Replicator-Mutator Dynamics with Three Strategies
Replicator-Mutator Dynamics with Three Strategies
This Demonstration shows the phase portrait in an equilateral triangle of the replicator-mutator dynamics with three strategies. The parameters ≥0 denote the payoff that an -strategist obtains in an interaction with a -strategist. The parameter denotes the total fraction of mutants or entrants in the population. The parameters ≥0 denote the weights given by mutants to strategy , so is the fraction of mutants that adopt strategy . This Demonstration also calculates the critical points of the system and their corresponding eigenvalues, which are helpful in assessing the dynamic stability of the critical point.
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