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We look at quantitative information on the two\u2010way relationships between power exchanges and spin dynamics. To this end, a modified version of the Metropolis\u2010Hastings algorithm was implemented, including a gradient descent through the constraint surface. This allowed us to analyse the system on a large scale (considering the cumulated benefit of all the actors involved) and also from the perspective of total aggregation. In a maximum flexibility scenario, the total aggregation profit increases with the number of aggregators. 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