Optimal Prices and Inventories Decisions on Returns Policy with Practical Examples Thorough a Stackelberg Game
This study explores a Stackelberg game that consists of a manufacturer who is a leader manufacturing newsvendor-type products, and two retailers who are two followers selling the products in a stochastic demand market that is divided into two various prices sub-markets allowing demand leakage from a high-priced market to a low-priced market. The objective of the game is that the manufacturer offers a returns policy contract in an effort that not only to maximize its expected profit by determining wholesale price and buy-back price, but also to improve the two retailers’ expected profits by determining their prices and order sizes. We develop a simple solution procedure to the case of uniformly distributed demand, and thereby conduct a string of examples incorporating with the factors of demand leakage rate, consumers’ price-sensitivity and demand variability. Many significant contributions of this study include: the chain should give up some sales opportunity in high price-sensitive markets and then offset back from low price-sensitive ones; the two retailers jointly bear the entire risk of demand uncertainty; and the returns policy contract indeed outperforms a price-only contract although it is not the Pareto improvement to low-priced market segment.
Volume (Year): 3 (2013)
Issue (Month): 2 (April)
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- Zhang, Michael & Bell, Peter C. & Cai, Gangshu (George) & Chen, Xiangfeng, 2010. "Optimal fences and joint price and inventory decisions in distinct markets with demand leakage," European Journal of Operational Research, Elsevier, vol. 204(3), pages 589-596, August.
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