We investigate strategic corporate social responsibility (CSR) in a network duopoly with loan commitments. We find that the optimal rate of a bank loan decreases with an increasing degree of CSR under certain conditions. The firm's strategic behavior in imperfect competition concerning CSR is beneficial to society with the support of financial institution. It is possibly due to the fact that CSR adopted by a firm is used as a strategic commitment device to capture a larger market share coupled with demand-side network effects. Our results have important implications on financial policies in a network industry.

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In recent years, in the context of “double carbon” and innovation-driven synthesis, the volume of green finance has been growing year by year, and the intensity of environmental regulation has been stabilizing. As green financial technology innovation cannot be separated from the support of financial market and government policies, how to promote green financial technology innovation with green finance and environmental regulation has become a hot issue. How to control the appropriate strength of environmental regulations to promote green financial technology innovation is a matter of continuous exploration by local governments. The research of this paper is about the utility analysis of green finance policy: a policy incentive financial mechanism based on the state space model theory algorithm. Therefore, this paper introduces the theory of green finance based on the state space model algorithm and neural network model algorithm to study China’s green finance policy incentive mechanism, profoundly study the current situation of domestic green finance development, and put forward further strengthen the leading role of the government in green financial innovation. At the same time, suggestions for achieving coordinated regional development were made in terms of giving full play to the role of financial markets in promoting green technology innovation.