This paper investigates a pricing game and service cooperation for complementary products in a dual-channel supply chain composed of two manufacturers and one retailer. The products of the two manufacturers are complementary products. One manufacturer sells products simultaneously through its own online channel and the traditional retailer, and the manufacturer delivers the product’s service to the retailer in its network direct sales channel by cooperating with the retailer in the form of service cost sharing. Considering the different market power structures of channel members, we establish three different pricing game models. By using the backward induction method and game theory, we obtain the corresponding analytical equilibrium solutions. Then, the service cooperation strategy of using the channel service sensitivity coefficients to construct the weight to share the service cost is proposed. Finally, numerical examples of optimal pricing strategies and profit conditions in different game situations are given, and sensitivity analysis of some key parameters is selectively performed, in which some valuable management insights are obtained.

中文翻译：

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双渠道供应链中的互补产品定价和服务合作策略

本文研究了由两个制造商和一个零售商组成的双渠道供应链中互补产品的定价博弈和服务合作。两家制造商的产品是互补产品。一家制造商通过自己的在线渠道和传统零售商同时销售产品，并且制造商通过与零售商合作以服务成本分摊的形式，通过其网络直销渠道向零售商提供产品服务。考虑到渠道成员的市场力量结构不同，我们建立了三种不同的定价博弈模型。通过使用反向归纳法和博弈论，我们获得了相应的解析平衡解。然后，提出了利用信道服务敏感度系数构造权重分担服务成本的服务合作策略。最后，给出了在不同博弈情况下最优定价策略和利润状况的数值例子，并选择性地对一些关键参数进行了敏感性分析，从而获得了一些有价值的管理见解。