Evolutionary Dynamics
Replicator dynamics and evolutionarily stable strategies
Watch populations evolve under selection pressure. The replicator equation drives strategies with above-average fitness to grow. Phase portraits reveal basins of attraction and ESS stability.
| Hawk | Dove | |
|---|---|---|
| Hawk | -1 | 2 |
| Dove | 0 | 1 |
Phase Line (dx/dt as function of x)
Population Dynamics Over Time
x(Hawk)x(Dove)
Interior rest point: x* = 0.500(ESS — asymptotically stable)
Replicator dynamics: strategies with above-average fitness grow. Filled circles are stable rest points (ESS); hollow circles are unstable.