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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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
CreatorsEmailORCIDORCID Put Code
Jimenez-Losada, AndresUNSPECIFIEDorcid.org/0000-0002-7571-1240UNSPECIFIED
Ordonez, ManuelUNSPECIFIEDorcid.org/0000-0002-9804-3097UNSPECIFIED
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: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
COOPERATIVE GAMESMultiple languages
Mathematics, AppliedMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/28752


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