Eiben, E, Ganian, R, Hamm, T et al. (1 more author) (2023) Parameterized Complexity of Envy-Free Resource Allocation in Social Networks. Artificial Intelligence, 315. 103826. ISSN 0004-3702
Abstract
We consider the classical problem of allocating indivisible resources among agents in an envy-free (and, where applicable, proportional) way. Recently, the basic model was enriched by introducing the concept of a social network which allows to capture situations where agents might not have full information about the allocation of all resources. We initiate the study of the parameterized complexity of these resource allocation problems by considering natural parameters which capture structural properties of the network and similarities between agents and resources. In particular, we show that even very general fragments of the considered problems become tractable as long as the social network has constant treewidth or clique-width. We complement our results with matching lower bounds which show that our algorithms cannot be substantially improved.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2022 Published by Elsevier B.V. This is an author produced version of an article, published in Artificial Intelligence. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Resource allocation; Parameterized complexity; Computational social choice; Treewidth; Clique-width |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) |
Funding Information: | Funder Grant number EPSRC (Engineering and Physical Sciences Research Council) EP/V00252X/1 |
Depositing User: | Symplectic Publications |
Date Deposited: | 05 Dec 2022 12:49 |
Last Modified: | 15 Nov 2023 01:13 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.artint.2022.103826 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:193718 |