Weighted nucleoli
type: Item
instance of: scholarly article
title: Weighted nucleoli
zbMATH Open document ID: 0960.91011
published in: International Journal of Game Theory
publication date: 2001-04-03T00:00:00Z
review text: The authors consider the concept of weighted nucleolus as a solution concept in a cooperative game. Weighted nucleoli are defined by selecting the unique imputation that lexicographically minimizes the maximal weighted excesses for coalitions which are obtained as coalition specific positive multiples of the ordinary excesses corresponding to an imputation. A solution is said to satisfy the \textit{null player out} property if elimination of a null player does not affect the payoffs of the other players. Weighted nucleoli which have the null player property are characterized. Proofs of many of the results in this paper rely on a condition due to \textit{E. Kohlberg} [SIAM J. Appl. Math. 20, 62-66 (1971; Zbl 0228.90060)].
reviewed by: Srinivas Raghava Mohan
Mathematics Subject Classification ID: 91A12
zbMATH DE Number: 1308992
zbMATH Keywords: cooperative games
zbMATH Keywords: weighted nucleoli
zbMATH Keywords: null player
zbMATH Keywords: Kohlberg condition
author: Jean Derks
author: Hans Haller
MaRDI profile type: Publication
Wikidata QID: Q59868849
full work available at URL: s001820050011
OpenAlex ID: W4251066189
DOI: 10.1007/S001820050011
description: scientific article; zbMATH DE number 1308992