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Chinese Journal of Management Science ›› 2019, Vol. 27 ›› Issue (12): 197-207.doi: 10.16381/j.cnki.issn1003-207x.2019.12.019

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Differential Game Study on Industry-University Synergetic R&D Strategy of Industrial Generic Technology

MA Yong-hong1,2, LIU Hai-jiao1,3, LIU Qing3,4   

  1. 1. School of Economics and Management, Harbin Engineering University, Harbin 150001, China;
    2. Enterprise Innovation Research Institute, Harbin Engineering University, Harbin 150001, China;
    3. Program on Chinese Cities, University of North Carolina at Chapel Hill, Chapel Hill 27599, the United States;
    4. School of Architecture, Harbin Institute of Technology, Harbin 150001, China
  • Received:2017-11-26 Revised:2018-05-16 Online:2019-12-20 Published:2019-12-30

Abstract: This article examines the industrial generic technology collaborative research and development of a single research institution (university, research institute) and a single enterprise that are completely rational and have complete information for the conflict between the cooperation motives and behavioral goals caused by the heterogeneity of innovation resources in universities, research institutes, and enterprises during the collaborative R&D of industrial generic technology. Research institution is mainly responsible for basic research of industrial generic technology and company is mainly responsible for the application and development of industrial generic technology. In order to motivate the enthusiasm of research institutions for research and development, enterprises provide research institutions with a certain percentage of R&D investment subsidies. The Hamilton-Jacoby-Berman equation (HJB equation) is used to investigate the respective behaviors of universities, research institutes and enterprises in three cases:Nash non-cooperative R & D game, Stackelberg master-slave R & D game and cooperative R&D game through constructing the differential game model of industry-general-technology and industry-university-research cooperation research and development. The degree of optimal R&D effort, the optimal R&D income and the total optimal R&D income of both sides are analyzed, the effect mechanism of R&D subsidy on industry-university-research collaborative research and development of industrial generic technology is discussed, and the coordination mechanism among the subjects of industry-general-technology industry-university-research collaborative innovation under the dynamic framework is seeked. Through the comparison of the three game results, the following conclusions are drawn:R&D investment subsidy, as an incentive strategy, can promote the research and development efforts of research institutions, the research and development income of both sides and the total R&D income of both sides. Besides, In the case of cooperative game, the degree of respective R&D effort, respective R&D income and total R&D income of both parties are better than that of non-cooperative case, and there is a threshold value of income distribution coefficientα, which can realize the Pareto improvement of individual income of both sides. Specific content as follows:1) In the case of Nash non-cooperative game and Stackelberg master-slave game, the degree of R&D effort of enterprises does not change. In the case of Stackelberg master-slave game, the degree of R&D effort of research institutions is significantly higher than that of Nash non-cooperative game. The raised level is equal to the coefficient of R&D investment subsidy, which indicates that R&D investment subsidy, as an incentive mechanism, can improve the R&D effort of research institutions. In the case of cooperative game, the degree of R&D effort of enterprises and research institutions is better than that of non-cooperative game. 2) In the case of Stackelberg master-slave game, the R&D income of enterprises and research institutions are better than that of Nash non-cooperative game, that is, when enterprises provide R&D investment subsidies to research institutions, the R&D returns of enterprises and research institutions are improved.3) In the case of cooperative cooperation game, the total R&D revenue of enterprises and research institutions is superior to that of Stackelberg's master-slave game. Under the Stackelberg master-slave game, the total R&D revenue of enterprises and research institutions is better than that of Nash non-cooperative games. In order to coordinate the cooperative R&D behavior of industry generic technology between research institutions and enterprises, the range of income distribution coefficient α is discussed and analyzes the revenue coordination mechanism of industry-university-research collaboration R&D of industrial general technology is analyzed. Finally, the results of theoretical derivation are verified by randomly setting parameters within the assumed condition of the article.

Key words: industrial generic technology, industry-university-research, synergetic R&D, differential game, HJB equation

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