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arXiv · 2001.00366

Cooperative games on simplicial complexes

Ivan Martino
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Abstract

In this work, we define cooperative games on simplicial complexes, generalizing the study of probabilistic values of Weber and quasi-probabilistic values of Bilbao, Driessen, Jiménez Losada and Lebrón. Applications to Multi-Touch Attribution and the interpretability of the Machine-Learning prediction models motivate these new developments. We deal with the axiomatization provided by the $λ_i$-dummy and the monotonicity requirements together with a probabilistic form of the symmetric and the efficiency axioms. We also characterize combinatorially the set of probabilistic participation influences as the facet polytope of the simplicial complex.

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Ivan Martino. 2020-02-14. Cooperative games on simplicial complexes. https://arxiv.org/abs/2001.00366

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