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

Table 4

The optimal compensation mechanism with different number of FLSPs.

Condition		The interval of 𝑁	The optimal compensation mechanism
𝛼0≤𝛼2		0,𝑁4	Nonlinear compensation mechanism
𝛼0>𝛼2	𝑏2𝛼0−𝛼2≤𝛼0−𝛼1𝑏1 and 𝛼0>𝛼1	𝑏2𝛼0−𝛼2,𝛼0−𝛼1𝑏1	Fixed compensation mechanism
	𝑁4≥𝑏2𝛼0−𝛼2	𝑁2,𝑏2𝛼0−𝛼2	Nonlinear compensation mechanism
	𝑁4<𝑏2𝛼0−𝛼2	𝑁2,𝑁4	Nonlinear compensation mechanism
𝑁4<𝛼0−𝛼1𝑏1		𝛼0−𝛼1𝑏1,𝑁1	Linear compensation mechanism
𝑁4≥𝛼0−𝛼1𝑏1		𝑁4,𝑁1	Linear compensation mechanism