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CoRR, 2013 Following the original interpretation of the Shapley value (Shapley, 1953a) as a priori evaluation of the prospects of a player in a multi-person interaction situation, we propose a group value, which we call the Shapley group value, as a priori evaluation of the prospects of a group of players in a coalitional game when acting as a unit.
Tejada, Juan +2 more
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The Inverse Shapley Value Problem [PDF]
Games and Economic Behavior, 2012 For $f$ a weighted voting scheme used by $n$ voters to choose between two candidates, the $n$ \emph{Shapley-Shubik Indices} (or {\em Shapley values}) of $f$ provide a measure of how much control each voter can exert over the overall outcome of the vote.
Anindya De +2 more
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Assessing Antithetic Sampling for Approximating Shapley, Banzhaf, and Owen Values
AppliedMath, 2023 Computing Shapley values for large cooperative games is an NP-hard problem. For practical applications, stochastic approximation via permutation sampling is widely used. In the context of machine learning applications of the Shapley value, the concept of
Jochen Staudacher, Tim Pollmann
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The Shapley value of phylogenetic trees [PDF]
Journal of Mathematical Biology, 2007 References added, and a section (calculating the Shapley value of a tree game from its subtrees) was removed for length reasons (request of referee) and may appear in another paper. 16 pages; related work at http://www.math.hmc.edu/~su/papers.html. Journal of Mathematical Biology, to appear.
Haake, Claus-Jochen +2 more
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Explaining predictive models using Shapley values and non-parametric vine copulas
Dependence Modeling, 2021 In this paper the goal is to explain predictions from complex machine learning models. One method that has become very popular during the last few years is Shapley values.
Aas Kjersti +3 more
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Solving Fuzzy Optimization Problems Using Shapley Values and Evolutionary Algorithms
Mathematics, 2023 The fusion of evolutionary algorithms and the solution concepts of cooperative game theory is proposed in this paper to solve the fuzzy optimization problems.
Hsien-Chung Wu
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The Shapley Value, Proper Shapley Value, and Sharing Rules for Cooperative Ventures [PDF]
SSRN Electronic Journal, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
René van den Brink +2 more
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Puzzle out Machine Learning Model-Explaining Disintegration Process in ODTs
Pharmaceutics, 2022 Tablets are the most common dosage form of pharmaceutical products. While tablets represent the majority of marketed pharmaceutical products, there remain a significant number of patients who find it difficult to swallow conventional tablets.
Jakub Szlęk +4 more
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UNCERTAINTY OF THE SHAPLEY VALUE [PDF]
International Game Theory Review, 2003 This paper defines a measure of bargaining uncertainty that quantifies Roth's concept of strategic risk. It shows how this measure can be used for checking reliability of the Shapley value in cost allocation problems and in the theory of competitive equilibrium.
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On the coincidence of the prenucleolus and the Shapley value [PDF]
Mathematical Social Sciences, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anirban Kar +2 more
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