Abstract: The coupling and co-evolution of industrial chain finance and digital-intelligent innovation promote the deep integration of capital chain, innovation chain, talent chain, and industrial chain, providing a novel perspective and implementation path for the development of new quality productivity. Based on the new quality productivity function, this paper constructs a quadripartite evolutionary game model involving “financial institutions - leading enterprises - small and medium-sized enterprises (SMEs) - universities and research institutes”, revealing the development mechanism of new quality productivity under complex systems. The study finds that: (1) the steady-state evolution of the system is driven by the interweaving of key variables, and the strategic choices of entities are influenced by multiple factors, including the cost-benefit of digital-intelligent transformation, risk transmission, and resource spillover; (2) the transition from low-efficiency equilibrium to high-efficiency equilibrium hinges on the threshold breakthrough of critical variables, encompassing digital-intelligent investment, inter-entity collaboration costs, the enabling effects of digital-intelligent talents and innovation, and policy compensation intensity; (3) industrial chain finance and digital-intelligent innovation activate the spiral interaction of “talent chain→innovation chain→capital chain→industrial chain”, forming a dynamic co-evolution enhancement mechanism: financial institutions reconstruct capital chain logic leveraging digital-intelligent risk control, leading enterprises drive industrial chain ecosystem upgrading, universities and research institutes enhance talent and innovation empowerment efficiency, and SMEs unleash synergistic effects through iterative participation and symbiotic development; (4) green digital and intelligent technology achieves increasing marginal returns through threshold breakthroughs in green efficiency, and the digital and intelligent empowerment and industrial chain financial leverage effects exhibit asymmetric reciprocity and phased dependence. The main contributions of this paper lie in three aspects: theoretically it constructs a new quality productive force function, breaking through the limitations of traditional production functions; methodologically it designs a four-party evolutionary game framework to identify the role of multi-agent key variables and their threshold conditions, and quantitatively analyzes dynamic evolution laws; practically it proposes a governance path to promote the development of new quality productive force, emphasizing multi-agent collaboration, multi-stage implementation, four-chain integration, and green regulation.

Key words: industry chain finance, digital intelligence innovation, new quality productive force, four-chain integration, evolutionary game