The shapley value for games on matroids: the dynamic model
type: Item
instance of: scholarly article
title: The shapley value for games on matroids: the dynamic model
zbMATH Open document ID: 1071.91005
author: E. Lebrón
author: Jésus Mario Bilbao
author: Theo S. H. Driessen
author: A. Jiménez-Losada
published in: Mathematical Methods of Operations Research
publication date: 2003-07-14T00:00:00Z
review text: In a previous article [ibid. 53, 333--348 (2001; Zbl 1062.91014)], the authors have defined a static Shapley value, which is a Shapley value of a cooperative game with a coalition structure given by a matroid. In the present paper they define a dynamic Shapley value depending on some type of recursive sequence of static models on a matroid. The authors prove that this dynamic value is the unique value satisfying axioms analogously to the classical Shapley value.
reviewed by: Walter Schlee
Mathematics Subject Classification ID: 91A12
zbMATH DE Number: 1949084
zbMATH Keywords: Shapley value
zbMATH Keywords: cooperative game
zbMATH Keywords: matroid
MaRDI profile type: Publication
full work available at URL: s001860200213
OpenAlex ID: W2078560532
DOI: 10.1007/S001860200213
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description: scientific article; zbMATH DE number 1949084