Universität zu Köln

Faigle, Ulrich, Grabisch, Michel, Jimenez-Losada, Andres ORCID: 0000-0002-7571-1240 and Ordonez, Manuel ORCID: 0000-0002-9804-3097 (2016). Games on concept lattices: Shapley value and core. Discret Appl. Math., 198. S. 29 - 48. AMSTERDAM: ELSEVIER. ISSN 1872-6771

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Abstract

We introduce cooperative TU-games on concept lattices, where a concept is a pair (S, S') with S being a subset of players or objects, and S' a subset of attributes. Any such game induces a game on the set of players/objects, which appears to be a TU-game whose collection of feasible coalitions is a lattice closed under intersection, and a game on the set of attributes. We propose a Shapley value for each type of game, axiomatize it, and investigate the geometrical properties of the core (non-emptiness, boundedness, pointedness, extremal rays). In particular, we derive the equivalence of the intent and extent core for the class of distributive concepts. (C) 2015 Elsevier B.V. All rights reserved.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Faigle, Ulrich UNSPECIFIED UNSPECIFIED UNSPECIFIED Grabisch, Michel UNSPECIFIED UNSPECIFIED UNSPECIFIED Jimenez-Losada, Andres UNSPECIFIED orcid.org/0000-0002-7571-1240 UNSPECIFIED Ordonez, Manuel UNSPECIFIED orcid.org/0000-0002-9804-3097 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-287529
DOI:	10.1016/j.dam.2015.08.004
Journal or Publication Title:	Discret Appl. Math.
Volume:	198
Page Range:	S. 29 - 48
Date:	2016
Publisher:	ELSEVIER
Place of Publication:	AMSTERDAM
ISSN:	1872-6771
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language COOPERATIVE GAMES Multiple languages Mathematics, Applied Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/28752