Coalitional Power Indices Applied to Voting Systems

Xavier Molinero; Joan Blasco

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Paper

Coalitional Power Indices Applied to Voting Systems

Topics: Decision Support Systems; Game Theory

In Proceedings of the 9th International Conference on Operations Research and Enterprise Systems ICORES - Volume 1, 372-376, 2020 , Valletta, Malta

Authors: Xavier Molinero ¹ and Joan Blasco ²

Affiliations: ¹ Mathematics Department, Universitat Politècnica de Catalunya·BarcelonTech, Barcelona Graduate School of Mathematics, Spain ; ² Barcelona School of Informatics, Universitat Politècnica de Catalunya·BarcelonTech, Spain

Keyword(s): Simple Games, Coalitional Power Indices, Voting Systems.

Abstract: We describe voting mechanisms to study voting systems. The classical power indices applied to simple games just consider parties, players or voters. Here, we also consider games with a priori unions, i.e., coalitions among parties, players or voters. We measure the power of each party, player or voter when there are coalitions among them. In particular, we study real situations of voting systems using extended Shapley–Shubik and Banzhaf indices, the so-called coalitional power indices. We also introduce a dynamic programming to compute them.

CC BY-NC-ND 4.0

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Paper citation in several formats:

Molinero, X. and Blasco, J. (2020). Coalitional Power Indices Applied to Voting Systems. In Proceedings of the 9th International Conference on Operations Research and Enterprise Systems - ICORES; ISBN 978-989-758-396-4; ISSN 2184-4372, SciTePress, pages 372-376. DOI: 10.5220/0009166803720376

@conference{icores20,
author={Xavier Molinero. and Joan Blasco.},
title={Coalitional Power Indices Applied to Voting Systems},
booktitle={Proceedings of the 9th International Conference on Operations Research and Enterprise Systems - ICORES},
year={2020},
pages={372-376},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0009166803720376},
isbn={978-989-758-396-4},
issn={2184-4372},
}

TY - CONF

JO - Proceedings of the 9th International Conference on Operations Research and Enterprise Systems - ICORES
TI - Coalitional Power Indices Applied to Voting Systems
SN - 978-989-758-396-4
IS - 2184-4372
AU - Molinero, X.
AU - Blasco, J.
PY - 2020
SP - 372
EP - 376
DO - 10.5220/0009166803720376
PB - SciTePress