考虑政府补贴的新产品与再制造产品定价模型  

Pricing models of new products and remanufactured products under government subsidies

作　　者：楼振凯 楼旭明 侯福均[1] LOU Zhen-kai;LOU Xu-ming;HOU Fu-jun(School of Management and Economics,Beijing Institute of Technology,Beijing 100081,China;School of Economics and Management,Xi’an University of Posts and Telecommunications,Xi’an710121,China)

机构地区：[1]北京理工大学管理与经济学院,北京100081 [2]西安邮电大学经济与管理学院,西安710121

出　　处：《控制与决策》2022年第1期196-204,共9页Control and Decision

基　　金：国家自然科学基金项目(71571019)。

摘　　要：在有限财政预算下,政府对再制造产品进行补贴,以促进再制造产品的生产和销售.基于此,首先建立政府对制造商进行生产补贴的三层决策模型,该模型中制造商与新产品销售商和再制造产品销售商进行Stackelberg博弈,同时两个销售商之间通过Bertrand博弈确定各自的销售价,通过对解的分析,揭示生产补贴对批发价、销售价以及销售量的影响,并通过与无补贴销售量的比较,进一步给出政府补贴提升再制造产品销量的根本原因;然后给出对再制造产品销售商进行销售补贴下的三层模型,证明销售补贴与生产补贴在影响销售价格、销售量方面的等价性;接着讨论集中决策供应链中新产品与再制造产品销售的二层决策模型,比较集中决策供应链与分散决策供应链再制造产品的销售量高低并分析其原因,指出政府倾向于优先补贴的供应链类型;最后给出一个算例,分析不同类型供应链中再制造产品销售量对参数的敏感性.Under a finite financial budget, the government offers subsidies for remanufactured products in order to encourage production and sales. Firstly, a three-layer decision model that the government provides production subsidies for the manufacturer is constiucted, in which the manufacturer declares its wholesale prices by a Stackelberg game with the new-product retailer and the remanufactured-product retailer, and the two retailers determine their sales prices by a Bertrand game. The impacts of production subsidies on wholesale prices, sales prices and sales quantities are demonstrated. Further, the root cause of the increased sales quantity of the remanufactured products is shown. Secondly,the model in which the government offers sales subsidies for the remanufactured-product retailer is considered. It is shown that production subsidies and sales subsidies are equaivalent for affecting sales prices and sales quantities. Thirdly, a centralized decision-making model is proposed. The sales quantities between the decentralized model and the centralized model are compared, and the reason of the difference is analyzed, which provides a basis for the priority of the subsidy.Finally, a numerical illustration is presented to make some supplements.

关 键 词：政府补贴 STACKELBERG博弈 BERTRAND博弈 多层定价模型 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]