A multi-carrier energy system connects numerous energy carriers and incorporates a variety of energy sources to increase the system’s adaptability. This study proposes a coordinated multi-carrier energy system in which a network of multiple energy systems share their reserves to lower their costs. Each energy hub includes a number of sources, which are electrical chiller, absorption chiller, CHP, boiler, and renewable sources. Additionally, in order to boost the adaptability of energy hubs, energy storage for electrical, cooling, and heating systems has been taken into account. The used approach discovers the best solution, in contrast to using Nash-equilibrium point techniques, which locate the equilibrium point but provide no assurance to the optimal solution. In order to distribute the coalition’s overall gain depending on the participation and effectiveness of the energy hubs, the Shapley value is used. Also, the formulated problem is regarded as a mixed integer linear programming, and the reduction in the cost of interconnected energy system in the cooperative operation shows that the suggested strategy is effective. The results reveal that implementing the fair revenue method improved hub1, hub2, and hub3 by 19.61%, 12.46%, and 9.73%, respectively.