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Fair representation and a linear Shapley rule

Title data

Kurz, Sascha ; Maaser, Nicola ; Napel, Stefan:
Fair representation and a linear Shapley rule.
In: Games and Economic Behavior. Vol. 108 (March 2018) . - pp. 152-161.
ISSN 0899-8256
DOI: https://doi.org/10.1016/j.geb.2017.10.002

Official URL: Volltext

Abstract in another language

When delegations to an assembly or council represent differently sized constituencies, they are often allocated voting weights which increase in population numbers (EU Council, US Electoral College, etc.). The Penrose square root rule (PSRR) is the main benchmark for ‘fair representation’ of all bottom-tier voters in the top-tier decision making body, but rests on the restrictive assumption of independent binary decisions. We consider intervals of alternatives with single-peaked preferences instead, and presume positive correlation of local voters. This calls for a replacement of the PSRR by a linear Shapley rule: representation is fair if the Shapley value of the delegates is proportional to their constituency sizes.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: Shapley value; Institutional design; Two-tier voting; Collective choice; Equal representation; Random order values
Subject classification: Mathematics Subject Classification Code: 91B12 62P20
JEL classification: D02 D63 D70 H77
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics in Economy
Faculties > Faculty of Law, Business and Economics > Department of Economics > Chair Economics IV
Faculties > Faculty of Law, Business and Economics > Department of Economics > Chair Economics IV > Chair Economics IV - Univ.-Prof. Dr. Stefan Napel
Profile Fields > Emerging Fields > Governance and Responsibility
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Law, Business and Economics
Faculties > Faculty of Law, Business and Economics > Department of Economics
Profile Fields
Profile Fields > Emerging Fields
Result of work at the UBT: Yes
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
300 Social sciences > 320 Political science
300 Social sciences > 330 Economics
500 Science > 510 Mathematics
Date Deposited: 24 Jul 2018 08:21
Last Modified: 24 Jul 2018 08:21
URI: https://eref.uni-bayreuth.de/id/eprint/45218