Repositorio de producción científica de la Universidad de Sevilla

Games on concept lattices: Shapley value and core

 

Advanced Search
 
Opened Access Games on concept lattices: Shapley value and core
Cites

Show item statistics
Icon
Export to
Author: Faigle, Ulrich
Grabisch, Michel
Jiménez Losada, Andrés
Ordoñez Sánchez, Manuel
Department: Universidad de Sevilla. Departamento de Matemática Aplicada II
Date: 2015
Published in: Documents de Travail du Centre d’Economie de la Sorbonne, 2014 (70)
Document type: info:eu-repo/semantics/report
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 (nonemptiness, boundedness, pointedness, extremal rays).
Cite: Faigle, U., Grabisch, M., Jiménez Losada, A. y Ordoñez Sánchez, M. (2015). Games on concept lattices: Shapley value and core. Documents de Travail du Centre d’Economie de la Sorbonne, 2014 (70)
Size: 250.4Kb
Format: PDF

URI: http://hdl.handle.net/11441/49264

DOI: 10.1016/j.dam.2015.08.004

See editor´s version

This work is under a Creative Commons License: 
Attribution-NonCommercial-NoDerivatives 4.0 Internacional

This item appears in the following Collection(s)