From global to local MDI variable importances for random forests and when they are Shapley values

A Sutera, G Louppe, VA Huynh-Thu… - Advances in …, 2021 - proceedings.neurips.cc
Random forests have been widely used for their ability to provide so-called importance
measures, which give insight at a global (per dataset) level on the relevance of input …

The proportional Shapley value and applications

S Béal, S Ferrières, E Rémila, P Solal - Games and Economic Behavior, 2018 - Elsevier
We study a non linear weighted Shapley value (Shapley, 1953b) for cooperative games with
transferable utility, in which the weights are endogenously given by the players' stand-alone …

Axiomatizations of the proportional Shapley value

M Besner - Theory and Decision, 2019 - Springer
We present new axiomatic characterizations of the proportional Shapley value, a weighted
TU-value with the worths of the singletons as weights. The presented characterizations are …

Axiomatizations of the proportional division value

Z Zou, R van den Brink, Y Chun, Y Funaki - Social Choice and Welfare, 2021 - Springer
We present axiomatic characterizations of the proportional division value for TU-games,
which distributes the worth of the grand coalition in proportion to the stand-alone worths of …

Value dividends, the Harsanyi set and extensions, and the proportional Harsanyi solution

M Besner - International Journal of Game Theory, 2020 - Springer
A new concept for TU-values, called value dividends, is introduced. Similar to Harsanyi
dividends, value dividends are defined recursively and provide new characterizations of …

Group contributions in TU-games: a class of k-lateral Shapley values

S Borkotokey, D Choudhury, L Gogoi… - European Journal of …, 2020 - Elsevier
In this paper we introduce the notion of group contributions in TU-games and propose a new
class of values which we call the class of k-lateral Shapley values. Most of the values for TU …

The Shapley value, the Proper Shapley value, and sharing rules for cooperative ventures

R van den Brink, R Levínský, M Zelený - Operations Research Letters, 2020 - Elsevier
In this note, we discuss two solutions for cooperative transferable utility games, namely the
Shapley value and the Proper Shapley value. We characterize positive Proper Shapley …

Sharing the surplus and proportional values

Z Zou, R van den Brink, Y Funaki - Theory and Decision, 2020 - Springer
We introduce a family of proportional surplus division values for TU-games. Each value first
assigns to each player a compromise between her stand-alone worth and the average stand …

Maximizing the Minimal Satisfaction—Characterizations of Two Proportional Values

W Li, G Xu, H Sun - Mathematics, 2020 - mdpi.com
A class of solutions are introduced by lexicographically minimizing the complaint of
coalitions for cooperative games with transferable utility. Among them, the nucleolus is an …

Characterizations of solutions for cooperative games with transferable utility

W Li - 2022 - research.vu.nl
This thesis focuses on the area of solutions for TU-games, which contains new axiomatic
characterizations of either solutions already studied in the literature or new solutions. The …