Complex Dynamics Analysis for a Cournot-Bertrand Mixed Game Model with Delayed Bounded Rationality

Table 1

The eigenvalues of the Jacobian matrix (14) evaluated at the boundary equilibrium points.

Equilibrium points	Eigenvalues
𝐸0	𝜆1=1+𝛽(1+𝑐), 𝜆2=1+𝛼(1−𝑐−𝑘)
𝐸1	𝜆1=1+𝛼(1−𝑐)(1−𝑘/2), 𝜆2=1−𝛽(1+𝑐)
𝐸2	𝜆1=1+𝛽𝑁/2(1−𝑘^2), 𝜆2=1−𝛼(1−𝑐−𝑑)

Notes: 𝑁=(1+2𝑐)(1−𝑘²)+𝑐𝑘+(1−𝑘).