The \(\tau\)-value, the core and semiconvex games
type: Item
instance of: scholarly article
title: The \(\tau\)-value, the core and semiconvex games
zbMATH Open document ID: 0582.90108
DOI: 10.1007/BF01769310
author: Stef Tijs
author: Theo S. H. Driessen
published in: International Journal of Game Theory
publication date: 1985-01-01T00:00:00Z
review text: The notion of ''semiconvex game'' (of n persons, in characteristic function form) is introduced and it is proved that any exact game (in Schmeidler's sense) is semiconvex. Significant properties of Tijs' ''\(\tau\)-value'' \(\tau\) (v) associated with a semiconvex game v are pointed out. Among others: \(\tau\) (v) is contained into the core of v then \(n=4\) and \(\tau\) (v) is exactly the Shapley value when the gap function of v is a non- negative constant.
Mathematics Subject Classification ID: 91A12
zbMATH DE Number: 3932827
zbMATH Keywords: nucleolus
zbMATH Keywords: ''semiconvex game''
zbMATH Keywords: characteristic function form
zbMATH Keywords: exact game
zbMATH Keywords: \(\tau \) -value
zbMATH Keywords: core
zbMATH Keywords: Shapley value
zbMATH Keywords: gap function
reviewed by: Dan Butnariu
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01769310
OpenAlex ID: W1993715405
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description: scientific article; zbMATH DE number 3932827