The replicator dynamics framework treats strategy frequencies as continuous deterministic variables, but finite populations exhibit stochastic drift that can override selection pressure near threshold boundaries.
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Strategy frequencies(what the framework treats as continuous variables)
How common different choices or behaviors are in a population—like what percentage of people use Strategy A versus Strategy B.
Threshold boundaries(where randomness becomes especially important)
Critical tipping points where a small change in numbers causes a big shift in what happens—like the moment a strategy becomes rare enough that chance events can wipe it out.
replicator dynamics(Evolutionary game theory)
A dynamic process governing strategy frequencies in a population that cannot introduce strategies absent from the initial population state.