Describing the Dynamics and Complexity of Matsumoto-Nonaka's Duopoly Model

Figure 8

We compute (27) for samples of length 𝑛=10000, 1<𝛼, 𝛽≤2, and constant step size ℎ=0.01 for both 𝛼 and 𝛽. The parameter 𝛼 is represented in 𝑋-axis. We draw in red the values of (𝛼,𝛽) such that (27) is greater than a fixed value 𝜖. In (a) 𝜖=0.1, and for (b) 𝜖=0.01.

(a) 𝜖=0.1

(b) 𝜖=0.01