Green Technology Game and Data-Driven Parameter Identification in the Digital Economy

The digital economy presents multiple challenges to the promotion of green technologies, including behavioral uncertainty among firms, heterogeneous technological choices, and disparities in policy incentive strength. This study develops a tripartite evolutionary game model encompassing government,...

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Main Authors: Xiaofeng Li, Qun Zhao
Format: Article
Language:English
Published: MDPI AG 2025-07-01
Series:Mathematics
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Online Access:https://www.mdpi.com/2227-7390/13/14/2302
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author Xiaofeng Li
Qun Zhao
author_facet Xiaofeng Li
Qun Zhao
author_sort Xiaofeng Li
collection DOAJ
description The digital economy presents multiple challenges to the promotion of green technologies, including behavioral uncertainty among firms, heterogeneous technological choices, and disparities in policy incentive strength. This study develops a tripartite evolutionary game model encompassing government, production enterprises, and technology suppliers to systematically explore the strategic evolution mechanisms underlying green technology adoption. A three-dimensional nonlinear dynamic system is constructed using replicator dynamics, and the Broyden–Fletcher–Goldfarb–Shanno (BFGS) algorithm is applied to identify key cost and benefit parameters for firms. Simulation results exhibit a strong match between the estimated parameters and simulated data, highlighting the model’s identifiability and explanatory capacity. In addition, the stability of eight pure strategy equilibrium points is examined through Jacobian analysis, revealing the evolutionary trajectories and local stability features across various strategic configurations. These findings offer theoretical guidance for optimizing green policy design and identifying behavioral pathways, while establishing a foundation for data-driven modeling of dynamic evolutionary processes.
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spelling doaj-art-5efcb839483645c98fbaf9bdc7ac49af2025-08-20T02:47:04ZengMDPI AGMathematics2227-73902025-07-011314230210.3390/math13142302Green Technology Game and Data-Driven Parameter Identification in the Digital EconomyXiaofeng Li0Qun Zhao1School of Economics and Law, College of Science & Technology, Ningbo University, Ningbo 315300, ChinaSchool of Economics and Law, College of Science & Technology, Ningbo University, Ningbo 315300, ChinaThe digital economy presents multiple challenges to the promotion of green technologies, including behavioral uncertainty among firms, heterogeneous technological choices, and disparities in policy incentive strength. This study develops a tripartite evolutionary game model encompassing government, production enterprises, and technology suppliers to systematically explore the strategic evolution mechanisms underlying green technology adoption. A three-dimensional nonlinear dynamic system is constructed using replicator dynamics, and the Broyden–Fletcher–Goldfarb–Shanno (BFGS) algorithm is applied to identify key cost and benefit parameters for firms. Simulation results exhibit a strong match between the estimated parameters and simulated data, highlighting the model’s identifiability and explanatory capacity. In addition, the stability of eight pure strategy equilibrium points is examined through Jacobian analysis, revealing the evolutionary trajectories and local stability features across various strategic configurations. These findings offer theoretical guidance for optimizing green policy design and identifying behavioral pathways, while establishing a foundation for data-driven modeling of dynamic evolutionary processes.https://www.mdpi.com/2227-7390/13/14/2302green technologiesevolutionary game modelnonlinear dynamic systemBFGS algorithm
spellingShingle Xiaofeng Li
Qun Zhao
Green Technology Game and Data-Driven Parameter Identification in the Digital Economy
Mathematics
green technologies
evolutionary game model
nonlinear dynamic system
BFGS algorithm
title Green Technology Game and Data-Driven Parameter Identification in the Digital Economy
title_full Green Technology Game and Data-Driven Parameter Identification in the Digital Economy
title_fullStr Green Technology Game and Data-Driven Parameter Identification in the Digital Economy
title_full_unstemmed Green Technology Game and Data-Driven Parameter Identification in the Digital Economy
title_short Green Technology Game and Data-Driven Parameter Identification in the Digital Economy
title_sort green technology game and data driven parameter identification in the digital economy
topic green technologies
evolutionary game model
nonlinear dynamic system
BFGS algorithm
url https://www.mdpi.com/2227-7390/13/14/2302
work_keys_str_mv AT xiaofengli greentechnologygameanddatadrivenparameteridentificationinthedigitaleconomy
AT qunzhao greentechnologygameanddatadrivenparameteridentificationinthedigitaleconomy