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The Owen and the Owen-Banzhaf values applied to the study of the Madrid Assembly and the Andalusian Parliament in legislature 2015-2019

Author
Gimenez, J.; Puente, M.
Type of activity
Presentation of work at congresses
Name of edition
8th International Conference on Operations Research and Enterprise Systems
Date of publication
2019
Presentation's date
2019-02-20
Book of congress proceedings
Proceedings of the 8th International Conference on Operations Research and Enterprise Systems, Volume 1: ICORES, 45-52, 2019, Prague, Czech Republic
First page
45
Last page
52
Publisher
Scitepress
DOI
10.5220/0007297000450052
Repository
http://hdl.handle.net/2117/131879 Open in new window
URL
http://www.scitepress.org/PublicationsDetail.aspx?ID=bn9a/6ul4NM=&t=1 Open in new window
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.
Citation
Gimenez, J.; Puente, M. The Owen and the Owen-Banzhaf values applied to the study of the Madrid Assembly and the Andalusian Parliament in legislature 2015-2019. A: 8th International Conference on Operations Research and Enterprise Systems. "Proceedings of the 8th International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES, 45-52, 2019, Prague, Czech Republic". Setúbal: Scitepress, 2019, p. 45-52.
Keywords
Banzhaf value, Coalition structure, Cooperative game, Multilinear extension, Shapley value
Group of research
GRTJ - Game Theory Research Group

Participants

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