The core of discontinuous games
type: Item
instance of: scholarly article
title: The core of discontinuous games
zbMATH Open document ID: 0774.90097
DOI: 10.1007/BF01245569
published in: International Journal of Game Theory
publication date: 1993-08-29T00:00:00Z
review text: Cooperative games with lexicographic, i.e. discontinuous preferences in which agents implement tie breaking procedures are investigated. The main results concern a condition for the non-emptiness of the core in such games. In the case of transferable utility the balancedness is necessary and sufficient for the existence of a non-empty core. In the non- transferable utility case even balanced games with discontinuous utility may have an empty core and the balancedness has to be completed by other properties to be sufficient for the existence of a non-empty core.
Mathematics Subject Classification ID: 91A12
zbMATH DE Number: 399314
zbMATH Keywords: discontinuous preferences
zbMATH Keywords: tie breaking procedures
zbMATH Keywords: non-emptiness of the core
zbMATH Keywords: balancedness
zbMATH Keywords: discontinuous utility
author: V. W. Kolpin
reviewed by: Milan Mareš
MaRDI profile type: Publication
cites work: Some theorems on the core of ann-Game without Side-Payments
cites work: Q4708452
cites work: A Study of Lexicographic Expected Utility
cites work: Nontransitive preferences in decision theory
cites work: The Core of an N Person Game
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description: scientific article; zbMATH DE number 399314