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Evolution stabilizes consensus in interdependent populations. Without selection, consensus states are unstable and fluctuate, but with selection, only a few evolutionarily stable consensus states emerge.

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Area of Science:

  • Social dynamics
  • Evolutionary game theory
  • Complex systems

Background:

  • Consensus is prevalent in natural and social systems.
  • Existing research often examines isolated structures, leaving consensus dynamics in interdependent populations understudied.
  • Interdependent structures are ubiquitous in real-world scenarios.

Purpose of the Study:

  • To investigate the dynamics of consensus in interdependent populations.
  • To explore the impact of natural selection on consensus formation within these populations.
  • To determine the conditions under which consensus states become stable and evolutionarily robust.

Main Methods:

  • Utilized a two-strategy game model to simulate conflict and strategy adoption.
  • Analyzed consensus dynamics under conditions with and without natural selection.
  • Defined consensus as a consistent fraction of the population adopting a specific strategy across diverse interactive structures.

Main Results:

  • In the absence of selection, all consensus states were found to be stable but not evolutionarily stable, leading to potential fluctuations between states.
  • The introduction of natural selection resulted in a limited set of stable consensus states that were also evolutionarily stable.
  • Selection was identified as a critical factor in stabilizing consensus.

Conclusions:

  • Natural selection plays a crucial role in achieving stable and evolutionarily robust consensus in interdependent populations.
  • Understanding evolutionary mechanisms is key to explaining persistent consensus in complex social and natural systems.
  • The study provides insights into the conditions favoring stable collective behavior in interactive networks.