Research Article

Insurance Crisis, Legal Environment, and the Sustainability of Professional Liability Insurance Market in the Construction Industry: Based on the US Market

Table 4

Determinant Det(J) and trace Tr(J) of the equilibrium point under various state conditions.

BalanceDeterminant Det(J)State 1State 2State 3State 4
Trace Tr(J)

E1 (0, 0)(CD) (F − H)+ESS+Unstable+Unstable+ESS
C − D + F − H++

E2 (0, 1)(A − B) (H − F)UnstableUnstable+ESS+Unstable
A − B + H − F+

E3 (1, 1)(B − A) (G − E)+Unstable+ESS+Unstable+ESS
B − A + G − E++

E4 (1, 0)(D − C) (E − G)UnstableUnstable+ESS+Unstable
D − C + E − G+

E5 (X, Y)UnstableUnstable+Saddle point+Saddle point
00000

Uncertainty; when Det(J)> and Tr(J) < 0, this point is ESS; (3) when Det(J)> and Tr(J) = 0, this point is the saddle point.