Phase diagram showing the optimal strategy as a function of the parameters ξ and f∗, which describe the environmental response. In the shaded area, switching is the optimal strategy; however, in the open area, the nonswitching strategy leads to a larger average population fitness. The other parameters are Δγ = 1 and kB = 1. The solid line shows the phase boundary for α = −0.5, whereas the dotted and dashed lines correspond to α = −0.99 and α = 0.