Abstract:In order to implement the decision of the Central Committee of the Communist Party of China, the policy of "reducing the decentralization of power, putting the management together, optimizing the service" put forward by the State Council. The government regulation under the decisive role of the market is an urgent problem to be studied. The cost of government supervision is one of the concerns of government departments. From the point of view of government regulation, the information gray level of market players is not higher, that is, the higher the market gray information, the lower the cost of government supervision, In view of the current excessive pursuit of high information gray phenomenon,the relationship between the composition, supervision cost and supervision cost of the gray market subject information is analyzed in this paper, based on the relationship between quality cost and the qualified rate is taken into account, so the market supervision cost and information model is to research and construct the grey index out of focus, finally the optimal information gray value can be obtained. According to the 28 rule, the gray range of the optimal information of the market players is given. Finally, according to the relevant data of the gray information and the cost of the government management department in a certain region, the optimal gray value and the optimal gray range are obtained by using the model constructed in this paper. The results of this paper provide the basis for the government supervision departments to determine the optimal information gray level of the market entities and determine the amount of information disclosure of the market entities.