Market Share Delegation in a Bertrand Duopoly: Synchronisation and Multistability

Figure 6

(a) Parameter values: , , , and . The Nash equilibrium for positive and negative values of . (b) If , the Nash equilibrium is unstable and a -period cycle is globally stable. (c) A complex attractor (black points) coexists with a -period cycle (white points) if , , , , and . (d) Coexisting attractors if , while .

(a)

(b)

(c)

(d)