Interacting social processes on interconnected networks

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 $A$ and $B$. The opinion 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 $r\ge 0$. The decision making dynamics on network $B$ is akin to that of the Abrams-Strogatz model, where agents can be either in favor ($S=+1$) or against ($S=-1$) 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 $\beta$. Starting from a polarized case scenario in which all agents of network $A$ hold positive orientations while all agents of network $B$ have a negative orientation, we explore the conditions under which one of the dynamics prevails over the other, imposing its initial orientation. We find that, for a given value of $\beta$, the two-network system reaches a consensus in the positive state (initial state of network $A$) when the reinforcement overcomes a crossover value $r^{\ast }(\beta )$, while a negative consensus happens for $r<r^{\ast }(\beta )$. In the $r-\beta$ phase space, the system displays a transition at a critical threshold ${\beta }_c$, from a coexistence of both orientations for $\beta <{\beta }_c$ to a dominance of one orientation for $\beta >{\beta }_c$. We develop an analytical mean-field approach that gives an insight into these regimes and shows that both dynamics are equivalent along the crossover line $(r^{\ast },{\beta }^{\ast })$.

25 pages, 6 figures

References in corpus (12)

• Statistical physics of social dynamics
• The structure and dynamics of multilayer networks
• Diffusion dynamics on multiplex networks
• Network Physiology reveals relations between network topology and physiological function
• Analytical Solution of the Voter Model on Disordered Networks
• Absorbing and Shattered Fragmentation Transitions in Multilayer Coevolution
• Epidemic Model with Isolation in Multilayer Networks
• Immunization strategy for epidemic spreading on multilayer networks
• Discrete surface growth process as a synchronization mechanism for scale free complex networks
• Rescue of endemic states in interconnected networks with adaptive coupling
• A unified approach to percolation processes on multiplex networks
• Conservative model for synchronization problems in complex networks

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• Influence of Information Blocking on the Spread of Virus in Multilayer Networks