[1]WU Liqin,XU Yong,WANG Jinhuan,et al.Evolutionary enterprise innovation networked game based on the semi-tensor product of matrices[J].CAAI Transactions on Intelligent Systems,2018,13(5):776-782.[doi:10.11992/tis.201706064]
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CAAI Transactions on Intelligent Systems[ISSN 1673-4785/CN 23-1538/TP] Volume:
13
Number of periods:
2018 5
Page number:
776-782
Column:
学术论文—智能系统
Public date:
2018-09-05
- Title:
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Evolutionary enterprise innovation networked game based on the semi-tensor product of matrices
- Author(s):
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WU Liqin1; XU Yong1; WANG Jinhuan1; LI Jie2
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1. School of Sciences, Hebei University of Technology, Tianjin 300401, China;
2. School of Economics and Management, Hebei University of Technology, Tianjin 300401, China
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- Keywords:
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enterprise innovation; semi-tensor product; innovation networks; evolutionary game; Nash equilibrium; government regulation; Boxed Pig game; strategy profile
- CLC:
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F270;TP18
- DOI:
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10.11992/tis.201706064
- Abstract:
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In the contemporary economic environment, innovation has become the inevitable condition for the survival and development of enterprises. In this paper, all the enterprises were classified into two categories according to the scale, establishing a double-layer coupling network of enterprise innovation, and the process of the game between enterprises was studied. Firstly, taking "Boxed Pig Game" as the basic game, the semi-tensor product method was used to get the strategy of each enterprise at every moment, not the proportion of the enterprise overall innovation. Secondly, the optimal stability for the Nash equilibrium of the whole enterprise innovation network was reached according to the payoff function. Finally, the government regulation was introduced to change the basic matrix of the game and therefore reach a stable state of the optimal Nash equilibrium; that is, all enterprises realized innovation all round.