Examples

The following examples give an idea of how to use EGTtools to model social dynamics:

• Hawk and dove dynamics
  • Evolutionary Dynamics of the Hawk-Dove Game in Infinite populations
    • Replicator equation
  • Evolutionary Dynamics of the Hawk-Dove Game in Finite populations
• Hawk and dove dynamics with new PairwiseComparison class
  • Evolutionary Dynamics of the Hawk-Dove Game in Infinite populations
    • Replicator equation
  • Evolutionary Dynamics of the Hawk-Dove Game in Finite populations
• Monte Carlo simulations
  • Estimate numerically the stationary distribution
    • We can also plot a single run
    • And can visualize what happens if we start several runs from random points in the simplex
    • And we can also compare how far our approximations are from the analytical results
• Fixation probabilities and Invasion diagram
  • Payoff matrix for a Normal Form Game
  • Select which strategies we want to analyse
• Instantiate the Normal Form Game
  • Now we instanciate the StochDynamics class to perform analytical calculations
  • Plot invasion diagram
• 2D Simplex plot
  • Evolutionary dynamics in infinite populations
    • Calculate gradients
  • Finite populations
    • Calculate gradients
    • Calculate stationary distribution
• 2D Simplex plot simplified
  • Evolutionary dynamics in infinite populations
    • Define payoff matrix
    • Plot the trajectories from the stationary points
    • Plot the gradient field using a streamplot
  • Stochastic Dynamics in finite populations - Moran process with pairwise comparison
    • Define the population size and the intensity of selection
    • Plot the gradient field and the stationary distribution
• General examples
  • The replicator dynamics
    • Replicator dynamics in a 2-simplex (3 strategies)
  • Stochastic Dynamics in Finite Populations - Moran process with pairwise comparison rule
    • Stochastic dynamics in a 1-Simplex (only 2 strategies)
    • Stochastic dynamics in a 2-simplex (3 strategies)

Projects using EGTtools

The EvoCRD provide an example of use of EGTtools do model dynamics in the Collective Risk Dilemma.

You can also find all these examples and a bit more here or launch the notebooks with Binder.