IFIMAR   20926
INSTITUTO DE INVESTIGACIONES FISICAS DE MAR DEL PLATA
Unidad Ejecutora - UE
artículos
Título:
Interacting Social Processes on Interconnected Networks
Autor/es:
LUCILA ALVAREZ ZUZEK; LIDIA A. BRAUNSTEIN; CRISTIAN E. LA ROCCA; FEDERICO VAZQUEZ
Revista:
PLOS ONE
Editorial:
PUBLIC LIBRARY SCIENCE
Referencias:
Lugar: San Francisco; Año: 2016 vol. 11 p. 1 - 1
ISSN:
1932-6203
Resumen:
We propose and study a model for the interplay between two differentdynamical processes --one for opinion formation and the other fordecision making-- on two interconnected networks $A$ and $B$. Theopinion dynamics on network $A$ corresponds to that of the M-model,where the state of each agent can take one of four possible values($S=-2,-1,1,2$), describing its level of agreement on a given issue.The likelihood to become an extremist ($S=pm 2$) or a moderate($S=pm 1$) is controlled by a reinforcement parameter $r ge 0$. Thedecision making dynamics on network $B$ is akin to that of theAbrams-Strogatz model, where agents can be either in favor ($S=+1$) oragainst ($S=-1$) the issue. The probability that an agent changes itsstate is proportional to the fraction of neighbors that hold theopposite state raised to a power $eta$. Starting from a polarizedcase scenario in which all agents of network $A$ hold positiveorientations while all agents of network $B$ have a negativeorientation, we explore the conditions under which one of the dynamicsprevails over the other, imposing its initial orientation. We findthat, for a given value of $eta$, the two-network system reaches aconsensus in the positive state (initial state of network $A$) whenthe reinforcement overcomes a crossover value $r^*(eta)$, while anegative consensus happens for $r
rds']