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Axiomatizations of a Class of Equal Surplus Sharing Solutions for TU-Games
Theory and Decision 67 (3):303-340 (2009)
Abstract
A situation, in which a finite set of players can obtain certain payoffs by cooperation can be described by a cooperative game with transferable utility, or simply a TU-game. A (point-valued) solution for TU-games assigns a payoff distribution to every TU-game. In this article we discuss a class of equal surplus sharing solutions consisting of all convex combinations of the CIS-value, the ENSC-value and the equal division solution. We provide several characterizations of this class of solutions on variable and fixed player set. Specifications of several properties characterize specific solutions in this class.My notes
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Citations of this work
Consistency, population solidarity, and egalitarian solutions for TU-games.René van den Brink, Youngsub Chun, Yukihiko Funaki & Boram Park - 2016 - Theory and Decision 81 (3):427-447.
Nullified equal loss property and equal division values.Sylvain Ferrières - 2017 - Theory and Decision 83 (3):385-406.
Coalitional desirability and the equal division value.Sylvain Béal, Eric Rémila & Philippe Solal - 2019 - Theory and Decision 86 (1):95-106.
Redistribution to the less productive: parallel characterizations of the egalitarian Shapley and consensus values.Koji Yokote, Takumi Kongo & Yukihiko Funaki - 2020 - Theory and Decision 91 (1):81-98.
Sharing the surplus and proportional values.Yukihiko Funaki, René van den Brink & Zhengxing Zou - 2021 - Theory and Decision 93 (1):185-217.
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