运筹与管理 ›› 2023, Vol. 32 ›› Issue (10): 43-49.DOI: 10.12005/orms.2023.0317

• 理论分析与方法探讨 • 上一篇    下一篇

基于微分博弈的互联网企业与新能源汽车企业技术协同创新策略研究

张涛1, 唐僖2, 吴君民1, 毛翔宇3, 魏晓卓1   

  1. 1.江苏科技大学 经济管理学院,江苏 镇江 212100;
    2.南京理工大学 经济管理学院,江苏 南京 210094;
    3.南京航空航天大学 经济管理学院,江苏 南京 211106
  • 收稿日期:2021-08-25 出版日期:2023-10-25 发布日期:2024-01-31
  • 通讯作者: 唐僖(1994-),女,江苏镇江人,博士研究生,研究方向:供应链。
  • 作者简介:张涛(1978-),女,江苏江阴人,副教授,研究方向:财务管理;吴君民(1962-),男,江苏靖江人,教授,博士生导师,研究方向:财务管理;毛翔宇(1995-),男,江苏南京人,博士研究生,研究方向:博弈理论及应用;魏晓卓(1979-),男,江苏南通人,博士,研究方向:农业经济。
  • 基金资助:
    江苏省社会科学基金项目(21GLB008);江苏高校哲学社会科学研究基金项目(2021SJZDA169,2020SJA2099,2019SJA1929);国家自然科学基金资助项目(71874073)

Research on Technology Collaborative Innovation Strategy between Internet Enterprises and New Energy Automobile Enterprises Based on Differential Game

ZHANG Tao1, TANG Xi2, WU Junmin1, MAO Xiangyu3, WEI Xiaozhuo1   

  1. 1. School of Economics and Management, Jiangsu University of Science and Technology, Zhenjiang 212100, China;
    2. School of Economics and Management, Nanjing University of Science and Technology, Nanjing 210094, China;
    3. School of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China
  • Received:2021-08-25 Online:2023-10-25 Published:2024-01-31

摘要: 针对互联网企业与新能源汽车企业技术协同创新的问题,本文以互联网企业和新能源汽车企业为研究对象,通过构建微分博弈模型,运用HJB方程分析了三种技术协同创新博弈情形下互联网企业和新能源汽车企业各自的最优研发努力程度、互联网企业对新能源汽车企业的最优技术协同创新补贴以及二者合作的最优合作模式。通过对三种博弈结论的比较分析发现:(1)Stackelberg主从模式下互联网企业和新能源汽车企业各自的研发努力程度、各自的研发收益以及研发总收益均优于Nash非合作模式,达到了Pareto均衡;(2)互联网企业与新能源汽车企业同时为新能源汽车的技术突破付出努力能够最大限度地提升双方研发合作的整体收益;(3)互联网企业对新能源汽车企业的补贴与收益分配系数负向相关;(4)新能源汽车企业的研发投入对整体收益提升的有效性大于互联网企业;(5)协同合作模式下互联网企业和新能源汽车企业各自的研发努力程度、各自的研发收益以及研发总收益是三种模式中最优的,达到了完美的Pareto均衡。最后,本文通过算例分析验证了理论推导结果的正确性并基于研究结论提出了相应的建议对策。

关键词: 新能源汽车, 技术协同创新, 微分博弈, HJB方程

Abstract: Green and sustainable development has become the theme of global economic development, and the State Council promulgates products “Made in China 2025”, which clearly positions “green development” and “innovation-driven” as the basic policy for the future development of China's manufacturing industry.As an important field of China's green industry development, the new energy vehicles (NEVs) industry is also developing rapidly in line with the trend of the times.In a new scientific and technological change in the background, the integration of Internet technology with NEVs technology, and automobile manufacturing with automobile “intelligence” to promote NEVs industry to complete the transformation and upgrading has become an inevitable trend. Due to the difficulty of automotive smart chip technology research and development and rapid replacement, the existing cooperation model cannot promote the NEVs enterprises and Internet companies to carry out optimal cooperation. Therefore, it is urgent and important to study the optimal cooperation mechanism of technological co-innovation between Internet enterprises and NEVs enterprises to enhance the international core competitiveness of China's NEVs and establish a latecomer's advantage. Although existing studies have carried out in-depth research on R&D and innovation in the NEVs industry, the new issue of collaborative R&D and innovation between Internet enterprises and NEVs enterprises has rarely been addressed, and the coordination of interests among the main subjects of collaborative innovation has been neglected.
Therefore, aiming at the problem of technology collaborative innovation between Internet enterprises and NEVs enterprises, this paper takes Internet enterprises and NEVs enterprises as the research object, and constructs a differential game model. The HJB equation is used to analyze the optimal R&D efforts of Internet enterprises and NEVs enterprises, the optimal technology collaborative innovation subsidies of Internet enterprises to NEVs enterprises and the optimal cooperation mode of the two enterprises under three cooperative technology innovation game situations. Through the comparative analysis of the three game conclusions, it is found that: (1)The subsidies of Internet enterprises to NEVs enterprises are negatively correlated with the income distribution coefficient. (2)The research and development investment of NEVs enterprises is more effective than that of Internet enterprises in improving the overall revenue. (3)Efforts made by Internet enterprises and NEVs enterprises for technological breakthroughs of NEVs can maximize the overall benefits of the R&D cooperation between the two sides. (4)In Stackelberg master-slave mode, Internet companies and NEVs enterprises' respective R&D efforts, R&D revenues and total R&D revenues are superior to those in Nash non-cooperation mode, reaching Pareto equilibrium. (5)In the collaborative cooperation mode, Internet enterprises and NEVs enterprises are the best among the three modes in terms of their respective R&D efforts, R&D earnings and total R&D earnings, and a perfect Pareto equilibrium is achieved.
Finally, this paper verifies the correctness of the theoretical results through the analysis of numerical examples and puts forward corresponding suggestions based on the conclusions, with a view to providing references for Chinese government to promote the synergistic technological cooperation between NEVs enterprises and Internet enterprises. Specifically, firstly, different modes of co-innovation cooperation should be vigorously carried out; Secondly, Internet enterprises should shoulder more responsibility as well as share the cost of co-innovation R&D; Then, basic R&D investment in NEVs should be increased; And lastly, deeper technological co-innovation cooperation should be carried out.

Key words: NEVs, technological collaborative innovation, differential game, HJB equation

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