The shapley value

E Winter - Handbook of game theory with economic applications, 2002 - Elsevier
… literature that generalizes the nofion of the value to … the relation between the Shapley value
and models of non-cooperative bargaining. The chapter concludes with a discussion of the

Variations on the Shapley value

D Monderer, D Samet - Handbook of game theory with economic …, 2002 - Elsevier
… In the second category, we deal with solutions that generalize the Shapley value by
changing the domain over which the solution is defined. In such generalizations the solution is …

On the uniqueness of the Shapley value

P Dubey - International Journal of Game Theory, 1975 - Springer
… In fact this is true for convex cones generated by the class of … the axioms uniquely specify
the Shapley value on P; and if they do not, we can construct different ~b's on P which satisfy the

The shapley value in machine learning

B Rozemberczki, L Watson, P Bayer, HT Yang… - arXiv preprint arXiv …, 2022 - arxiv.org
… of the most important applications of the Shapley value in … We examine the most crucial
limitations of the Shapley value … Finally, we discuss the limitations of the Shapley value and …

The many Shapley values for model explanation

M Sundararajan, A Najmi - International conference on …, 2020 - proceedings.mlr.press
… basis for several methods that attribute the prediction of a … The use of the Shapley value
is justified by citing the uniqueness result from (Shapley, 1953), which shows that it is the only …

Towards efficient data valuation based on the shapley value

R Jia, D Dao, B Wang, FA Hubis… - The 22nd …, 2019 - proceedings.mlr.press
… we study the problem of data valuation by utilizing the Shapley value, a popular notion of value
… We also demonstrate the value of each training instance for various benchmark datasets. …

Algorithms to estimate Shapley value feature attributions

H Chen, IC Covert, SM Lundberg, SI Lee - Nature Machine Intelligence, 2023 - nature.com
… based on the Shapley value as Shapley value explanations. Alongside the definition of the
… approximation algorithms based on different mathematical definitions of the Shapley value, …

Shapley value

S Hart - Game theory, 1989 - Springer
… above, the Shapley value may be understood as the utility of playing the game (Shapley, …
and its mathematical tractability, the Shapley value has been the focus of much research and …

A simple expression for the Shapley value in a special case

SC Littlechild, G Owen - Management science, 1973 - pubsonline.informs.org
… expression for the Shapley value whenever the characteristic function is a “cost” function
with the property that the cost of any subset of players is equal to the cost of the “largest” player …

A linear approximation method for the Shapley value

SS Fatima, M Wooldridge, NR Jennings - Artificial Intelligence, 2008 - Elsevier
… efficiently computing the Shapley value [32]. In more detail, a player’s Shapley value reflects
how much that player contributes to a coalition—that is, how much value the agent adds to a …