Abstract: In the process of promoting the new drivers of Chinesestyle modernization，the efficient allocation of innovative factors is crucial for promoting highquality innovation and enhancing the potential growth rate This paper introduces the knowledge spillover structure of innovation networks into an endogenous growth model，proposing a quantifiable framework for optimal R&D resource allocation Additionally，based on big data from patents，the paper calculates the optimal allocation of R&D resources and potential welfare gains at the industry level，offering a scientific basis for policymaking
The paper draws the following conclusions：Firstly，theoretical analysis indicates that a social planner focused on longterm growth should allocate more R&D resources to core sectors within the innovation network Secondly，the baseline results indicate that knowledge spillover significantly promote firm innovation，with specialized and innovative enterprises and nonstateowned enterprises exhibiting stronger knowledge spillover effects Thirdly，accounting based on industrylevel data suggests that more R&D resources should be allocated to strategic emerging industries such as certain manufacturing sectors，information transmission，software，and information technology services Measurements of R&D misallocation and consumer welfare gains reveal that the efficiency of R&D allocation across industries has significantly improved in recent years Moreover，compared to scenarios not embedded in the innovation network，R&D allocation within the innovation network further enhances welfare levels
Compared with existing studies，this paper makes three possible marginal contributions in three aspects：Firstly，this study introduces the dynamic network structure of knowledge spillover into an endogenous growth model，establishing a more general theoretical framework This framework reveals the mechanisms through which knowledge spillover affects firm performance，providing new theoretical support for formulating longterm and effective innovation strategies Secondly，this study empirically tests the impact of knowledge spillover on firm innovation，estimates the optimal R&D resource allocation and potential welfare gains at the industry level This practice not only validates the realworld applicability of the theoretical model but also offers new perspectives for policymakers Thirdly，by incorporating a large amount of patent data from nonlisted firms into the analysis，the study constructs a microlevel knowledge spillover indicator at the firm level This effectively captures the extent and direction of knowledge spillover among firms，significantly improving the reliability of empirical models and numerical simulations，and providing new insights into understanding knowledge interactions across different sectors

Key words: firm innovation, knowledge spillovers, innovation network, R&, D allocation

摘要： 在塑造高质量发展新动能新优势的过程中，创新要素的高效配置对推动提升潜在增长率和实现中国式现代化至关重要。本文将创新网络的知识溢出结构引入内生增长模型，探讨了研发资源的最优配置问题。理论研究表明，在现有资源禀赋下，研发重心应转向创新网络中的中心部门。实证分析发现，知识溢出显著提高了企业创新水平，其中，专精特新企业和非国有企业的知识溢出效应更强。数据核算发现，近年来各行业的研发配置效率显著提高，但仍需要对战略性新兴产业配置更多的研发资源，以最大提升消费者的福利水平。

关键词: 企业创新, 知识溢出, 创新网络, 研发配置