Logo
Munich Personal RePEc Archive

Weighted Shapley hierarchy levels values

Besner, Manfred (2018): Weighted Shapley hierarchy levels values. Published in: Operations Research Letters , Vol. 47, No. 2 (4 February 2019): pp. 122-126.

This is the latest version of this item.

[thumbnail of MPRA_paper_88369.pdf]
Preview
PDF
MPRA_paper_88369.pdf

Download (331kB) | Preview

Abstract

In this paper we present a new class of values for cooperative games with level structure. We use a multi-step proceeding, suggested first in Owen (1977), applied to the weighted Shapley values. Our first axiomatization is an generalisation of the axiomatization given in Gómez-Rúa and Vidal-Puga (2011), itselves an extension of a special case of an axiomatization given in Myerson (1980) and Hart and Mas-Colell (1989) respectively by efficiency and weighted balanced contributions. The second axiomatization is completely new and extends the axiomatization of the weighted Shapley values introduced in Hart and Mas-Colell (1989) by weighted standardness for two player games and consistency. As a corollary we obtain a new axiomatization of the Shapley levels value.

Available Versions of this Item

Atom RSS 1.0 RSS 2.0

Contact us: mpra@ub.uni-muenchen.de

This repository has been built using EPrints software.

MPRA is a RePEc service hosted by Logo of the University Library LMU Munich.