Game Analysis of Green Technology Innovation Ecosystem Evolution at Carbon Peaking
Abstract
:1. Introduction
2. Literature Review
3. Research Methods and Model Construction
3.1. Model Assumptions
3.1.1. Strategy Choices and Probability Distributions of Game Participants
- (1)
- Connotation of Bounded Rationality Assumption
- (2)
- Enterprises’ Strategy Choices and Probability Distributions
- (3)
- Consumers’ Strategy Choices and Probability Distributions
- (4)
- Government’s Strategy Choices and Probability Distributions
- (5)
- Comprehensive Analysis: Interactivity of Strategy Choices
- (6)
- Stability Analysis
3.1.2. Measures of Proactive Regulation by the Government and Its Cost Structure
- (1)
- Incentivizing Technological Innovation
- (2)
- Punishing Traditional Production
- (3)
- Regulatory Costs and Environmental Governance Costs
3.1.3. Composition of Benefits and Costs of Enterprises’ Green Technological Innovation
- (1)
- Benefits of Enterprises’ Green Technological Innovation
- (2)
- Costs of Enterprises’ Green Technological Innovation
- (3)
- Sales Revenue from Enterprises’ Green Technological Innovation
- (4)
- Comprehensive Analysis and Strategy Selection
3.1.4. Utility and Benefit Composition of Consumers’ Purchase Decisions
- (1)
- Basic Utility (U)
- (2)
- Purchase Cost (P)
- (3)
- Social Welfare (G)
- (4)
- Perceived Benefits (W)
- (5)
- Government Reputation Benefits (S)
3.2. Rationale for Model Assumptions
3.3. Model Construction
4. Analysis of Evolutionarily Stable Strategies of the Three Parties
4.1. Asymptotic Stability Analysis of Enterprises
- (1)
- When , by substituting and into , respectively, we can obtain and . Then we can know that is the evolutionary stability point. Therefore, when the government’s willingness to take active measures to regulate the market is lower than , firms choose conventional production.
- (2)
- When , , then is the evolutionary stability point. Therefore, when the probability of active government regulation is higher than , firms choose green innovative technologies to provide green products. Based on the above analysis, the replication dynamic phase diagram of the firm is obtained (as shown in Figure 1).
4.2. Asymptotic Stability Analysis of Consumers
- (1)
- When , substituting and into , we obtain and . At this time, is the evolutionary stability point. Therefore, when the strategic probability of a firm offering a green product is lower than , consumers choose not to buy green products enough.
- (2)
- When , and . At this point is the evolutionary stability point, i.e., consumers are willing to buy green products when the probability of the firm’s strategy to produce green products is higher than (as shown in Figure 2).
4.3. Asymptotic Stability Analysis of the Government
- (1)
- When , by substituting and into , we obtain and , then is the evolutionary stability point. That is, when consumers’ willingness to purchase green products is lower than , the green consumption market is depressed, and the government chooses a negative regulation strategy.
- (2)
- When , by substituting and into , we obtain and , then is the evolutionary stability point. Therefore, the government chooses active measures to regulate the market when consumer preferences for green products are higher than (as shown in Figure 3).
4.4. Evolutionary Stability Analysis of the Green Technological Innovation System
- (1)
- When , , and , The gap between the benefits and costs of providing green products is lower than the benefits of providing traditional products. The cost of government regulation is higher than the benefit obtained, and at this point, and corresponding to Jacobian matrix eigenvalues are less than 0 and are equilibrium points. Therefore, {provide traditional products, buy traditional products, and negatively regulate} and {provide green products, buy green products, and positively regulate} are evolutionary stable strategies.
- (2)
- When , , and , government’s emissions charges and subsidies for green products are lower than the difference between the cost of green production and the benefits received by companies when consumers choose traditional products and the sum of the benefits of traditional production by companies. Table 4 shows that the equilibrium points and correspond to negative eigenvalues, at which time {provide traditional products, buy traditional products, and negatively regulate} and {provide green products, buy green products, and positively regulate} are evolutionary stabilization strategies.
- (3)
- When or , when consumers choose traditional products, the difference between the benefits and costs of providing green products is only lower than the benefits that companies receive from providing traditional products; or when companies produce green products, the benefits that consumers receive from purchasing green products are higher than the benefits that companies receive from green production when purchasing traditional products. Therefore, corresponding to eigenvalues all less than 0 is the equilibrium point and {provide green products, buy green products, actively regulate} is the evolutionary stabilization strategy.
5. Discussion Based on Simulation Analysis
5.1. Impact of Subsidy Coefficient α1 on the Evolutionary Behavior of the Three-Party Game
- (1)
- Evolutionary Trends in Enterprises’ Strategy Choices
- (2)
- Evolutionary Trends in Consumers’ Strategy Choices
- (3)
- Evolutionary Trends in Government’s Strategy Choices
5.2. Impact of Punishment Coefficient α2 on the Evolutionary Behavior of the Three-Party Game
- (1)
- Evolutionary Trends in Enterprises’ Strategy Choices
- (2)
- Evolutionary Trends in Consumers’ Strategy Choices
- (3)
- Evolutionary Trends in Government’s Strategy Choices
5.3. Impact of Consumers’ Green Preference γ on the Evolutionary Behavior of the Three-Party Game
- (1)
- Evolutionary Trends in Enterprises’ Strategy Choices
- (2)
- Evolutionary Trends in Consumers’ Strategy Choices
- (3)
- Evolutionary Trends in Government’s Strategy Choices
6. Conclusions and Recommendations
6.1. Conclusions
- (1)
- Impact of Government Regulation on Enterprises’ Green Production
- (2)
- Influence of Consumers’ Green Preferences on Green Product Demand
- (3)
- Effect of Initial Willingness of Participants on Evolutionary Outcomes
6.2. Recommendations
- (1)
- Strengthen Government Regulation and Policy Incentives to Promote Green Technological Innovation
- (2)
- Accelerate Industrial Green Transformation and Fulfill Global Climate Governance Commitments
- (3)
- Expand the Green Consumer Market and Enhance Public Environmental Awareness
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Parameters | Parameters’ Meanings |
---|---|
Cap on government subsidies for companies offering green products | |
Subsidy coefficient | |
Cap on the government’s sewage charges for companies supplying traditional products | |
Penalty coefficient | |
Costs of active government regulation | |
Costs of environmental treatment to government | |
Government Environmental Benefits | |
Brand revenue from companies offering green products | |
Cost of Green Products | |
Cost of traditional products | |
Green Product Benefits | |
Traditional product benefits | |
Consumer purchase of product base utility | |
Consumer expenditure on green products | |
Consumer expenditure on traditional products | |
Consumer access to social benefits under active government regulation | |
Consumer Green Preference | |
Green Consumer Perceived Benefits | |
Government reputation gain |
Consumers buy green products | Consumers buy traditional products | Consumers buy green products | Consumers buy traditional products | |
Providing green products | ||||
Providing traditional products |
Equilibrium Point | |||
---|---|---|---|
Equilibrium Point | Scenario 1 | Scenario 2 | Scenario 3 | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
Stability | Stability | Stability | ||||||||||
ESS | Saddle point | Saddle point | ||||||||||
Saddle point | ESS | Saddle point | ||||||||||
Saddle point | Saddle point | Saddle point | ||||||||||
Saddle point | Saddle point | Saddle point | ||||||||||
Saddle point | Saddle point | Saddle point | ||||||||||
Saddle point | Saddle point | Saddle point | ||||||||||
Saddle point | Saddle point | Saddle point | ||||||||||
ESS | ESS | ESS |
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Zhou, Z.; Li, M.; Chi, X.; Khan, A.U. Game Analysis of Green Technology Innovation Ecosystem Evolution at Carbon Peaking. Sustainability 2025, 17, 2728. https://doi.org/10.3390/su17062728
Zhou Z, Li M, Chi X, Khan AU. Game Analysis of Green Technology Innovation Ecosystem Evolution at Carbon Peaking. Sustainability. 2025; 17(6):2728. https://doi.org/10.3390/su17062728
Chicago/Turabian StyleZhou, Zhengsong, Mingxing Li, Xiaomeng Chi, and Asad Ullah Khan. 2025. "Game Analysis of Green Technology Innovation Ecosystem Evolution at Carbon Peaking" Sustainability 17, no. 6: 2728. https://doi.org/10.3390/su17062728
APA StyleZhou, Z., Li, M., Chi, X., & Khan, A. U. (2025). Game Analysis of Green Technology Innovation Ecosystem Evolution at Carbon Peaking. Sustainability, 17(6), 2728. https://doi.org/10.3390/su17062728