The pricing problem of Responsive Feeder Transit (RFT) considering the competitive relationship with shared bikes was studied. Firstly, the revenue model including basic fare and passenger travel delay penalty was constructed, in which the basic fare of RFT and shared bikes was the function of distance from demand point to transfer station and rental time, respectively. Then, the pricing game process under the condition of competition between RFT and shared bikes was analyzed, and a nested bi-level programming pricing model was constructed. Finally, a solution algorithm was designed based on sensitivity analysis and genetic algorithm. The results show that the proposed method can effectively determine the unit fare and passenger flow sharing rate of RFT and shared bikes. When running with single-vehicle RFT: the unit fare of RFT is 0.8 yuan/km, the sharing rate is 72.7%, and the unit fare of shared bikes is 1.2 yuan/0.5 h, the sharing rate is 27.3%; when running with double-vehicle RFT: the unit fare of RFT is 0.5 yuan/km, the sharing rate is 89.1%, and unit fare of the shared bikes is 1.5 yuan/0.5 h, the sharing rate is 10.9%. Compared with the single-vehicle RFT, the basic fare of the double-vehicle RFT is decreased by 37.5%, and sharing passenger flow of the double-vehicle RFT is increased by 22.5%. The double-vehicle RFT can significantly increase the social benefits. However, the total revenue of operators has been significantly reduced, which requires the government to increase financial input. The social benefits of shared bikes and the total benefits of the operators are significantly reduced in the case of double-vehicle operation mode. With the improvement of the operation mode of the RFT system, the competitiveness of shared bikes has a relatively declining trend.