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Entropy 2016, 18(12), 424; doi:10.3390/e18120424

Measurement on the Complexity Entropy of Dynamic Game Models for Innovative Enterprises under Two Kinds of Government Subsidies

1
,
1
and
1,2,*
1
College of Management and Economics, Tianjin University, Tianjin 300072, China
2
College of Management and Economics, Handan University, Handan 056000, Hebei, China
*
Author to whom correspondence should be addressed.
Academic Editor: J.A. Tenreiro Machado
Received: 11 October 2016 / Revised: 22 November 2016 / Accepted: 23 November 2016 / Published: 29 November 2016
(This article belongs to the Section Complexity)

Abstract

In this paper, setting the high-tech industry as the background, we build a dynamic duopoly game model in two cases with different government subsidies based on the innovation inputs and outputs, respectively. We analyze the equilibrium solution and stability conditions of the system, and study the dynamic evolution of the system under the conditions of different system parameters by the numerical simulation method. The simulation results show that both innovation subsidy policies have positive effects on firms’ innovation activities. Besides, improving the level of innovation can encourage firms to innovate. It also shows that an exaggerated adjusting speed of innovation outputs may cause complicated dynamic phenomena such as bifurcation and chaos, which means that the system has relatively higher entropy than that in a stable state. The degree of the government innovation subsidies is also shown to impact the stability and entropy of the system. View Full-Text
Keywords: government subsidies; innovation; dynamic game; measure complex entropy; chaos government subsidies; innovation; dynamic game; measure complex entropy; chaos
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Ma, J.; Sui, X.; Li, L. Measurement on the Complexity Entropy of Dynamic Game Models for Innovative Enterprises under Two Kinds of Government Subsidies. Entropy 2016, 18, 424.

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