According to the typically static game features of the competitive activity in project bidding, using imperfect information static game theory and product difference theory to analyze the action of quoted price for competitive bidding, the game model based on Hotelling model is built up. The product difference and the preference of invite side are considered in model, so it can reflect factual process more. Based on above model, considering two conditions (perfect information and imperfect information), the quoted price strategy design method of bidder are respectively given by utilizing fuzzy evaluation method and an explanation of it is also made by numerical example. The corruption supervision problem in bidding is researched at last