Abstract: In recent years, with the expansion of people's consumption scale, the issue of food safety has increasingly become the focus of scholars. As the Economically Motivated Adulteration (EMA) has the characteristics of deliberate, hidden and technical, it has put forward a series of challenges for food safety management in the new era. In this article, to solve the regulatory dilemma shown in the replicator dynamics equation, the spatial model of food regulatory agencies and food enterprises is constructed based on the cellular automata. The results show that, the food enterprises and the grassroots food regulatory agencies have the characteristics of synchronous shock in the selection of strategies. Moreover, when the strategic change intention of food enterprises or the strategic change intention of grassroots food regulatory agencies remains at a low level, the strategies of food enterprises and grassroots food regulatory agencies achieve long-term stability, and its stable state is (strict supervision, compliance production). Finally, based on the perspective of government regulation, the countermeasures and suggestions are put forward to ensure long-term supervision of regional food safety. This paper's results not only enrich the theory of food safety supervision in China, but also provid ideas and theoretical guidance for long-term local food safety supervision.

Key words: economic interest drive, food safety, cellular automata, evolutionary game, space dynamic