egttools.plotting.simplified.replicator_equation¶

replicator_equation(x, payoffs)[source]¶

Compute the time derivative of the replicator dynamics for 2-player games.

This function implements the standard replicator equation for continuous-time dynamics in infinite populations under 2-player payoff structures.

Parameters:

x (ndarray of shape (n,)) – Vector of strategy frequencies in the population.
payoffs (ndarray of shape (n, n)) – Payoff matrix where entry [i, j] indicates the payoff of strategy i against j.

Returns:

Time derivative of the frequency vector under replicator dynamics.

Return type:

ndarray of shape (n,)