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Interacting Social Processes on Interconnected Networks.

Lucila G Alvarez-Zuzek1, Cristian E La Rocca1, Federico Vazquez2

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Summary
This summary is machine-generated.

This study models opinion formation and decision-making on interconnected networks. Findings reveal that reinforcement strength determines whether positive or negative consensus prevails, with a critical threshold influencing dynamics.

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Area of Science:

  • Complex Systems
  • Social Dynamics
  • Network Science

Background:

  • Investigates the interplay between opinion formation (M-model) and decision-making (Abrams-Strogatz model) on two interconnected networks.
  • Models agent states ranging from moderate to extremist opinions and binary decisions (favor/against).
  • Examines dynamics under a polarized initial condition where one network is positive and the other is negative.

Purpose of the Study:

  • To model and analyze the emergent behavior of two coupled dynamical processes on interconnected networks.
  • To determine the conditions under which opinion formation or decision-making dynamics dominate.
  • To explore the phase space of reinforcement (r) and influence power (β) parameters.

Main Methods:

  • Proposed a novel model combining M-model opinion dynamics and Abrams-Strogatz decision-making dynamics on two interconnected networks.
  • Simulated system behavior starting from a polarized state.
  • Developed an analytical mean-field approach to understand emergent consensus and phase transitions.

Main Results:

  • A crossover value r*(β) was identified; reinforcement above this leads to positive consensus, while below it results in negative consensus.
  • A critical threshold βc was found, distinguishing between coexistence of orientations (β < βc) and dominance of one orientation (β > βc).
  • The mean-field approach confirmed the equivalence of both dynamics along the crossover line (r*, β*).

Conclusions:

  • The interplay between opinion formation and decision-making is sensitive to reinforcement and influence parameters.
  • The system exhibits distinct phases of consensus, coexistence, and dominance based on parameter values.
  • The study provides a framework for understanding emergent social behaviors in interconnected systems.