Examining a cross section of seven regional Emission Trading System (ETS) and thenational ETS in China, we explore the interplay between firms and governments. We find heterogeneous adaptation among firms. Firms in regions anticipating stringentpolicies reduce emissions and invest in decarbonization technology, whereas expecta-tions of lenient policies lead to increased emissions. Meanwhile, governments set upmore stringent carbon policies when firms decarbonize more proactively. The resultsare robust to allowance allocation policies, such as cap-and-trade or tradable perfor-mance standards. Our findings underscore the importance of strategic interactionsbetween firms and governments in decarbonization.

Climate change presents a global threat, prompting nations to adopt low-carbon development pathways to mitigate its potential impacts. However, current research lacks a comprehensive framework capable of integrating multiple variables and providing dynamic optimization capabilities. This article focuses on designing pathways for developing a low-carbon economy to tackle climate challenges. Specifically, we construct a low-carbon economy model that incorporates economic, environmental, social, energy, and policy factors to analyze the drivers of economic growth and carbon emissions. We utilize economic model predictive control and tracking model predictive control to optimize development pathways aligned with various low-carbon targets, creating and validating a comprehensive framework for low-carbon policy design using historical data from China. This study highlights significant advantages in analyzing low-carbon pathways through advanced techniques like hierarchical regression and model predictive control, providing a robust framework that enhances our understanding of causal relationships within the LCE system, captures system feedback, dynamically optimizes pathways, and accommodates diverse policies within a comprehensive low-carbon economy system.