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The Art and Beauty of Voting Power

Title data

Kurz, Sascha ; Mayer, Alexander ; Napel, Stefan:
The Art and Beauty of Voting Power.
Bayreuth , 2022 . - 20 p.
DOI: https://doi.org/10.15495/EPub_UBT_00006568

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Official URL: Volltext

Abstract in another language

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
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
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: 01 Aug 2022 07:00
Last Modified: 01 Aug 2022 07:00
URI: https://eref.uni-bayreuth.de/id/eprint/71290

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