Replicator Equation - Relationships To Other Equations

Relationships To Other Equations

The continuous replicator equation on types is equivalent to the Generalized Lotka–Volterra equation in dimensions. The transformation is made by the change of variables

where is the Lotka–Volterra variable.

The continuous replicator dynamic is also equivalent to the Price equation (see Page & Nowak's (2002) paper Unifying Evolutionary Dynamics).