The Influence Analysis of Number of Functional Logistics Service Providers on Quality Supervision Game in LSSC with Compensation Strategy

Table 3

Expected revenue matrix of LSI and FLSP 𝑖 with FLSPs’ competition under a compensation mechanism.

LSI	FLSP
	Complies with the contract	Breaks the contract
Supervises	(1−𝑟)𝜔+𝑟𝜋𝑝1−𝑐𝑝1+𝛼,; (1−𝑟)𝜋𝑝1−𝜔−𝑓𝑞−𝛼	(1−𝑟)𝜔+𝑟𝜋𝑝2−𝑐𝑝2+𝜑−𝜌𝜃−𝛾𝑁𝑏𝑅+1−𝜌𝛼,; (1−𝑟)𝜋𝑝2−𝜔−𝑓𝑞+𝜌𝜃−1−𝜌𝛼
Does not supervise	(1−𝑟)𝜔+𝑟𝜋𝑝1−𝑐𝑝1+𝛼,; (1−𝑟)𝜋𝑝1−𝜔−𝛼	(1−𝑟)𝜔+𝑟𝜋𝑝2−𝑐𝑝2+𝜑−𝛾𝑁𝑏𝑅+𝛼,; (1−𝑟)𝜋𝑝2−𝜔−𝛼