By introducing competition, the electricity market reform breaks the natural monopoly of the power system. The generation, transmission, distribution and sales separated electricity market will be formed gradually. Under this situation, there must be multiple types of electric power retailers existing in the market. Multiple types of retailers bidding models for retail electricity market are studied. In order to obtain the most profit, every electric power retailer regulates bidding strategy of their own according to its conjectural variation of clearing price of retail electricity market. The market equilibrium for both the inelastic mode and the elastic mode are studied by numerical simulation. The results show the feasibility and effectiveness of the proposed method. This work is supported by National Natural Science Foundation of China (No. 51007009) and Guizhou Provincial Science and Technology Fund (No.〔2016〕1036).