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A note on the growth of the dimension in complete simple games

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00004878
URN to cite this document: urn:nbn:de:bvb:703-epub-4878-6

Title data

Kurz, Sascha:
A note on the growth of the dimension in complete simple games.
Bayreuth , 2020 . - 9 S.

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Abstract

The remoteness from a simple game to a weighted game can be measured by the concept of the dimension or the more general Boolean dimension. It is known that both notions can be exponential in the number of voters. For complete simple games it was only recently shown that the dimension can also be exponential. Here we show that this is also the case for complete simple games with two types of voters and for the Boolean dimension of general complete simple games, which was posed as an open problem.

Further data

Item Type: Preprint, postprint
Keywords: complete simple games; weighted games; dimension; Boolean dimension
Subject classification: Mathematics Subject Classification Code: 91B12 (91A12)
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
500 Science > 500 Natural sciences
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 Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics > Chair Mathematical Economics - Univ.-Prof. Dr. Jörg Rambau
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Profile Fields > Emerging Fields
Profile Fields > Emerging Fields > Governance and Responsibility
Faculties
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-4878-6
Date Deposited: 15 Jun 2020 08:12
Last Modified: 15 Jun 2020 08:12
URI: https://epub.uni-bayreuth.de/id/eprint/4878

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