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The Art and Beauty of Voting Power

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005935
URN to cite this document: urn:nbn:de:bvb:703-epub-5935-5

Title data

Kurz, Sascha ; Mayer, Alexander ; Napel, Stefan:
The Art and Beauty of Voting Power.
Bayreuth , 2021 . - 19 S.

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Abstract

We exhibit the hidden beauty of weighted voting and voting power by applying a generalization of the Penrose-Banzhaf index to social choice rules. Three players who have multiple votes in a committee decide between three options by plurality rule, Borda's rule, antiplurality rule, or one of the scoring rules in between. A priori influence on outcomes is quantified in terms of how players' probabilities to be pivotal for the committee decision compare to a dictator. The resulting numbers are represented in triangles that map out structurally equivalent voting weights. Their geometry and color variation reflect fundamental differences between voting rules, such as their inclusiveness and transparency.

Further data

Item Type:	Preprint, postprint
Keywords:	weighted voting; weighted committee games; scoring rules; simple voting games; collective choice
Subject classification:	Mathematics Subject Classification Code: 91B12 (91B14) 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 > 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 > 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 > Governance and Responsibility Faculties Faculties > Faculty of Law, Business and Economics Profile Fields Profile Fields > Emerging Fields
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-5935-5
Date Deposited:	13 Jan 2022 07:15
Last Modified:	13 Jan 2022 07:15
URI:	https://epub.uni-bayreuth.de/id/eprint/5935

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The Art and Beauty of Voting Power. (deposited 13 Jan 2022 07:15) [Currently Displayed]
- The Art and Beauty of Voting Power. (deposited 01 Aug 2022 06:55)