An Incentive Mechanism for Reporting Phishing E-Mails Based on the Tripartite Evolutionary Game Model

Table 3

The stability analysis of the equilibrium points.

Equilibrium point	Eigenvalues of Jacobin matrix	Stability conditions
E1 (0, 0, 0)		The equilibrium point is the saddle point because
E2 (0, 0, 1)		The equilibrium point is the saddle point because and
E3 (0, 1, 0)		The equilibrium point is ESS, if ; otherwise, it is a saddle point
E4 (1, 0, 0)		The equilibrium point is the saddle point because and
E5 (1, 1, 0)		The equilibrium point is the saddle point because
E6 (1, 0, 1)		The equilibrium point is ESS, if ; otherwise, it is a saddle point
E7 (0, 1, 1)		The equilibrium point is ESS, if and ; otherwise, it is a saddle point
E8 (1, 1, 1)		The equilibrium point is ESS, if ; otherwise, it is a saddle point