基于差价补偿策略的斯塔克尔伯格博弈协调优化

Stackelberg Game Coordination Optimization Based on Price Difference Compensation Strategy

以智能产品为研究对象,建立了差价补偿策略下制造商与销售商的博弈模型,分别通过纳什均衡博弈和斯塔克尔伯格博弈协调优化对制造商和销售商的决策行为进行探讨,得到了Nash均衡下制造商与销售商之间交易策略,讨论了斯塔克尔伯格博弈下制造商的最优订购、最优补偿系数和销售商的订购量之间关系,提出了求解在给定补偿系数下斯塔克尔伯格博弈协调优化的近似最优批发价与最优订购量的算法。通过数值实验表明,制造商占优势地位时,差价补偿策略能实现整体供应链的协调优化,提高销售商的订购量以及制造商和销售商的利润,说明差价补偿策略可以有效地改善零供关系。

Taking intelligent products as the research object,the game model between manufacturers and sellers is established.Through Nash equilibrium game and Stackelberg game,the decision-making behaviors of manufacturers and sellers are discussed.It is proved that there is transaction between manufacturers and sellers under Nash equilibrium.The relationship among manufacturer's optimal order,optimal compensation coefficient and retailer’s order quantity in Steinberg game is derived.An algorithm is proposed to solve the approximate optimal wholesale price and order quantity of Stackelberg game with a given compensation coefficient.Through numerical analysis,it is shown that when the manufacturer is in the dominant position,the price difference compensation strategy can realize the coordination of the whole supply chain,improve the order quantity of the seller,and increase the profits of the manufacturer and the seller.It is also shown that the price difference compensation strategy can effectively improve relationship between supply and retailer.