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Integrator-Based Dynamic Subsidy Allocation Ratio for Power Consumption Reduction Problems Modeled by Replicator Dynamics

This paper proposes an incentive allocation method for power consumption reduction problems modeled by replicator dynamics. The reduction target and the amount of incentive for each population of consumers are assumed to be determined by the aggregator. We propose an integrator-based dynamic incentive allocation ratio to each strategy in each population, and show a realization condition of the reduction target.