Dynamic Analysis of a Simple Cournot Duopoly Model Based on a Computed Cost

Figure 8

(a) The two-dimensional bifurcation diagram at the first set of values, . The gray color represents the stability region for while the other colors are for different period cycles as given in the graph. (b) The basin of attraction of the period-7 cycle at the values . (c) The basin of attraction of chaotic attractor at the values .

(a)

(b)

(c)