dc.contributor
Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor
Universitat Politècnica de Catalunya. GRTJ - Grup de Recerca en Teoria de Jocs
dc.contributor.author
Freixas Bosch, Josep
dc.contributor.author
Lucchetti, Roberto
dc.date.issued
2016-02-09
dc.identifier
Freixas, J., Lucchetti, R. Power in voting rules with abstention: an axiomatization of a two components power index. "Annals of operations research", 09 Febrer 2016, p. 1-20.
dc.identifier
https://hdl.handle.net/2117/84162
dc.identifier
10.1007/s10479-016-2124-5
dc.description.abstract
The final publication is available at Springer via http://dx.doi.org/10.1007/s10479-016-2124-5
dc.description.abstract
In order to study voting situations when voters can also abstain and the output is binary, i.e., either approval or rejection, a new extended model of voting rule was defined. Accordingly, indices of power, in particular Banzhaf’s index, were considered. In this paper we argue that in this context a power index should be a pair of real numbers, since this better highlights the power of a voter in two different cases, i.e., her being crucial when switching from being in favor to abstain, and from abstain to be contrary. We also provide an axiomatization for both indices, and from this a characterization as well of the standard Banzhaf index (the sum of the former two) is obtained. Some examples are provided to show how the indices behave.
dc.description.abstract
Peer Reviewed
dc.description.abstract
Postprint (author's final draft)
dc.format
application/pdf
dc.subject
Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Teoria de jocs
dc.subject
Decision making -- Mathematical models
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Voting -- Mathematical models
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Voting -- Abstention
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Decision making process
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Voting systems in democratic organizations
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Jocs, Teoria de
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Decisió, Presa de -- Models matemàtics
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Vot -- Models matemàtics
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Abstencionisme electoral
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Classificació AMS::05 Combinatorics::05C Graph theory
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Classificació AMS::90 Operations research, mathematical programming::90B Operations research and management science
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Classificació AMS::94 Information And Communication, Circuits::94C Circuits, networks
dc.title
Power in voting rules with abstention: an axiomatization of a two components power index
