WebThe Shapley value for directed graph games Anna Khmelnitskaya Ozer Sel˘cuk y Dolf Talmanz October 16, 2014 Abstract The Shapley value for directed graph (digraph) games, TU games with limited coop-eration introduced by an arbitrary digraph prescribing the dominance relation among the players, is introduced.

[1701.01677] The Shapley Value of Digraph Games - arXiv

Web"The Average Covering Tree Value for Directed Graph Games," Discussion Paper 2012-037, Tilburg University, Center for Economic Research. Roger B. Myerson, 1977. " Graphs and … Webpute the Shapley value in arbitrary graph-restricted games, no such general-purpose algorithm has yet been developed for the Myerson value. Our aim in this paper is to develop a more efficient algorithm for computing the Shapley value, and to develop a general-purpose algorithm for computing the Myerson value, in graph-restricted games. sarah heinz house summer camp

GraphSVX: Shapley Value Explanations for Graph Neural Networks

WebOct 23, 2014 · The Shapley value for directed graph (digraph) games, TU games with limited cooperation introduced by an arbitrary digraph prescribing the dominance relation among the players, is introduced. It is defined as the average of marginal contribution vectors corresponding to all permutations that do not violate the subordination of players. WebJan 1, 1994 · For directed graphs, we show that the only vNM expected utility function that satisfies a certain risk neutrality, ... The paper is devoted to the Shapley value for cooperative games in generalized characteristic function form in which the players of coalitions are supposed to be ordered. An axiomatization of the generalized Shapley … WebThe Shapley value for directed graph games Anna Khmelnitskaya∗ Ozer Selcuk¨ † Dolf Talman‡ December8,2015 Abstract The Shapley value for directed graph (digraph) TU … sarah heinz house overnight camp