Tripartite Evolutionary Game Analysis of Trust Relationship between Enterprises in a Cloud Manufacturing Environment: A Service Composition Perspective

Table 3

System Equilibrium points and Eigenvalues.

Equilibrium points	Eigenvalues; x: service demander, y: service provider, z: platform supervisor
	λ1	λ2	λ3
E1(0,0,0)	K + G2 − qC3 − R2	C4	−C
E2(0,0,1)	K + G2 − qC3 − R2	C4	C
E3(0,1,0)	(1 − a)R3 + G2 − R2	−C4	−C
E4(0,1,1)	(1 − a)R3 + G2 − R2	−C4	C
E5(1,0,0)	−[K + G2 − qC3 − R2]	G1 + aαR3 + K + C4–C1 − qαr4	(1−b)R1−C
E6(1,0,1)	−[K + G2 − qC3 − R2]	G1 + aαR3+K + W + C4 − C1 − qαR4	−[(1−b)R1−C]
E7(1,1,0)	−[(1 − a)R3 + G2 − R2]	−[G1 + aαR3 + K + C4 – C1 − qαR4]	(1−b)R1−C
E8(1,1,1)	−[(1 − a)R3 + G2 − R2]	−[G1 + aαR3 + K + W + C4 − C1 − qαR4]	−[(1−b)R1−C]