egttools.numerical.numerical_.vectorized_replicator_equation_n_player

vectorized_replicator_equation_n_player()

Vectorized computation of the replicator dynamics for three-strategy N-player games.

Parameters:

  • x1 (numpy.ndarray) – Two-dimensional array containing the frequency of strategy 1 at each grid point.

  • x2 (numpy.ndarray) – Two-dimensional array containing the frequency of strategy 2 at each grid point.

  • x3 (numpy.ndarray) – Two-dimensional array containing the frequency of strategy 3 at each grid point.

  • payoff_matrix (numpy.ndarray) – Two-dimensional payoff table.

  • group_size (int) – Number of players in each interacting group.

Returns:

Replicator gradients for the three strategies over the grid.

Return type:

tuple[numpy.ndarray, numpy.ndarray, numpy.ndarray]

See also

egttools.replicator_equation_n_player, egttools.vectorized_replicator_equation

Vectorized computation of the replicator dynamics for three-strategy N-player game objects.

Parameters:

  • x1 (numpy.ndarray) – Two-dimensional array containing the frequency of strategy 1 at each grid point.

  • x2 (numpy.ndarray) – Two-dimensional array containing the frequency of strategy 2 at each grid point.

  • x3 (numpy.ndarray) – Two-dimensional array containing the frequency of strategy 3 at each grid point.

  • game (egttools.games.AbstractReplicatorGame) – Game object used to compute expected fitness values.

Returns:

Replicator gradients for the three strategies over the grid.

Return type:

tuple[numpy.ndarray, numpy.ndarray, numpy.ndarray]

See also

egttools.replicator_equation_n_player, egttools.vectorized_replicator_equation