Weighted weak semivalues
type: Item
instance of: scholarly article
title: Weighted weak semivalues
zbMATH Open document ID: 0960.91012
published in: International Journal of Game Theory
publication date: 2001-05-11T00:00:00Z
review text: When the Shapley value (for \(n\)-person games) is investigated the following axioms are imposed on a solution of the games: linearity, positivity, dummy, symmetry and efficiency. By dropping the axioms efficiency and symmetry we get the class of probabilistic values. In this paper two subclasses of probabilistic values are defined and characterized. By adding the axiom of balanced contributions we obtain the family of weak semivalues. If the axiom of weighted balanced contributions is added we get the family of weighted weak semivalues.
reviewed by: S. Nickel
Mathematics Subject Classification ID: 91A12
Mathematics Subject Classification ID: 91A06
zbMATH DE Number: 1435954
zbMATH Keywords: probabilistic values
zbMATH Keywords: semivalues
zbMATH Keywords: weighted Shapley values
author: Emilio Calvo
author: Juan Carlos Santos
MaRDI profile type: Publication
full work available at URL: s001820050001
OpenAlex ID: W1991120030
DOI: 10.1007/S001820050001
description: scientific article; zbMATH DE number 1435954