基于随机微分博弈的协同创新知识共享策略

朱怀念,刘贻新,张成科,张光宇

科研管理 ›› 2017, Vol. 38 ›› Issue (7) : 17-25.

科研管理 ›› 2017, Vol. 38 ›› Issue (7) : 17-25.
论文

基于随机微分博弈的协同创新知识共享策略

  • 朱怀念1,刘贻新2,张成科1,张光宇2
作者信息 +

Strategies of knowledge sharing in synergetic innovation based on stochastic differential game

  • Zhu Huainian1, Liu Yixin2, Zhang Chengke1, Zhang Guangyu2
Author information +
文章历史 +

摘要

利用随机微分博弈理论研究了产学研协同创新主体间的知识共享问题,建立了一个随机微分博弈模型。运用哈密尔顿-雅可比-贝尔曼方程分别求得了Stackelberg主从博弈和协同合作博弈下均衡的知识共享策略、知识创新量的期望值和方差以及Stackelberg主从博弈下均衡的创新补贴比例,并对此两种博弈结果进行了比较。研究发现:(1)无论是Stackelberg主从博弈还是协同合作博弈,当知识共享的成本越高,共享的知识量越少;知识创新能力越大,知识共享的边际收益越高,共享的知识量越多;知识折旧率越高,共享的知识量越少。(2)协同合作博弈下创新主体共享的知识量分别高于Stackelberg主从博弈下的知识共享量,且协同合作博弈下产学研知识协同创新系统的总收益大于Stackelberg主从博弈下系统的总收益。(3)协同合作博弈下知识创新量的期望值和方差大于Stackelberg主从博弈下知识创新量的期望值和方差。

Abstract

In this paper, knowledge sharing between enterprise and university in industry-university-research synergetic innovation is studied by constructing a stochastic differential game model involving stochastic disturbance. Dynamic programming method is employed to derive the equilibrium knowledge-sharing strategies and subsidy ratio both in Stackelberg game and cooperative game. By comparing the obtained results, we find that: (1) both in Stackelberg game and cooperative game, the more knowledge sharing cost and knowledge decay rate, the less knowledge is shared. The higher knowledge innovation ability and marginal profit, the more knowledge is shared; and (2) the optimal knowledge sharing, the total profit, the expected innovative knowledge and its variance of the cooperative game are higher than that of the Stackelberg game respectively.

关键词

协同创新 / 知识共享 / 随机微分博弈 / 哈密尔顿-雅可比-贝尔曼方程

Key words

synergetic innovation / knowledge sharing / stochastic differential game / Hamilton-Jacobi-Bellman equation

引用本文

导出引用
朱怀念,刘贻新,张成科,张光宇. 基于随机微分博弈的协同创新知识共享策略[J]. 科研管理. 2017, 38(7): 17-25
Zhu Huainian1, Liu Yixin2, Zhang Chengke1, Zhang Guangyu2. Strategies of knowledge sharing in synergetic innovation based on stochastic differential game[J]. Science Research Management. 2017, 38(7): 17-25

基金

国家自然基金面上项目(不完全信息模式广义马尔科夫跳跃系统的微分博弈理论及应用,71171061,2016-2019);国家自然基金青年基金项目(产学研协同创新中知识共享和整合的影响因素及其机制:基于权变的视角,71403060,2015-2017);广东省自然科学基金博士启动项目(广义时滞系统的微分博弈理论及在金融保险中的应用研究,2015A030310218,2015-2018;奇异摄动系统非合作微分博弈理论及在投入产出问题中的应用,2014A030310218,2015-2017);教育部人文社科项目(基于SNM理论的战略性新兴产业培育模式及其绩效研究,13YJC630101,2013-2016);广州市人文社会科学重点研究基地广州技术创新与经济转型研究中心2016年度招标课题(广州创新型产业集群的知识共享机制研究,2016GZJD03,2016-2017)。


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