Competition and coordination in a fashion supply chain with wholesale pricing schemes

Document Type

Book chapter

Source Publication

Fashion supply chain management : industry and business analysis

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Last Page



Business Science Reference


This chapter considers a two-echelon supply chain where a supplier determines his production quantity and a retailer chooses her order size and retail price for each period in an infinite horizon. Under a price-discount sharing (PDS) scheme, the supplier’s wholesale price linearly depends on the retail price. We develop a stochastic game in which these two supply chain members maximize their discounted profits. We show that a unique Nash equilibrium solution exists for each period, and over the infinite horizon the supplier chooses a stationary base stock policy whereas the retailer’s equilibrium solution could be non-stationary. Next, we investigate the problem of whether or not a wholesale pricing scheme can coordinate the supplier and the retailer, and derive the conditions for supply chain coordination. Moreover, we use Nash arbitration scheme to allocate the system-wide profit between the supplier and the retailer.



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Copyright © 2012. Access to external full text or publisher's version may require subscription.

Additional Information

ISBN of the source publication: 9781609607562

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Recommended Citation

Huang, J., Leng, M., & Liang, L. (2012). Competition and coordination in a fashion supply chain with wholesale pricing schemes. In T. M. Choi (Ed.), Fashion supply chain management: Industry and business analysis (pp. 42-73). Hershey, PA: Business Science Reference. doi: 10.4018/978-1-60960-756-2.ch003