Characterizations of the random order values by Harsanyi payoff vectors
type: Item
instance of: scholarly article
title: Characterizations of the random order values by Harsanyi payoff vectors
zbMATH Open document ID: 1107.91016
published in: Mathematical Methods of Operations Research
publication date: 2007-01-05T00:00:00Z
review text: The paper under review deals with one of the solution concepts of cooperative games with transferable utility. The Harsanyi solution of such games is investigated, namely the Harsanyi payoff vector obtained by a distribution of Harsanyi dividents of all coalitions among the players. The attention is focused on the concept of random order values being the convex combinations of the marginal contribution vectors from the Harsanyi set. Two characterizations of the set of all sharing systems of the dividents whose associated Harsanyi payoffs are random order values. The first characterization deals with extreme points of the set of sharing systems, meanwhile the second one shows that a Harsanyi payoff vector is a random order value iff the sharing system is strongly monotonic.
Mathematics Subject Classification ID: 91A12
zbMATH DE Number: 5081912
zbMATH Keywords: TU-games
zbMATH Keywords: Harsanyi set
zbMATH Keywords: Weber set
zbMATH Keywords: Selectope
zbMATH Keywords: Monotonic sharing system
zbMATH Keywords: Dividents
author: Jean Derks
author: Gerard van der Laan
author: Valeriĭ Aleksandrovich Vasil'ev
reviewed by: Milan Mareš
MaRDI profile type: Publication
full work available at URL: s00186-006-0063-7
OpenAlex ID: W1983935643
Wikidata QID: Q59868834
cites work: A new proof for Weber's characterization of the random order values
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cites work: The Harsanyi set for cooperative TU-game
DOI: 10.1007/S00186-006-0063-7
DBLP publication ID: journals/mmor/DerksLV06
description: scientific article; zbMATH DE number 5081912