Results 11 to 20 of about 29,055 (302)
On weighted Shapley values [PDF]
International Journal of Game Theory, 1987 Nonsymmetric Shapley values for coalitional form games with transferable utility are studied. The nonsymmetries are modeled through nonsymmetric weight systems defined on the players of the games. It is shown axiomatically that two families of solutions of this type are possible.
Ehud Kalai, Dov Samet
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Some Properties of Interval Shapley Values: An Axiomatic Analysis
Games, 2023 Interval games are an extension of cooperative coalitional games, in which players are assumed to face payoff uncertainty. Characteristic functions thus assign a closed interval instead of a real number.
Shinichi Ishihara, Junnosuke Shino
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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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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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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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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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2022 ACM Conference on Fairness Accountability and Transparency, 2022 To be presented at the 2022 ACM FAccT ...
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Model independent feature attributions: Shapley values that uncover non-linear dependencies [PDF]
PeerJ Computer Science, 2021 Shapley values have become increasingly popular in the machine learning literature, thanks to their attractive axiomatisation, flexibility, and uniqueness in satisfying certain notions of ‘fairness’. The flexibility arises from the myriad potential forms
Daniel Vidali Fryer +2 more
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ON MERGE PROPERTIES OF THE SHAPLEY VALUE [PDF]
International Game Theory Review, 2000 Given a transferable utility game, where the players merge into subgroups described by a partition, we address the following question: under which conditions on the characteristic function and partition, merging is beneficial if the Shapley value is applied. Our results can be positioned among the search for well-defined classes of games where merging
Jean Derks, Stef Tijs
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