Subcalculus for set functions and cores of TU games.
type: Item
instance of: scholarly article
title: Subcalculus for set functions and cores of TU games.
zbMATH Open document ID: 1061.91002
DOI: 10.1016/S0304-4068(02)00080-0
author: Massimo Marinacci
author: Luigi Montrucchio
published in: Journal of Mathematical Economics
publication date: 2003-06-25T00:00:00Z
review text: Let \((N, v)\) be a measure game in the sense of Aumann and Shapley (1974). This paper establishes a simple but elegant characterization of the core of \((N, v)\), \(\text{core}(v)\), in terms of the superdifferential of \(v\), \(\partial v\): \(\text{core}(v)= \partial v(E)\sqcap\partial v(E^c)\), for any linear set \(E\). Further conditions are given which guarantee the nonemptiness of the core and which guarantee that the core is a singleton.
Mathematics Subject Classification ID: 91A12
zbMATH DE Number: 1934826
zbMATH Keywords: cooperative game
zbMATH Keywords: measure game
zbMATH Keywords: transferable utility
zbMATH Keywords: Lyapunov theorem
MaRDI profile type: Publication
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full work available at URL: s0304-4068(02)00080-0
OpenAlex ID: W1992619071
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description: scientific article; zbMATH DE number 1934826