Abstract: Integrated demand response (IDR) is an important way for regional integrated energy system (RIES) to maintain the balance between supply and demand and realize the local consumption of distributed energy, which has become the current research hotspot. However, existing studies on IDR have the following three deficiencies. When integrated energy service providers (IESPs) formulate incentive strategies, they have not taken into account the response fatigue characteristics of users within the region. Furthermore, in the implementation of IDR within complex scenarios, the transaction of response responsibilities among regional IESPs has not been considered, and the coupling relationship between response responsibilities and carbon emission responsibilities has been overlooked. To address these issues, this paper begins by analyzing the evolutionary characteristics of user willingness to respond based on the number of responses. It effectively models the fatigue characteristics of user responses by introducing a response fatigue function. Building upon this foundation, the paper establishes complex scenarios involving multiple IESPs participating in IDR, categorized by the response task types of IESPs. In order to achieve economic viability and low carbon emissions for each IESP participating in IDR, a coupling mechanism for response responsibilities and carbon emission responsibilities is proposed. This mechanism is established by considering energy transfers and carbon emission transfers among IESPs in complex scenarios when trading response responsibilities. Finally, an optimal trading price is determined using a negotiation method based on adaptive iterative step sizes. The effectiveness of the proposed model is verified through simulation examples. The improved model, which takes into consideration user response fatigue characteristics, increases total user benefits by 27%. The proposed trading mechanism not only reduces the total costs for IESPs in various scenarios by 15.8%, 9.8%, and 94.1%, respectively, but also decreases carbon emissions by 17.8% in a typical scenario. This enhancement improves the economic viability and low carbon aspects of IESPs' participation in IDR, achieving a win-win situation for both IESPs and users.