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Complexity of Computing the Shapley Value in Games with Externalities (1909.01769v2)
Published 4 Sep 2019 in cs.GT and math.CO
Abstract: We study the complexity of computing the Shapley value in games with externalities. We focus on two representations based on marginal contribution nets (embedded MC-nets and weighted MC-nets). Our results show that while weighted MC-nets are more concise than embedded MC-nets, they have slightly worse computational properties when it comes to computing the Shapley value.