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Pareto optimality in coalition formation

Abstract:
A minimal requirement on allocative efficiency in the social sciences is Pareto optimality. In this paper, we identify a close structural connection between Pareto optimality and perfection that has various algorithmic consequences for coalition formation. Based on this insight, we formulate the Preference Refinement Algorithm (PRA) which computes an individually rational and Pareto optimal outcome in hedonic coalition formation games. Our approach also leads to various results for specific classes of hedonic games. In particular, we show that computing and verifying Pareto optimal partitions in general hedonic games, anonymous games, three-cyclic games, room-roommate games and B-hedonic games is intractable while both problems are tractable for roommate games, W-hedonic games, and house allocation with existing tenants.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.geb.2013.08.006

Authors


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


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Grant:
BR-2312/6-1
BR 2312/7-1
BR 2312/9-1


Publisher:
Elsevier
Journal:
Games and Economic Behavior More from this journal
Volume:
82
Pages:
562-581
Publication date:
2013-09-03
DOI:
ISSN:
0899-8256


Keywords:
Pubs id:
pubs:591933
UUID:
uuid:3a91def3-1c6e-4898-b5bb-7b8c6457da51
Local pid:
pubs:591933
Source identifiers:
591933
Deposit date:
2016-01-20

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