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Related Experiment Video

Updated: Dec 10, 2025

Real-time Electrophysiology: Using Closed-loop Protocols to Probe Neuronal Dynamics and Beyond
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Local connectivity effects in learning and coordination dynamics in a two-layer network.

Haydée Lugo1, Juan Carlos González-Avella2, Maxi San Miguel3

  • 1ICAE and Department of Economic Analysis, Universidad Complutense de Madrid, 28223 Madrid, Spain.

Chaos (Woodbury, N.Y.)
|September 3, 2020
PubMed
Summary
This summary is machine-generated.

Local network connectivity disrupts anticoordination and chimera states in learning and coordination models. These local effects, particularly in coordination networks, influence equilibrium selection, favoring Pareto-dominant outcomes over risk-dominant ones.

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Area of Science:

  • Complex systems
  • Network science
  • Game theory

Background:

  • Anticoordination and chimera states are observed in two-layer models of learning and coordination within fully connected networks.
  • These states involve intra-layer learning dynamics and inter-layer coordination games.

Purpose of the Study:

  • To investigate the robustness of anticoordination and chimera states against local effects introduced by random network connectivity.
  • To analyze how local connectivity impacts equilibrium selection in asymmetric coordination games.

Main Methods:

  • Modeling two-layer networks with intra-layer learning and inter-layer coordination games.
  • Introducing local connectivity in random networks to study deviations from fully connected models.
  • Identifying threshold values for mean degree to determine the persistence of states.

Main Results:

  • Local effects, dependent on mean network degree, prevent anticoordination and chimera states below critical thresholds.
  • Local effects in learning networks are more critical for anticoordination states, while coordination networks are more influential for chimera states.
  • Local connectivity favors Pareto-dominant equilibrium selection over risk-dominant equilibrium in asymmetric coordination games.

Conclusions:

  • Local network structure significantly impacts the emergence and stability of complex states like anticoordination and chimera.
  • The interplay between learning and coordination dynamics is sensitive to network topology, with inter-layer connectivity playing a crucial role in equilibrium selection.