Given the wide range of opinion formation mathematical approaches, there are however no models of opinion dynamics withnonlocal pair interactions analytically solvable. In this paper we present a novel analytical framework developed to solve the master equations with non-local kernels. For this we used a simple model of opinion formation where individuals tend to get more similar after each interactions, no matter their opinion differences, giving rise to nonlinear differential master equation with non-local terms. Simulation results show an excellent agreement with results obtained by the theoretical estimation.