On generating functions to compute some power measures for weighted majority games.
Saved in:
| Title: | On generating functions to compute some power measures for weighted majority games. |
|---|---|
| Authors: | Armijos-Toro, L. M.1,2,3 (AUTHOR) livinomanuel.armijos@rai.usc.es, Alonso-Meijide, J. M.3,4 (AUTHOR) josemaria.alonso@usc.es, Mosquera, M. A.3,5 (AUTHOR) mamrguez@uvigo.gal, Saavedra-Nieves, A.1,3 (AUTHOR) alejandro.saavedra.nieves@usc.es |
| Source: | Annals of Operations Research. Jan2026, Vol. 356 Issue 1, p31-53. 23p. |
| Subjects: | Generating functions, Cooperative game theory, Quantitative research |
| Abstract: | In this paper we introduce new procedures, based on generating functions, for calculating some power measures for weighted majority games. In particular, we present methods for computing the Johnston index and the Colomer–Martínez measure. Besides, we introduce a new power measure that combines the principles underlying the Johnston index and Colomer–Martínez measure as well as a procedure for computing it using generating functions. Finally, we introduce the new R package powerindexR and describe its capabilities to compute some power measures by means of generating functions. We illustrate its performance with a real example. [ABSTRACT FROM AUTHOR] |
| Copyright of Annals of Operations Research is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
|
Full text is not displayed to guests.
Login for full access.
|
|
| FullText | Links: – Type: pdflink Text: Availability: 1 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 190856542 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: On generating functions to compute some power measures for weighted majority games. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Armijos-Toro%2C+L%2E+M%2E%22">Armijos-Toro, L. M.</searchLink><relatesTo>1,2,3</relatesTo> (AUTHOR)<i> livinomanuel.armijos@rai.usc.es</i><br /><searchLink fieldCode="AR" term="%22Alonso-Meijide%2C+J%2E+M%2E%22">Alonso-Meijide, J. M.</searchLink><relatesTo>3,4</relatesTo> (AUTHOR)<i> josemaria.alonso@usc.es</i><br /><searchLink fieldCode="AR" term="%22Mosquera%2C+M%2E+A%2E%22">Mosquera, M. A.</searchLink><relatesTo>3,5</relatesTo> (AUTHOR)<i> mamrguez@uvigo.gal</i><br /><searchLink fieldCode="AR" term="%22Saavedra-Nieves%2C+A%2E%22">Saavedra-Nieves, A.</searchLink><relatesTo>1,3</relatesTo> (AUTHOR)<i> alejandro.saavedra.nieves@usc.es</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Annals+of+Operations+Research%22">Annals of Operations Research</searchLink>. Jan2026, Vol. 356 Issue 1, p31-53. 23p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Generating+functions%22">Generating functions</searchLink><br /><searchLink fieldCode="DE" term="%22Cooperative+game+theory%22">Cooperative game theory</searchLink><br /><searchLink fieldCode="DE" term="%22Quantitative+research%22">Quantitative research</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this paper we introduce new procedures, based on generating functions, for calculating some power measures for weighted majority games. In particular, we present methods for computing the Johnston index and the Colomer–Martínez measure. Besides, we introduce a new power measure that combines the principles underlying the Johnston index and Colomer–Martínez measure as well as a procedure for computing it using generating functions. Finally, we introduce the new R package powerindexR and describe its capabilities to compute some power measures by means of generating functions. We illustrate its performance with a real example. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Annals of Operations Research is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=190856542 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s10479-024-06191-2 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 23 StartPage: 31 Subjects: – SubjectFull: Generating functions Type: general – SubjectFull: Cooperative game theory Type: general – SubjectFull: Quantitative research Type: general Titles: – TitleFull: On generating functions to compute some power measures for weighted majority games. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Armijos-Toro, L. M. – PersonEntity: Name: NameFull: Alonso-Meijide, J. M. – PersonEntity: Name: NameFull: Mosquera, M. A. – PersonEntity: Name: NameFull: Saavedra-Nieves, A. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: Jan2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 02545330 Numbering: – Type: volume Value: 356 – Type: issue Value: 1 Titles: – TitleFull: Annals of Operations Research Type: main |
| ResultId | 1 |
