egttools.analytical.utils

Functions

calculate_gradients	Calculates the gradients of selection of each of the states given in population_states.
check_if_point_in_unit_simplex	Checks if a point (in barycentric coordinates) is inside the unit simplex.
check_if_there_is_random_drift	Checks if there is random drift along the edge between two strategies in the simplex.
check_replicator_stability_pairwise_games	Calculates the stability of the roots assuming that they are from a system governed by the replicator equation (this function uses the Jacobian of the replicator equation in pairwise games to calculate the stability).
eigvals	Compute eigenvalues from an ordinary or generalized eigenvalue problem.
find_roots	Searches for the roots of the given differential equation.
find_roots_and_stability	Searches for the roots of the differential equation gradient_function and calculates the stability based on an estimate of the Jacobian.
get_pairwise_gradient_from_replicator	Calculate the gradient for strategy/type i at the edges of the simplex (when there are only two strategies in the population i and j).
get_pairwise_gradient_from_replicator_n_player	Calculate the gradient for strategy/type i at the edges of the simplex (when there are only two strategies in the population i and j).
replicator_equation	Produces the discrete time derivative of the replicator dynamics
replicator_equation_n_player	Replicator dynamics in N-player games
root	Find a root of a vector function.
sample_unit_simplex	Samples uniformly at random the unit simplex with nb_strategies dimensionse.

Classes

StochDynamics

A class containing methods to calculate the stochastic evolutionary dynamics of a population.