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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Main Authors: Chi Zhang, Yutong Wang, Tingqiang Chen
Format: Article
Language:English
Published: MDPI AG 2023-11-01
Series:Entropy
Subjects:
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.
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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