Evolutionary Game Research on the problem of Rural College Graduates returning home for Development in China

Under the background of Rural Revitalization Strategy in the new era, in order to add new impetus,bring new opportunities and create newsituation for the increasingly hollow countryside, the country actively calls on rural university graduates toreturn home to start a business and obtain employment. Despite the active implementation of national policies, the enthusiasm of college graduates to return home is not as strong as expected, so promoting the activity of rural college graduates and encouraging local governments to build a good environment for entrepreneurship and employment are the problems we are facing. Based on the evolutionary game theory, this paper establishes the evolutionary game model of decision-making behavior between local government and rural college graduates, and analyzes evolution processes and results of the whole game system in the different restriction on parameters. The most ideal strategic state is that local governments forwardly support graduates and college graduates actively return to their hometown for entrepreneurship and employment, which can meet the needs of economic development and benefit both sides, according to the evolution of this state, some reasonable suggestions are put forward from different levels.