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Fair Representation and a Linear Shapley Rule

URN to cite this document: urn:nbn:de:bvb:703-epub-3017-2

Title data

Kurz, Sascha ; Maaser, Nicola ; Napel, Stefan:
Fair Representation and a Linear Shapley Rule.
Bayreuth , 2016 . - 20 S.

Format:	PDF
Name:	ShapleyLinearRule.pdf
Version:	Published Version
Available under License	Creative Commons BY 3.0: Attribution

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Abstract

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:	Preprint, postprint
Additional notes (visible to public):	erschienen in: Games and Economic Behavior. Bd. 108 (März 2018) . - S. 152-161. DOI: https://doi.org/10.1016/j.geb.2017.10.002
Keywords:	Shapley value; institutional design; two-tier voting; collective choice; equal representation; random order values
Subject classification:	Mathematics Subject Classification Code: 91B12 62P20
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
Institutions of the University:	Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics Faculties > Faculty of Law, Business and Economics > Department of Economics > Chair Economics IV - Microeconomics Faculties > Faculty of Law, Business and Economics > Department of Economics > Chair Economics IV - Microeconomics > Chair Economics IV - Microeconomics - Univ.-Prof. Dr. Stefan Napel Profile Fields > Emerging Fields > Governance and Responsibility Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Law, Business and Economics Faculties > Faculty of Law, Business and Economics > Department of Economics Profile Fields Profile Fields > Emerging Fields
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-3017-2
Date Deposited:	18 Oct 2016 12:08
Last Modified:	27 May 2021 10:12
URI:	https://epub.uni-bayreuth.de/id/eprint/3017

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