考虑政府补贴的新产品与再制造产品定价模型
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1.北京理工大学;2.西安邮电大学

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F274

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Pricing models of new products and remanufactured products under government subsidies
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1.Beijing Institute of Technology;2.北京邮电大学

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    摘要:

    在有限财政预算下,政府对再制造产品进行补贴,促进再制造产品的生产和销售。首先建立了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,揭示了生产补贴对批发价、销售价以及销售量的影响,并通过与无补贴销售量的比较,进一步给出了政府补贴提升再制造产品销量的根本原因。然后给出了对再制造产品销售商进行销售补贴下的三层模型,证明了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。接着讨论了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,比较了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。

    Abstract:

    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 involving four participants is constructed. The government provides production subsidies for the manufacturer first, and then the manufacturer declares its wholesale prices by a Stackelberg game with the new-product retailer and the remanufactured-product retailer, finally 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.

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  • 收稿日期:2020-08-07
  • 最后修改日期:2020-12-15
  • 录用日期:2020-10-12
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