论文标题
简单综合体的合作游戏
Cooperative games on simplicial complexes
论文作者
论文摘要
在这项工作中，我们定义了有关简单络合物的合作游戏，从而概括了比尔巴奥，德里森，吉米斯·洛萨达和莱布隆的韦伯和准培养基价值的概率值的研究。多点触摸归因和机器学习预测模型的可解释性的应用激发了这些新的发展。 我们处理由$λ_i$ - 虚拟和单调性要求提供的公理化以及对称和效率公理的概率形式。我们还以组合形式表征了一组概率参与的影响，这是简单络合物的相结合。
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.
