Study on the Optimization of the Synergy between the Regulatory Body, Social Body, and Market Body in the Transportation Industry

Table 6

Stability achieved by the system in different cases under social supervision mechanism.

Equilibrium point	Value of row equation with trace	Case 1	Case 2	Case 3	Case 4	Stability
(0, 0)	Det Z =; Tr Z =	Det Z > 0; Tr Z < 0	Det Z < 0; Tr Z uncertain	Det Z < 0; Tr Z uncertain	Det Z > 0; Tr Z > 0	(1) Stable ESS; (2) Uncertain; (3) Uncertain; (4) Unstable
(0, 1)	Det Z = - tr Z =	Det Z > 0; Tr Z < 0	Det Z < 0; Tr Z uncertain	Det Z < 0; Tr Z uncertain	Det Z > 0; Tr Z > 0	(1) Stable ESS; (2) Unstable; (3) Uncertain; (4) Unstable
(1, 1)	Det Z =; Tr Z =	Det Z < 0; Tr Z uncertain	Det Z > 0; Tr Z > 0	Det Z > 0; Tr Z < 0	Det Z < 0; TrZ uncertain	(1) Unstable; (2) Unstable; (3) Stable ESS; (4) Uncertain
(1, 0)	Det Z =; Tr Z =	Det Z < 0; Tr Z uncertain	Det Z > 0; Tr Z < 0	Det Z > 0; Tr Z > 0	Det Z < 0; Tr Z uncertain	(1) Uncertain; (2) Stable ESS; (3) Unstable; (4) Uncertain