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Representation-compatible power indices

Title data

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

Official URL: Volltext

Abstract in another language

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, working paper, discussion paper
Keywords: average representation; power index; proportionality between weights and power
Subject classification: MSC: 91A12, 91A80
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
Result of work at the UBT: Yes
DDC Subjects: 300 Social sciences > 320 Political science
500 Science > 510 Mathematics
Date Deposited: 27 Jun 2015 21:00
Last Modified: 21 Mar 2019 10:39
URI: https://eref.uni-bayreuth.de/id/eprint/15447