Asymmetric Evolutionary Game Analysis of Building Information Modeling (BIM) Technology Diffusion

Table 3

Stability analysis results.

Equilibrium point	−B + G−D−C2 + B′＞0
	K–C1 + L＞0			K–−C1 + L＜0
	det(J)	tr(J)	Stability	det(J)	tr(J)	Stability
(0, 0)	−−	Uncertain	Saddle point	+	+	Unstable
(0, 1)	−−	Uncertain	Saddle point	−−	Uncertain	Saddle point
(1, 0)	+	+	Unstable	−−	Uncertain	Saddle point
(1, 1)	+	−−	ESS	+	−−	ESS
(α^∗, β^∗)				−−	0	Saddle point
−B + G−D−C2 + B′＜0
γC1 + K–−B + G−C2 + B′＞0						γC1 + K–−B + G−C2 + B′＜0
K–−C1 + L＞0			K–−C1 + L＜0			K–−C1 + L＞0			K–−C1 + L＜0
det(J)	tr(J)	Stability	det(J)	tr(J)	Stability	det(J)	tr(J)	Stability	det(J)	tr(J)	Stability
+	−−	ESS	−−	Uncertain	Saddle point	+	−−	ESS	−	Uncertain	Saddle point
+	+	Unstable	+	+	Unstable	+	+	Unstable	+	+	Unstable
+	+	Unstable	−−	Uncertain	Saddle point	−−	Uncertain	Saddle point	+	−−	ESS
+	−	ESS	+	−−	ESS	−−	Uncertain	Saddle point	−−	Uncertain	Saddle point