With the help of cooperative game theory, this study constructs an integrated demand response economic game scheduling model for carbon trading, aiming to maximize collective and individual benefits. The model effectively reduces the system operating cost by adjusting the electricity price to incentivize PDR-VGU output. The impacts of price demand and integrated flexible operation demand on the coordination degree of carbon trading and the optimized dispatch results under different scenarios are analyzed in depth. It is found that when considering the carbon trading mechanism, the system operating cost and carbon emissions are reduced by RMB 2,129 and 9.63 tons, and RMB 2,350 and 11.96 tons, respectively, showing a win-win situation in terms of economy and environmental protection. In addition, the energy time-shift strategy implemented in the carbon capture power plant system effectively balances the peak-to-valley difference of thermal power output, further reducing the cost.