The core of a class of non-atomic games which arise in economic applications
type: Item
instance of: scholarly article
title: The core of a class of non-atomic games which arise in economic applications
zbMATH Open document ID: 0960.91010
author: Ezra Einy
author: Diego Moreno
author: Benyamin Shitovitz
published in: International Journal of Game Theory
publication date: 2001-05-11T00:00:00Z
full work available at URL: http://hdl.handle.net/10016/4221
review text: The authors study cooperative games \(v\) with infinite many players \(T\) and a \(\sigma\)-field \(\Sigma\) of coalitions. It is assumed that the characteristic function \(v\) is a non-atomic measure which fulfills some continuity conditions with respect to the appropriate topology of the set of bounded countably additive non-atomic measures on \((T,\Sigma)\). The main results concern the non-emptiness of the core in the case of concavity of the continuous extension \(\bar{v}\). Moreover representation theorems for the core are given. The results are illustrated by well-known market game examples from the literature.
reviewed by: Walter Schlee
Mathematics Subject Classification ID: 91A12
Mathematics Subject Classification ID: 91A07
zbMATH DE Number: 1309798
zbMATH Keywords: coalitional game
zbMATH Keywords: core
zbMATH Keywords: infinitely many players
zbMATH Keywords: non-atomic games
zbMATH Keywords: market games
MaRDI profile type: Publication
OpenAlex ID: W2073332375
DOI: 10.1007/S001820050094
description: scientific article; zbMATH DE number 1309798