Market Share Delegation in a Bertrand Duopoly: Synchronisation and Multistability

Figure 1

(a), (b). The feasible set is depicted in white; the gray points are initial conditions producing unfeasible trajectories. (a) , , , and . (b) , , , and . (c) Critical curves of rank-0, , for system and the parameter values as in (b). (d) Critical curves of rank-1, , for the same parameter values as in panel (c). These curves separate the plane into the regions , , and , whose points have a different number of preimages.

(a)

(b)

(c)

(d)