Exact time-dependent dynamics of discrete binary choice models

  title={Exact time-dependent dynamics of discrete binary choice models},
  author={James Holehouse and Jos{\'e} Moran},
  journal={Journal of Physics: Complexity},
We provide a generic method to find full dynamical solutions to binary decision models with interactions. In these models, agents follow a stochastic evolution where they must choose between two possible choices by taking into account the choices of their peers. We illustrate our method by solving Kirman and Föllmer’s ant recruitment model for any number N of discrete agents and for any choice of parameters, recovering past results found in the limit N → ∞. We then solve extensions of the ant… 

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