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Authors: José Giménez and María Puente

Affiliation: Department of Mathematics and Engineering School of Manresa, Technical University of Catalonia and Spain

ISBN: 978-989-758-352-0

Keyword(s): Cooperative Game, Shapley Value, Banzhaf Value, Coalition Structure, Multilinear Extension.

Related Ontology Subjects/Areas/Topics: Game Theory ; Methodologies and Technologies ; Operational Research

Abstract: This work focuses on the Owen value and the Owen-Banzhaf value, two classical concepts of solution defined on games with structure of coalition blocks. We provide a computation procedure for these solutions based on a method of double-level work obtained from the multilinear extension of the original game. Moreover, two applications to several possible political situations in the Madrid Assembly and the Andalusian Parliament (legislatures 2015-2019) are also given.

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Paper citation in several formats:
Giménez, J. and Puente, M. (2019). The Owen and the Owen-Banzhaf Values Applied to the Study of the Madrid Assembly and the Andalusian Parliament in Legislature 2015-2019.In Proceedings of the 8th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES, ISBN 978-989-758-352-0, pages 45-52. DOI: 10.5220/0007297000450052

@conference{icores19,
author={José Miguel Giménez. and María Albina Puente.},
title={The Owen and the Owen-Banzhaf Values Applied to the Study of the Madrid Assembly and the Andalusian Parliament in Legislature 2015-2019},
booktitle={Proceedings of the 8th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,},
year={2019},
pages={45-52},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0007297000450052},
isbn={978-989-758-352-0},
}

TY - CONF

JO - Proceedings of the 8th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,
TI - The Owen and the Owen-Banzhaf Values Applied to the Study of the Madrid Assembly and the Andalusian Parliament in Legislature 2015-2019
SN - 978-989-758-352-0
AU - Giménez, J.
AU - Puente, M.
PY - 2019
SP - 45
EP - 52
DO - 10.5220/0007297000450052

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