Collaborative Development between Artificial Intelligence and the Digital Economy: An Empirical Study of Beijing Based on the Entropy Weight and Coupling Coordination Model

Currently, the global digital economy is experiencing rapid growth, and China is actively promoting digital consumption to stimulate domestic demand. As a rapidly advancing general-purpose technology, artificial intelligence (AI) has facilitated the transformation of the traditional economy and driven the expansion of the digital economy through its integration with economic systems. This study applies the entropy weight method and the coupling coordination model to examine the collaborative development of AI and the digital economy in Beijing, China. Using data from 2014 to 2023, it evaluates the overall development levels of the two sectors and analyzes their internal coupling relationships. The main findings are as follows: (1) In terms of comprehensive development, both AI and the digital economy in Beijing exhibited steady growth between 2014 and 2023, with their development levels gradually converging. (2) Although AI initially lagged behind the digital economy, it has since achieved a faster pace of development. (3) With respect to coupling and coordination, the relationship between AI and the digital economy in Beijing evolved from imbalance to gradual coordination during the study period, indicating substantial potential for further collaborative development in the future.