Impulsivity in Binary Choices and the Emergence of Periodicity

Figure 2

(a) Payoff functions 𝐴(𝑥)=1.5𝑥, 𝐵(𝑥)=0.25+0.5𝑥. (b) Function 𝑓 obtained with 𝑔(⋅)=(2/𝜋)arctan(⋅), the same payoffs as in (a) and parameters 𝛿_𝐴=𝛿_𝐵=0.5, 𝜆=35. The interior equilibrium is unstable and the generic trajectory converges to the attractor shown around 𝑥^∗. (c) Bifurcation diagram obtained with the same values of parameters 𝛿and payoff functions as in (b) and bifurcation parameter 𝜆∈(0,70).

(a)

(b)

(c)