Tripartite Evolutionary Game Analysis of Shared Manufacturing by Manufacturing Companies under Government Regulation Mechanism

Table 3

Analysis of local stability of equilibrium point of case (1).

Equilibrium point	Eigenvalues						Stability
	λ1	Symbol	λ2	Symbol	λ3	Symbol
E1(0, 0, 0)	R1 − C1 + L1	+	R2 − C2 + L2	+	−CG	−	Unstable
E2(0, 0, 1)	R1 − C1 + L1 + θ1CG	+, −	R2 − C2 + L2 + θ2CG	+, −	CG	+	Unstable
E3(0, 1, 0)	α1R–C1 + 2L1 + S1	+	−[R2 − C2 + L2]	−	(1 − λ)RG − CG	+, −	Unstable
E4(0, 1, 1)	α1R + β1CG − C1 + 2L1 + S1	+	−[R2 − C2 + L2 + θ2CG]	−, +	−[(1 − λ)RG − CG]	−, +	Unstable
E5(1, 0, 0)	−[R1 − C1 + L1]	−	α2R–C2 + 2L2 + S2	+	(1 − λ)RG − CG	−, +	Unstable
E6(1, 0, 1)	−[R1 − C1 + L1 + θ1CG]	−, +	α2R + β2CG − C2 + 2L2 + S2	+	−[(1 − λ)RG − CG]	+, −	Unstable
E7(1, 1, 0)	−[α1R–C1 + 2L1 + S1]	−	−[α2R–C2 + 2L2 + S2]	−	(1 − λ)RG − CG  +  M	+	Unstable
E8(1, 1, 1)	–[α1R + β1CG − C1 + 2L1 + S1]	−	−[α2R + β2CG − C2 + 2L2 + S2]	−	−[(1 − λ)RG − CG  +  M]	−	ESS