Evolution Dynamics Model of Private Enterprises under Simultaneous and Sequential Innovation Decisions
The innovation of private enterprises plays a crucial role. This study focuses on the impacts of market information asymmetry, the technology spillover effect, and the order of innovation research and development (R&D) decisions on the evolution of private enterprises’ innovation. This study con...
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MDPI AG
2023-11-01
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Online Access: | https://www.mdpi.com/1099-4300/25/11/1553 |
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author | Chi Zhang Yutong Wang Tingqiang Chen |
author_facet | Chi Zhang Yutong Wang Tingqiang Chen |
author_sort | Chi Zhang |
collection | DOAJ |
description | The innovation of private enterprises plays a crucial role. This study focuses on the impacts of market information asymmetry, the technology spillover effect, and the order of innovation research and development (R&D) decisions on the evolution of private enterprises’ innovation. This study constructs a dynamic model to analyze how the innovation decision-making order of private enterprises influences their profits and intertemporal innovation decision making. First, we derive the equilibrium point under sequential decisions and the stability of the system at the equilibrium point. Second, we investigate the impact of sequential and simultaneous innovation decisions on the evolution of the dynamic system and its economic implications. Finally, we study the evolutionary dynamics of the attractor with the rate of innovation adjustment and point to the existence of multiple equilibria. The results suggest that the speed of the innovation R&D cost change should be moderate, and the asynchronous updating of the innovation R&D strategy can prevent the system evolution from turning into chaos. These conclusions guide innovation policies. |
first_indexed | 2024-03-09T16:50:53Z |
format | Article |
id | doaj.art-6d38e1d04df8472b9f52804311169010 |
institution | Directory Open Access Journal |
issn | 1099-4300 |
language | English |
last_indexed | 2024-03-09T16:50:53Z |
publishDate | 2023-11-01 |
publisher | MDPI AG |
record_format | Article |
series | Entropy |
spelling | doaj.art-6d38e1d04df8472b9f528043111690102023-11-24T14:41:06ZengMDPI AGEntropy1099-43002023-11-012511155310.3390/e25111553Evolution Dynamics Model of Private Enterprises under Simultaneous and Sequential Innovation DecisionsChi Zhang0Yutong Wang1Tingqiang Chen2School of Economics and Management, Nanjing Tech University, Nanjing 211816, ChinaSchool of Economics and Management, Nanjing Tech University, Nanjing 211816, ChinaSchool of Economics and Management, Nanjing Tech University, Nanjing 211816, ChinaThe innovation of private enterprises plays a crucial role. This study focuses on the impacts of market information asymmetry, the technology spillover effect, and the order of innovation research and development (R&D) decisions on the evolution of private enterprises’ innovation. This study constructs a dynamic model to analyze how the innovation decision-making order of private enterprises influences their profits and intertemporal innovation decision making. First, we derive the equilibrium point under sequential decisions and the stability of the system at the equilibrium point. Second, we investigate the impact of sequential and simultaneous innovation decisions on the evolution of the dynamic system and its economic implications. Finally, we study the evolutionary dynamics of the attractor with the rate of innovation adjustment and point to the existence of multiple equilibria. The results suggest that the speed of the innovation R&D cost change should be moderate, and the asynchronous updating of the innovation R&D strategy can prevent the system evolution from turning into chaos. These conclusions guide innovation policies.https://www.mdpi.com/1099-4300/25/11/1553information asymmetrytechnology spillover effectdecision-making orderinnovation research and developmentprivate enterprises |
spellingShingle | Chi Zhang Yutong Wang Tingqiang Chen Evolution Dynamics Model of Private Enterprises under Simultaneous and Sequential Innovation Decisions Entropy information asymmetry technology spillover effect decision-making order innovation research and development private enterprises |
title | Evolution Dynamics Model of Private Enterprises under Simultaneous and Sequential Innovation Decisions |
title_full | Evolution Dynamics Model of Private Enterprises under Simultaneous and Sequential Innovation Decisions |
title_fullStr | Evolution Dynamics Model of Private Enterprises under Simultaneous and Sequential Innovation Decisions |
title_full_unstemmed | Evolution Dynamics Model of Private Enterprises under Simultaneous and Sequential Innovation Decisions |
title_short | Evolution Dynamics Model of Private Enterprises under Simultaneous and Sequential Innovation Decisions |
title_sort | evolution dynamics model of private enterprises under simultaneous and sequential innovation decisions |
topic | information asymmetry technology spillover effect decision-making order innovation research and development private enterprises |
url | https://www.mdpi.com/1099-4300/25/11/1553 |
work_keys_str_mv | AT chizhang evolutiondynamicsmodelofprivateenterprisesundersimultaneousandsequentialinnovationdecisions AT yutongwang evolutiondynamicsmodelofprivateenterprisesundersimultaneousandsequentialinnovationdecisions AT tingqiangchen evolutiondynamicsmodelofprivateenterprisesundersimultaneousandsequentialinnovationdecisions |