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中国管理科学 ›› 2024, Vol. 32 ›› Issue (9): 160-170.doi: 10.16381/j.cnki.issn1003-207x.2021.1022cstr: 32146.14.j.cnki.issn1003-207x.2021.1022

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供应商竞争下考虑道德风险的平台供应链最优动态激励契约

张艳芬,徐琪(),孙中苗   

  1. 东华大学旭日工商管理学院,上海 200051
  • 收稿日期:2021-05-25 修回日期:2022-01-24 出版日期:2024-09-25 发布日期:2024-10-12
  • 通讯作者: 徐琪 E-mail:xuqi@dhu.edu.cn
  • 基金资助:
    国家社会科学基金项目(21BGL014);中央高校基本科研业务费专项资金项目(CUSF-DH-D-2022057)

Dynamics of Contract Design for Platform Supply Chain with Competing Suppliers under Moral Hazard

Yanfen Zhang,Qi Xu(),Zhongmiao Sun   

  1. Glorious Sun School of Business and Management,Donghua University,Shanghai 200051,China
  • Received:2021-05-25 Revised:2022-01-24 Online:2024-09-25 Published:2024-10-12
  • Contact: Qi Xu E-mail:xuqi@dhu.edu.cn

摘要:

不确定市场环境下,平台供应链中供应商的产品或服务质量信息不对称往往导致道德风险问题,而激励契约可减少此风险。本文引入供应商延续价值作为状态变量以衡量供应商的整体绩效,设计平台对供应商的收益分配机制以激励供应商付出最优的产品质量投入;考虑供应商之间的竞争程度,利用连续时间的委托代理理论和随机过程构建最优动态激励契约模型。通过将动态激励契约问题转化为随机最优控制问题,得到了满足平台效用值函数的哈密顿-雅可比-贝尔曼方程(HJB),进一步证明了其凹解的存在唯一性。最后,通过数值求解验证了不同市场波动率下供应商竞争程度对平台供应链决策的影响。研究发现,平台通过供应商之间的竞争可以减少其支付给供应商的风险溢价,进而提高平台的利润。

关键词: 平台供应链, 道德风险, 供应商竞争, 动态激励契约, 随机最优控制

Abstract:

In recent years, with the rapid development of the platform economy in the world, the platform supply chain has begun to receive sufficient research attention. In the uncertain market environment, the information asymmetry of the supplier's product/service/content quality in the platform supply chain often leads to moral hazard problems, and the incentive contract can reduce this risk. Motivated by this problem, suppliers’ continuation value is introduced as a state variable to measure the overall performance of the supplier, the platform’s profit distribution mechanism is designed to incentive two competing suppliers’ effort, and the optimal dynamic incentive contract model is constructed based on the continuous-time principal-agent theory and stochastic process. By transforming the dynamic incentive contract problem into a stochastic optimal control problem, the Hamilton-Jacobi-Bellman equation (HJB) satisfying the platform utility value function is obtained, and further the existence and uniqueness of its concave solution are proved. Finally, numerical solutions are provided to explain the effects of the competition on the platform supply chain decision-making under different market volatility. The results suggest that: (1) In a highly uncertain market environment, the platform can give suppliers appropriate subsidies to incentivize suppliers to improve their efforts. (2) When the cost coefficient of effort is very large, the platform shares a part of the cost of suppliers to incentivize suppliers to improve product quality and achieve a win-win situation. (3)The platform can reduce the risk premium it pays to the suppliers through competition between suppliers, thereby increasing the platform’s profit.

Key words: platform supply chain, moral hazard, competing suppliers, dynamic incentive contract, stochastic optimal control

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