Interacting social processes on interconnected networks
L.G. Alvarez-Zuzek, C.E. La Rocca, F. Vazquez, L.A. Braunstein

TL;DR
This paper models the interaction between opinion formation and decision-making processes on interconnected networks, revealing how initial conditions and parameters influence consensus and dominance of orientations.
Contribution
It introduces a coupled model combining the M-model for opinions and Abrams-Strogatz for decisions on interconnected networks, analyzing phase transitions and dominance regimes.
Findings
Consensus in positive orientation when reinforcement exceeds a threshold
System exhibits a phase transition at a critical beta value
Analytical mean-field approach explains the regimes and crossover conditions
Abstract
We propose and study a model for the interplay between two different dynamical processes --one for opinion formation and the other for decision making-- on two interconnected networks and . The opinion dynamics on network corresponds to that of the M-model, where the state of each agent can take one of four possible values (), describing its level of agreement on a given issue. The likelihood to become an extremist () or a moderate () is controlled by a reinforcement parameter . The decision making dynamics on network is akin to that of the Abrams-Strogatz model, where agents can be either in favor () or against () the issue. The probability that an agent changes its state is proportional to the fraction of neighbors that hold the opposite state raised to a power . Starting from a polarized case scenario in which…
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