Evolutionary game analysis for the strategic behavior in the provision of elderly care service

The paper develops an evolutionary game model to analyze the strategic behavior of government and private enterprise in the provision of elderly care service. Based on the replication dynamic system, the paper analyzes the evolutionary stability strategy of the two participants. Six scenarios are given and their evolution process and results are also analyzed. Numerical experiments are given to verify the influence of initial conditions and related parameters on the strategy selection of the private enterprise. The subsidy, fine, supervision cost, number of customers served by enterprise and other related factors will affect the strategic choice of the enterprise. Finally, policy recommendations are given to the government sector to promote the development of China's elderly service industry.