Conference structures and consistency
type: Item
instance of: scholarly article
title: Conference structures and consistency
zbMATH Open document ID: 1185.94006
author: M. J. Albizuri
author: José M. Zarzuelo
published in: Discrete Mathematics
publication date: 2009-12-15T00:00:00Z
review text: The consistency propriety for allocation rules when communication is given by a conference structure is studied. Consistency means that a rule should be invariant when considered by a subgroup of individuals. This property is often used in cooperative game theory to characterize rules. In this paper an alternative characterization of the Myerson rule by means of consistency is also given. Both, the reduced game and the reduced conference structure in order to study consistency for allocation rules are defined. A potential as in the case of the Shapley value in Hart and Mas-Colell is also defined. Moreover, the study of this paper is also valid for the particular case of communication graph situations.
reviewed by: Eleonor Ciurea
Mathematics Subject Classification ID: 94A05
Mathematics Subject Classification ID: 68M10
Mathematics Subject Classification ID: 90B18
Mathematics Subject Classification ID: 91A12
Mathematics Subject Classification ID: 03E35
zbMATH DE Number: 5648037
zbMATH Keywords: conference structure
zbMATH Keywords: consistency propriety
zbMATH Keywords: allocation rules
zbMATH Keywords: communication graph
zbMATH Keywords: cooperative games
MaRDI profile type: Publication
full work available at URL: j.disc.2009.02.034
OpenAlex ID: W2045580721
cites work: A value with incomplete communication
cites work: Potential, Value, and Consistency
cites work: Graphs and Cooperation in Games
cites work: Conference structures and fair allocation rules
cites work: Allocation rules for hypergraph communication situations
DOI: 10.1016/J.DISC.2009.02.034
description: scientific article; zbMATH DE number 5648037