Table 2.
Nature and number of fixed points of replicator dynamics. Given the definition of , we identify the fixed points of the replicator dynamics, as well as their nature, for the different regimes associated with the possible values of the ratio F/N. Besides the trivial endpoints {0,1}, we also identify possible interior fixed points {xL, xR} satisfying and (see main text for additional details).
F/N<λ* | F/N=λ* | λ*<F/N≤1 | 1<F/N | |
---|---|---|---|---|
stable | 0 | 0 | 0, xR | 0,1 |
unstable | 1 | M/N, 1 | xL, 1 | xL |