Existence of the core in a heterogeneous divisible commodity exchange economy
type: Item
instance of: scholarly article
title: Existence of the core in a heterogeneous divisible commodity exchange economy
zbMATH Open document ID: 1156.91025
author: Farhad Hüsseinov
published in: International Journal of Game Theory
publication date: 2008-11-25T00:00:00Z
full work available at URL: http://hdl.handle.net/11693/22976
review text: The author considers a pure exchange economy of a heterogeneous divisible commodity modelled as a measurable space \((X, \Sigma)\). There are \(n\) persons having shares \(B_i\) (\(i=1,\dots,n\)) of \(X\), and the shares are valued according to individuals' finite vector measures \(\mu_i\). The components of vectors \(\mu_i(B_i)\) are measures of different attributes of \(B_i\). Individual \(i\) has a preference \(\succ_i\) over his profiles \(\mu_i(B)\), \(B\in\Sigma\). The existence of a weak core in the corresponding \(n\)-persons game is proved under assumption of rationality, continuity and convexity of the preferences. Further, a core exists if the measures are mutually absolutely continuous.
reviewed by: Vladimir Gorbunov
Mathematics Subject Classification ID: 91B52
Mathematics Subject Classification ID: 91A06
Mathematics Subject Classification ID: 91A12
Mathematics Subject Classification ID: 91B60
zbMATH DE Number: 5373429
zbMATH Keywords: measurable space exchange economy
zbMATH Keywords: \(n\)-persons game
zbMATH Keywords: core
zbMATH Keywords: weak core
MaRDI profile type: Publication
OpenAlex ID: W2049849451
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DOI: 10.1007/S00182-008-0124-7
description: scientific article; zbMATH DE number 5373429