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The Shapley Value

2015
In Chap. 16 set-valued solution concepts for games with transferable utilities were studied: the imputation set, core, domination core, and stable sets. In this chapter, a one-point (single-valued) solution concept is discussed: the Shapley value. It may again be helpful to first study the relevant parts of Chaps. 1 and 9.
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Fuzzy Shapley Value

2001
It is evident that the vagueness of coalitional pay-offs implies also the vagueness of such concept like the vector of Shapley values. Its formal reformulation into the language of fuzzy coalition game theory appears to be obvious and purely mechanical. Anyhow, it is worth some closer attention.
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P-Shapley: Shapley Values on Probabilistic Classifiers

Proceedings of the VLDB Endowment
The Shapley value provides a unique approach to equitably gauge each player's contribution within a coalition and has extensive applications with various utility functions. In data valuation for machine learning, particularly for classification tasks, using classification accuracy as the utility function has become a de facto standard.
Haocheng Xia   +5 more
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The Shapley Value

2012
In fuzzy Multi-criteria decision-making problems, the ranking of alternatives must take into account their fuzzy scores in all criteria, the weights assigned to each decision criterion, the possible difficulties of comparing two alternatives when one is significantly better than the other on a subset of criteria, but much worse on at least one ...
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The Shapley Value

1988
Composed in honour of the sixty-fifth birthday of Lloyd Shapley, this volume makes accessible the large body of work that has grown out of Shapley's seminal 1953 paper. Each of the twenty essays concerns some aspect of the Shapley value. Three of the chapters are reprints of the 'ancestral' papers: Chapter 2 is Shapley's original 1953 paper defining ...
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Power and the Shapley Value

2019
This chapter reviews some results from the literature in which power indices related to the Shapley value are developed. First, a class of power indices for so-called effectivity functions is axiomatically characterized, based on [1]. An effectivity function describes for each coalition of players each set of alternatives such that the coalition can ...
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Algorithms to estimate Shapley value feature attributions

Nature Machine Intelligence, 2023
Hugh Chen, Su-In Lee
exaly  

Shapley value

2010
Steven N. Durlauf, Lawrence E. Blume
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