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Representation-compatible power indices

URN to cite this document: urn:nbn:de:bvb:703-epub-2080-6

Title data

Kaniovski, Serguei ; Kurz, Sascha:
Representation-compatible power indices.
Bayreuth , 2015 . - 28 S.

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Abstract

This paper studies power indices based on average representations of a weighted game. If restricted to account for the lack of power of dummy voters, average representations become coherent measures of voting power, with power distributions being proportional to the distribution of weights in the average representation. This makes these indices representation-compatible, a property not fulfilled by classical power indices. Average representations can be tailored to reveal the equivalence classes of voters defined by the Isbell desirability relation, which leads to a pair of new power indices that ascribes equal power to all members of an equivalence class.

Further data

Item Type: Preprint, postprint
Keywords: average representation; power index; proportionality between weights and power
Subject classification: MSC: 91A12, 91A80
DDC Subjects: 300 Social sciences > 320 Political science
500 Science > 510 Mathematics
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics in Economy
Profile Fields
Profile Fields > Emerging Fields
Profile Fields > Emerging Fields > Governance and Responsibility
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-2080-6
Date Deposited: 26 Jun 2015 11:08
Last Modified: 21 Mar 2019 10:38
URI: https://epub.uni-bayreuth.de/id/eprint/2080

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