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Area of Science:

  • Complex systems
  • Social dynamics
  • Agent-based modeling

Background:

  • The binary naming game models opinion formation in multiagent systems.
  • External fields can represent mass media influence on collective behavior.

Purpose of the Study:

  • To investigate the impact of external mass media fields on opinion dynamics in the binary naming game.
  • To analyze how single and competing external fields alter population opinion and equilibrium states.

Main Methods:

  • Phenomenological interpretation of external fields as mass media.
  • Mean-field approximation and numerical simulations on various network topologies.
  • Analysis of agent dynamics under periodic external field influence.

Main Results:

  • A single external field can reverse majority opinion above specific frequency and effectiveness thresholds.
  • Two competing external fields can lead to periodic equilibria with reversed average opinion densities.
  • These equilibria emerge when message frequencies are close or equal with specific time shifts.

Conclusions:

  • The interplay between external fields and internal agent dynamics drives opinion reversal and periodic equilibria.
  • The naming game model exhibits characteristics of first- or second-mover advantage depending on parameters.
  • Mass media can significantly manipulate collective opinion and create unexpected stable states.