Tutorials

The egttools library is structured in a way that allows the user to apply all analytical and numerical methods implemented in the library to any Game, as long as it follows a common interface. It also provides several plotting functions and classes to help the user visualize the result of the models. The following figure shows, at a high level, what is the intended structure of egttools.

In the following links you may find more information and examples about how to use the analytical and numerical methods implemented in egttools; how to implement new Games; and how to implement new strategies or behaviors for the existing games:

• Create a new game
  • Implementing a new game from scratch: the AbstractGame class
  • Simplifying game implementation: AbstractTwoPLayerGame and AbstractNPlayerGame classes
  • Example: The N-player Stag-Hunt Game
  • What if you already have calculated a matrix of expected payoffs?
  • List of implemented games
• Create new behaviors for existing games
  • Recommendations on implementing strategies for a new game
  • Implementing new strategies for a Normal Form Game
• Apply analytical methods
  • The replicator dynamics
    • 2-player games
    • N-player games
  • Stochastic dynamics in finite populations: the pairwise comparison rule
    • Small Mutation Limit (SML)
    • How to use this model in EGTtools
• Apply numerical methods
  • Estimate fixation probabilities
  • Estimate stationary distributions
  • Estimate strategy distributions
  • Run a single simulation
  • Evolve a population for a given number of rounds
• Visualizing results
  • Populations with 2 strategies
    • The gradient of selection and stability in infinite populations
    • The gradient of selection in finite populations
    • Plotting the stationary distribution
  • Populations with 3 strategies
    • The Simplex2D class
    • The gradient of selection and stability in infinite populations
    • The gradient of selection and stationary distribution in finite populations
  • Populations with more than 3 strategies
• Utility functions
• References