Threshold learning dynamics on a fully connected network


A guide for using the applet
  
  • setup button initializes the system.

  • Start/Stop allows you to toggle the state of the applet between "running" and "paused".

  • num-players is the number of agents in the system.

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  • threshold is the fraction τ of neighbors agreeing with the external signal required to change to state.

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  • external-signal is the probability p that the external signal E is in state +1.

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  • initial condition-plus initial density of agents in state +1 at t = 0.
  • Density shows the number of agents in state +1 (blue) and agents in state -1 (red).

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  • Histrogram B+ shows the probability distribution B(k+) that a node in state +1 has a fraction k+ of neighbors in state -1.

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  • Histogram B- shows the probability distribution B(k-) that a node in state -1 has fraction of neighbor k- nodes in state +1.

Reference:

 J.C. González-Avella, V.M. Eguíluz, M. Marsili, F. Vega-Redondo, M. San Miguel, Threshold learning dynamics in social networks, arXiv:1008.3083v1, (2010)


Created by J.C. Gonzalez-Avella.