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A Knowledge Generation Model via the Hypernetwork

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  • Jian-Guo Liu
  • Guang-Yong Yang
  • Zhao-Long Hu

Abstract

The influence of the statistical properties of the network on the knowledge diffusion has been extensively studied. However, the structure evolution and the knowledge generation processes are always integrated simultaneously. By introducing the Cobb-Douglas production function and treating the knowledge growth as a cooperative production of knowledge, in this paper, we present two knowledge-generation dynamic evolving models based on different evolving mechanisms. The first model, named “HDPH model,” adopts the hyperedge growth and the hyperdegree preferential attachment mechanisms. The second model, named “KSPH model,” adopts the hyperedge growth and the knowledge stock preferential attachment mechanisms. We investigate the effect of the parameters on the total knowledge stock of the two models. The hyperdegree distribution of the HDPH model can be theoretically analyzed by the mean-field theory. The analytic result indicates that the hyperdegree distribution of the HDPH model obeys the power-law distribution and the exponent is . Furthermore, we present the distributions of the knowledge stock for different parameters . The findings indicate that our proposed models could be helpful for deeply understanding the scientific research cooperation.

Suggested Citation

  • Jian-Guo Liu & Guang-Yong Yang & Zhao-Long Hu, 2014. "A Knowledge Generation Model via the Hypernetwork," PLOS ONE, Public Library of Science, vol. 9(3), pages 1-8, March.
    • Handle: RePEc:plo:pone00:0089746
    DOI: 10.1371/journal.pone.0089746
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    1. Yang, Guang-Yong & Hu, Zhao-Long & Liu, Jian-Guo, 2015. "Knowledge diffusion in the collaboration hypernetwork," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 429-436.
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    3. Wang, Jiang-Pan & Guo, Qiang & Yang, Guang-Yong & Liu, Jian-Guo, 2015. "Improved knowledge diffusion model based on the collaboration hypernetwork," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 428(C), pages 250-256.
    4. Zhang, Haihong & Wu, Wenqing & Zhao, Liming, 2016. "A study of knowledge supernetworks and network robustness in different business incubators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 447(C), pages 545-560.
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    7. Evangelos Ioannidis & Nikos Varsakelis & Ioannis Antoniou, 2021. "Intelligent Agents in Co-Evolving Knowledge Networks," Mathematics, MDPI, vol. 9(1), pages 1-17, January.
    8. Ma, Xiujuan & Ma, Fuxiang & Yin, Jun & Zhao, Haixing, 2018. "Cascading failures of k uniform hyper-network based on the hyper adjacent matrix," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 281-289.
    9. Mao, Chongfeng & Yu, Xianyun & Zhou, Qing & Harms, Rainer & Fang, Gang, 2020. "Knowledge growth in university-industry innovation networks – Results from a simulation study," Technological Forecasting and Social Change, Elsevier, vol. 151(C).
    10. Zhao, Liming & Zhang, Haihong & Wu, Wenqing, 2017. "Knowledge service decision making in business incubators based on the supernetwork model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 249-264.
    11. Feng Hu & Lin Ma & Xiu-Xiu Zhan & Yinzuo Zhou & Chuang Liu & Haixing Zhao & Zi-Ke Zhang, 2021. "The aging effect in evolving scientific citation networks," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(5), pages 4297-4309, May.

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