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k-Majority digraphs and the hardness of voting with a constant number of voters

Abstract:

Many hardness results in computational social choice use the fact that every digraph may be induced as the pairwise majority relation of some preference profile. The standard construction requires a number of voters that is almost linear in the number of alternatives and it is unclear whether hardness holds when the number of voters is bounded. In this paper, we systematically study majority digraphs inducible by a constant number of voters. First, we characterize digraphs inducible by two or...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.jcss.2019.04.005

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Institution:
University of Oxford
Department:
Computer Science
Role:
Author
Publisher:
Elsevier
Journal:
Journal of Computer and System Sciences More from this journal
Volume:
105
Issue:
November 2019
Pages:
130-157
Publication date:
2019-05-09
Acceptance date:
2019-04-19
DOI:
EISSN:
1090-2724
ISSN:
0022-0000
Language:
English
Keywords:
Pubs id:
pubs:1004423
UUID:
uuid:598a8c09-7dd5-4a39-86c9-c31e5ba84ec2
Local pid:
pubs:1004423
Source identifiers:
1004423
Deposit date:
2019-08-27

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