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Weighted Committee Games

URN to cite this document: urn:nbn:de:bvb:703-epub-3531-6

Title data

Kurz, Sascha ; Mayer, Alexander ; Napel, Stefan:
Weighted Committee Games.
Bayreuth , 2017 . - 38 S.

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Abstract

Weighted committee games generalize n-player simple voting games to m>=3 alternatives. The committee's aggregation rule treats votes anonymously but parties, shareholders, members of supranational organizations, etc. differ in their numbers of votes. Infinitely many vote distributions induce only finitely many distinct mappings from preference profiles to winners, i.e., non-equivalent committees. We identify and compare all committees which use Borda, Copeland, plurality or antiplurality rule. Their geometry and differing numbers of equivalence classes - e.g., 51 for Borda vs. 4 for Copeland rule if n!=m!=3 - have so far escaped notice. They determine voting equilibria, the distribution of power and other aspects of collective choice.

Further data

Item Type:	Preprint, postprint
Keywords:	weighted voting; simple games; social choice; geometry of voting; equivalence classes; Borda rule; Copeland rule; plurality; antiplurality
Subject classification:	Mathematics Subject Classification Code: 91B12 JEL: D71, C71, C63
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 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 Mathematical Economics Faculties > Faculty of Law, Business and Economics Faculties > Faculty of Law, Business and Economics > Department of 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 Profile Fields > Emerging Fields > Governance and Responsibility Profile Fields
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-3531-6
Date Deposited:	14 Dec 2017 08:07
Last Modified:	18 Mar 2019 10:22
URI:	https://epub.uni-bayreuth.de/id/eprint/3531

Available Versions of this Item

Weighted Committee Games. (deposited 14 Dec 2017 08:07) [Currently Displayed]
- Weighted Committee Games. (deposited 04 Nov 2019 08:12)

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