| At present,the digital economy is developing in depth,with a deepening impact on industrial upgrading and industrial transformation.The value of producer services is growing as it serves as a crucial intermediary in fostering high-quality growth in the manufacturing sector and promoting the high end growth of the industrial value chain.However,China’s producer services are underdeveloped in high-end links and important areas of the value chain,and the development of high-valueadded industries is relatively backward.In order to expand the producer services sector to the high end of the industrial chain,it has thus become more vital to make up for gaps in its growth and raise the degree of innovative development.This research explores how the digital economy affects the expansion of producer services and examines the underlying processes that fuel this expansion.It affects the growth of producer services in both theoretical and practical ways to encourage the growth of the real economy.The influence of the digital economy on the growth of producer service industries is comprehensively studied in this article,which employs both normative and empirical analytic approaches.In order to understand the mechanism of the impact of the development of the digital economy on the producer service industry from the perspective of resources,industry,and technology,this paper first analyzes the current situation of the development of China’s digital economy and producer service industry.In addition,this study creates a Chinese system for measuring the growth of the digital economy and applies the entropy value approach to measure it across various provinces.Finally,this study builds an econometric model to experimentally evaluate the implications of the digital economy on the expansion of producer services,using data from 31 provinces in China from 2012 to 2021,and carries conducted an examination of regional heterogeneity and the intermediate effect.To investigate how the digital economy’s geographical spillover effects have impacted the expansion of producer service industries,this article simultaneously builds a spatial Durbin model with a twofold fixation in time and space.The results found that,firstly,China’s digital economy and producer services have both developed significantly in the past few years,and there are clear geographical distinctions between them,with the eastern part of the country being larger than the central part and the central part larger than the western part.Secondly,China’s digital economy drives the development of producer services through resource empowerment,technological intelligence,and industrial value-added.According to empirical regression results,the effect of the digital economy on the growth of producer services is large and significantly regionally dependent.Also,by fostering more innovation,the digital economy may aid in the growth of the producer services industry.Thirdly,the producer services sector has seen large geographical spillover effects as a result of the digital economy,which has both a positive impact on the local producer services sector and the producer services sector in nearby areas.Finally,this paper makes pertinent policy recommendations based on the findings of theoretical and empirical analyses:the coordinated development of the digital economy and producer services should be promoted in accordance with local conditions;the producer service industry’s digital transformation should be accelerated and the application of digital technology in the producer service industry should be enhanced;To encourage the convergence of the manufacturing and productive service industries,the producer service industry cluster should be created.This study is novel in that it mixes normative and empirical studies to look at how the digital economy has affected the growth of producer service sectors and to investigate the fundamental forces at play in the digital economy that is responsible for this growth.In addition,this study is a refinement and supplement to the current research on industry digitization.The fixed effects model and spatial Durbin model are used to test the impact of the digital economy on the development of productive services,which is a refinement and supplement to existing research. |