Abstract: Facing to the peak regulation market, a load aggregator should bid price and capacity to participant in market competition. Considering different loads demand response abilities, the selective combinatorial game mathematical model is built in this paper, so as to acquire optimal bidding schedule. The objective function minimizes demand response costs of the load aggregator. Meanwhile, constraints include peak regulation capacity, demand response potential, power usage demand, and so on. Load user in the load aggregator would provide its own reduction capacity via demand response function, and consider other loads' demand response through learning factors. The load aggregator would select optimal load combination to bid optimal price and capacity for peak regulation market. Simulation cases numerically prove the effectiveness of the selective combinatorial game model presented in this paper.