Statistical complexity as a diagnostic of critical behavior in a 2D Sznajd model

  • 0Consejo Nacional de Investigaciones Científicas y Técnicas, Instituto de Física Enrique Gaviola, Av. Medina Allende s/n, Córdoba, Argentina.

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Summary

This summary is machine-generated.

A novel third ideology emerges spontaneously in a two-dimensional Sznajd model due to agent interactions. A critical social apathy level dictates opinion dominance and complex collective dynamics.

Area Of Science

  • Sociophysics
  • Computational Social Science
  • Agent-Based Modeling

Background

  • The Sznajd model is a well-established framework for studying opinion dynamics.
  • Previous models often assume fixed agent states or predefined ideological positions.

Purpose Of The Study

  • To investigate the spontaneous emergence of a third ideological position in a 2D Sznajd model.
  • To analyze the impact of social apathy on opinion dominance and system dynamics.
  • To characterize the collective behavior using complexity-entropy analysis.

Main Methods

  • Simulation of a two-dimensional Sznajd model with emergent third ideology.
  • Analysis of system behavior as a function of social apathy (fraction of nonparticipating agents).
  • Quantification of disorder-structure interplay using the complexity-entropy plane.

Main Results

  • A third ideological position emerges spontaneously from local agent interactions, not predefined states.
  • A critical apathy threshold was identified, separating distinct opinion dominance regimes.
  • The system demonstrates robustness to asymmetries in initial conditions.
  • Statistical complexity peaks near the transition region, indicating rich collective dynamics.

Conclusions

  • Agent interactions alone can lead to the emergence of novel ideological positions.
  • Social apathy is a critical parameter controlling opinion dynamics and system complexity.
  • The complexity-entropy plane effectively characterizes the transition to complex collective behavior.

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