The study constructed an analysis framework for housing purchase restriction intensities based on the policy diffusion theory,takes 49 prefecture-level cities involved in the second round of housing purchase restriction as the research objects,quantitatively measures the housing purchase restriction intensity,and analyzes their spatio-temporal diffusion pattern. It uses the GWR model to explore the internal mechanisms of different cities' housing purchase restriction intensities. The results show that: 1) The intensity of housing purchase restriction policies shows the flexible and irregular diffusion characteristics,it shows the jumping diffusion mode in cities with high-intensity diffusion,and the infectious diffusion mode in urban agglomerations. The gradient pattern of housing purchase restriction intensity shifts to the gradient pattern which takes the urban agglomerations as the unit at the national level. 2) Cities' housing purchase restriction policies are determined comprehensively by multidimensional demands like controlling house prices,stabilizing growth of economy,preserving investment,responding to central regulation,and benchmarking with peer cities,the effects of which are spatio-temporal heterogeneous. In the temporal dimension,although cities' demands on house prices,preserving investment and stabilizing growth of economy may change gradually,the demands for benchmarking cities remain the same. In the spatial dimension,effects of different factors show differences between the eastern,central,and western regions while similarity exists within urban agglomerations. 3) The spatial-temporal characteristics of housing purchase restriction policy diffusion are the result of the combination of various influencing factors,the housing purchase restriction intensity gradually shows a gradient pattern within urban agglomerations. Therefore, the inter-city benchmarking should be an important factor influencing cities' policy. In the future,the horizontal interaction under centralized power should be comprehensively portrayed,so as to more deeply understand the characteristics and internal mechanisms of our country's city public policy diffusion.
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