Cutting the Cake of the Emission Cap in the Peer-to-peer Multi-energy Sharing Market

With the development of communication technology and distributed energy resources, trading of carbon emission rights and peer-to-peer energy transactions have become popular research directions on the end-user side. Therefore, a cap-and-trade emission framework with peer-to-peer energy trading is employed in this paper. The emission cap decomposition problem is solved under the circumstances of a multi-energy peer-to-peer energy trading market. First, the multi-energy system is introduced in the peer-to-peer energy sharing model. The interaction between the prosumers and the system operator is defined. Then, the total emission cap, set by the operator, is modeled as a constraint. The decomposition of the emission cap is modeled as a cake-cutting game. Finally, the existence and uniqueness of the cake-cutting solution is proven by modeling the game to an equivalent monotone variational inequality problem. The complementary characteristics of multi energy in the market can ensure the utility of prosumers while reducing the total cap.