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The HoneyComb Paradigm for Research on Collective Human Behavior
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Agent-based neutral competition in two-community networks.

Kota Ishida1, Beata Oborny2, Michael T Gastner1

  • 1Division of Science, Yale-NUS College, 01-220 Singapore 138527, Singapore.

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|September 16, 2021
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Summary
This summary is machine-generated.

Neutral competition in networks, influenced by state transmission rates, leads to consensus. A new theory accurately predicts consensus times and state success probabilities even with incomplete network data.

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Area of Science:

  • Network science
  • Statistical physics
  • Mathematical biology

Background:

  • Neutral competition is a key process in biological and social networks.
  • It can be modeled as a random drift process on networks where nodes adopt neighbor states.
  • Reaching a consensus state is the typical outcome.

Purpose of the Study:

  • To investigate the impact of three limiting factors on neutral competition dynamics.
  • To analyze how community structure and update rules affect consensus time and state success.
  • To develop and validate a theoretical framework for predicting consensus in networks.

Main Methods:

  • Monte Carlo simulations were used to model neutral competition.
  • Networks with two communities were generated using a stochastic block model.
  • A heterogeneous mean-field theory was developed and compared with simulation results.

Main Results:

  • Community structure and update rules significantly influence state success probabilities and consensus time.
  • The heterogeneous mean-field theory demonstrated strong agreement with simulation outcomes.
  • The model successfully predicts consensus dynamics even with incomplete network data.

Conclusions:

  • The study provides a quantitative understanding of neutral competition in structured networks.
  • The developed theory offers a powerful tool for predicting consensus dynamics in complex systems.
  • This framework is applicable even when complete network information is unavailable.