Supply Chain Contracts in Fashion Department Stores: Coordination and Risk Analysis

Table 1

The expression of the EP and SP for all parties under the PS and MD contracts.

	Contract	EP	SP
Retailer	PS	EPR_PS(𝑞)=𝜙[(𝑟−𝑐)𝑞−(𝑟−𝑣)𝑛(𝑞)].	SPR_PS(𝑞)=𝜙(𝑟−𝑣)𝜉(𝑞).
	MD	EPR_MD(𝑞)=(𝑟−𝑤)𝑞−(𝑟−𝑚−𝑣)𝑛(𝑞).	SPR_MD(𝑞)=(𝑟−𝑚−𝑣)𝜉(𝑞).
Supplier	PS	EPS_PS(𝑞)=(1−𝜙)[(𝑟−𝑐)𝑞−(𝑟−𝑣)𝑛(𝑞)].	SPS_PS(𝑞)=(1−𝜙)(𝑟−𝑣)𝜉(𝑞).
	MD	EPS_MD(𝑞)=(𝑤−𝑐)𝑞−𝑚𝑛(𝑞).	SPS_MD(𝑞)=𝑚𝜉(𝑞).

Notes. 𝑛(𝑞)=∫^𝑞₀𝐹(𝑥)𝑑𝑥 and 𝜉(𝑞)=2𝑞∫^𝑞₀𝐹(𝑥)𝑑𝑥−2∫^𝑞₀𝑥𝐹(𝑥)𝑑𝑥−(∫^𝑞₀𝐹(𝑥)𝑑𝑥)²(𝜉^′(𝑞)≥0 (please refer to Choi et al. for details) [6].