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A note on the McKelvey uncovered set and Pareto optimality

Abstract:
We consider the notion of Pareto optimality under the assumption that only the pairwise majority relation is known and show that the set of necessarily Pareto optimal alternatives coincides with the McKelvey uncovered set. As a consequence, the McKelvey uncovered set constitutes the coarsest Pareto optimal majoritarian social choice function. Moreover, every majority relation is induced by a preference profile in which the uncovered alternatives precisely coincide with the Pareto optimal ones. We furthermore discuss the structure of the McKelvey covering relation and the McKelvey uncovered set
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s00355-015-0904-5

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author


Publisher:
Springer Verlag
Journal:
Social Choice and Welfare More from this journal
Volume:
46
Issue:
1
Pages:
81-91
Publication date:
2015-08-11
Acceptance date:
2015-07-08
DOI:
EISSN:
1432-217X
ISSN:
0176-1714


Pubs id:
pubs:591893
UUID:
uuid:704ae0b2-0bf3-4205-bbf2-65155a51f5d8
Local pid:
pubs:591893
Source identifiers:
591893
Deposit date:
2016-01-20

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