Spatial Characterization of Sports Economic Linkages - Based on an Evolutionary Game Theory Perspective

There exists an important connection between the development of the sports economy and the development of spatial characteristics, but the current development of spatial characteristics of sports economic linkages suffers from the lack of identification and screening of the subjects of interest and the inability to articulate the structure of the interests of each subject. The article adopts the research paradigm based on rooted theory to encode the game phenomenon of the spatial characteristics of sports economic linkages and constructs an evolutionary game model that integrates the sports administrative regulator, the supply side of community public sports services, and the demand side. The optimal equilibrium strategy to promote the sustainable development of urban community public sports services spatial governance is also explored by combining the Jacobian matrix and simulation experiments. Although the tripartite subjects play different dynamic roles at different stages of transformation, they all converge to the steady state of (1, 1, 1) in the end. In addition, the three have different evolutionary processes. First, the probability of choosing the support strategy in the economic core area decreases and then rises, while the probability of government support and mass recognition both increase. The economic core area, government support, and mass recognition are all experiencing a gradual increase. Finally, the probability of mass recognition shows a first decline and then a rise, while the probability of economic core area and government support continues to show an increase, and the three finally evolve into a (1, 1, 1) strategy steady state.