创新网络合作密度影响因素及其仿真分析

doi:10.12005/orms.2019.0035

摘要/Abstract

摘要： 合作创新模式使得创新主体之间构成具有拓扑结构特性的创新网络,创新主体合作行为会影响创新网络的可持续发展。为探究不同影响因素作用下创新网络合作密度的变化,基于演化博弈理论和BA无标度网络理论,运用仿真方法,分析了网络规模、聚类系数、偏好性仿真、利益分配对创新网络合作密度的影响。结果表明:小规模的创新网络具有较低的聚类系数有利于网络合作密度的提升,大规模的创新网络具有较高的聚类系数有利于网络合作密度的提升;无论是大规模还是小规模创新网络,适度的偏好性模仿均能促进网络合作密度的提升;对于利益分配而言,无论是大规模还是小规模的创新网络,按劳分配是提升网络合作密度的最佳利益分配形式。

关键词: 创新网络, 合作密度, 演化博弈, 仿真

Abstract: Multi-agent cooperative innovation model makes the innovation entity constitute an innovation network with certain topological structure, and the cooperation behavior of the main body of innovation directly influences the sustainable development of the innovation network. In order to explore the influence of different factors on the innovation network cooperation density, this paper analyzes the influencing factors of innovation network cooperation density, and constructs the income matrix between different types of innovation agents, based on evolutionary game theory and BA scale-free network, the influence of network size, clustering coefficient, biased imitation, and benefit distribution on cooperation density of innovation network are simulated and analyzed by using Matlab software. The results show that the small size of the cluster innovation network has a low coefficient of cooperation which is conducive to enhancing the network density, and clustering coefficient of mass innovation network has high density network cooperation which is conducive to ascension; whether it is a large-scale or small-scale innovation network, moderate biased imitation can promote the network cooperation; for the distribution of benefits, whether it is large-scale or small-scale innovation network, distribution on the basis of work is the best way to enhance the network cooperation density.

Key words: innovation network, cooperation density, evolutionary game, simulation

中图分类号:

F273.7

曹兴, 欧阳莹, 杨春白雪. 创新网络合作密度影响因素及其仿真分析[J]. 运筹与管理, 2019, 28(2): 74-80.

CAO Xing, OU Yang-ying, YANG CHUN bai-xue. Influence Factors and Simulation Analysis of Innovation Network Cooperation Density[J]. Operations Research and Management Science, 2019, 28(2): 74-80.

参考文献

[1] Freeman C. Networks of innovators: a synthesis of research issues[J]. Social Science Electronic Publishing, 1991, 20(5): 499-514.
[2] Zhu B, Wang W. The evolution of the strategies of innovation cooperation in scale-free network[J]. Discrete Dynamics in Nature and Society, 2014(6): 1-10.
[3] 侯云章,盛昭瀚,王晓灵,等.复杂网络中基于记忆长度的合作行为[J].系统工程理论与实践,2008,28(2):119-124.
[4] Chen J, Le A, Wang Q, Xi L. A small-world and scale-free network generated by sierpinski pentagon[J]. Physica A Statistical Mechanics & Its Applications, 2016, 449(1): 126-135.
[5] Buchmann T, Pyka A. The evolution of innovation networks: the case of a publicly funded german automotive network[J]. Economics of Innovation & New Technology, 2015, 24(1): 114-139.
[6] Woo T. Dynamical assessment for evolutions of atomic-multinology(AM)in technology innovation using social network theory[J]. Annals of Nuclear Energy, 2012, 41(3): 12-16.
[7] Li Y, Wu C, Luo P, Zhang W. Exploring the characteristics of innovation adoption in social networks: structure, homophily, and strategy[J]. Entropy, 2013, 15(7): 2662-2678.
[8] Lee S, Holme P, Wu Z X. Emergent hierarchical structures in multiadaptive games[J]. Physical Review Letters, 2010, 106(2): 75-89.
[9] Tanimoto J. Coevolutionary, coexisting learning and teaching agents model for prisoner's dilemma games enhancing cooperation with assortative heterogeneous networks[J]. Physica A Statistical Mechanics & Its Applications, 2013, 392(13): 2955-2964.
[10] Apicella C L, Marlowe F W, Fowler J H, Christakis N A. Social networks and cooperation in hunter-gatherers[J]. Nature, 2012, 481(7382): 497-501.
[11] Su Q, Li A, Wang L. Spatial structure favors cooperative behavior in the snowdrift game with multiple interactive dynamics[J]. Physica A Statistical Mechanics & Its Applications, 2017(468): 299-306.
[12] Zhao L, Zhang Q, Wang L. Benefit distribution mechanism in the team members' scientific research collaboration network[M]. Springer-Verlag New York Inc, 2014.
[13] Qiao B, Ji L, Wang X X. An empirical study on the characteristics of complex network of firms' innovation network-taking taiyuan stainless steel firms as an example[J]. Applied Mechanics & Materials, 2014(644): 6261-6264.
[14] 许治,陈丽玉,王思卉.高校科研团队合作程度影响因素研究[J].科研管理,2015,36(5):149-161.
[15] 陈光华,梁嘉明,杨国梁.产学研合作研发是规模经济的吗?——以广东省省部产学研合作专项为例的分析[J].科学学研究,2014,32(6):882-889.
[16] 王哲,姚宏,杜军,彭兴钊,丁超.拓扑可调无标度网络上的雪堆博弈研究[J].系统工程理论与实践,2016,36(1):121-126.
[17] 郑向杰.合作网络“小世界性”对企业创新能力的影响——基于中国汽车行业企业间联盟网络的实证分析[J].科技进步与对策,2014(13):40-44.
[18] Wang B, Pei Z, Wang L. Evolutionary dynamics of cooperation on interdependent networks with prisoner's dilemma and snowdrift game[J]. Epl, 2014(107): 58006.
[19] Fu S, Wang Y. Biased imitation in coupled evolutionary games[C]//Control Conference. IEEE, 2015:9134-9139.
[20] Harrison F, Mouden C E. Exploring the effects of working for endowments on behaviour in standard economic games[J]. Plos One, 2011, 6(11): 23-41.
[21] Manuel C, González-Arangüena E, Brink R V D. Players indifferent to cooperate and characterizations of the shapley value[J]. Mathematical Methods of Operations Research, 2013, 77(1): 1-14.
[22] Glückler J. Economic geography and the evolution of networks[J]. Journal of Economic Geography, 2007, 7(7): 619-634.
[23] Lazzeretti L, Capone F. How proximity matters in innovation networks dynamics along the cluster evolution. a study of the high technology applied to cultural goods[J]. Journal of Business Research, 2016, 69(12): 5855-5865.
[24] Traulsen A, Nowak M. A.:Evolution of cooperation by multilevel selection[J]. Proceedings of the National Academy of Sciences, 2006, 130(29): 10952-10955.
[25] Choi J, Sang-Hyun A, Cha M S. The effects of network characteristics on performance of innovation clusters[J]. Expert Systems with Applications, 2013, 40(11): 4511-4518.
[26] Lu X, Zhou W, Zhao Y, Zhu Y, Fei S. Inter-firm innovation networks: the Impact of scale-free property on firm innovation[J]. Lecture Notes in Electrical Engineering, 2013, 236(265): 1033-1040.
[27] Bertotti M L, Brunner J, Modanese G. Innovation diffusion equations on correlated scale-free networks[J]. Physics Letters A, 2016,380(33): 2475-2479.
[28] Holme P, Kim B J. Growing scale-free networks with tunable clustering[J]. Physical Review E, 2002, 65(2): 26-107.
[29] Wang D, Jing Y W, Hao B B. Extended Holme-Kim network model and synchronizability[J]. Acta Physica Sinica, 2012, 61(22): 154-161.
[30] 陈伟,张永超,田世海.区域装备制造业产学研合作创新网络的实证研究——基于网络结构和网络聚类的视角[J].中国软科学,2012(2):96-107.
[31] Santos M D, Dorogovtsev S N, Mendes J F. Biased imitation in coupled evolutionary games in interdependent networks[J]. Scientific Reports, 2014, 4(4): 1-6.
[32] 曹霞,张路蓬.基于利益分配的创新网络合作密度演化研究[J].系统工程学报,2016,31(1):1-12.