Figure 3.

The central diagram corresponds to the space spanning the reduced variables $(\overline{h},\overline{c})$. We distinguish six phases depending on the dominance of the LEB of each replicator type, $\{\mathbf{S},\mathbf{H},\mathbf{P}\}$. (a) $\mathbf{S}$-dominant (the simple replicator LEB exceeds that of both parabolic and hyperbolic); (b) $\mathbf{P}/\mathbf{S}$ i.e., at low densities, it is $\mathbf{S}$-dominant, while, for $x>x_{ps}$ we observe $\mathbf{S}$ dominance; (c) $\mathbf{P}$-dominant at all density values; (d) $\mathbf{P}/\mathbf{H}$ $\mathbf{P}$ at low densities and $\mathbf{H}$-dominant for $x>x_{ph}$; (e) $\mathbf{P}/\mathbf{S}/\mathbf{H}$ where the three replicators share dominance at some point, jumping orderedly at density values $x_{ps}<x_{sh}$; (f) here simple replicators have a higher LEB at low densities than parabolic ones, but hyperbolic ones take over at high densities, $x>x_{sh}$. Numerical values of $(\overline{h},\overline{c})$ for each plot are: (a) (0.8, 0.8); (b) (1.42, 0.8); (c) (1.82, 0.8); (d) (1.5, 2); (e) (1.125, 1.5); (f) (0.75, 1.5), while $\alpha =0.5$ for all graphs.