Chen, J., Csáji, G., Roy, S. orcid.org/0000-0003-3633-542X et al. (1 more author) (2023) Hedonic Games With Friends, Enemies, and Neutrals: Resolving Open Questions and Fine-Grained Complexity. In: Proceedings of the International Joint Conference on Autonomous Agents and Multiagent Systems, AAMAS. 2023 International Conference on Autonomous Agents and Multiagent Systems, 29 May - 02 Jun 2023, London, UK. Association for Computing Machinery , pp. 251-259.
Abstract
We investigate verification and existence problems for prominent stability concepts in hedonic games with friends, enemies, and optionally with neutrals [8, 15]. We resolve several (long-standing) open questions [4, 15, 19, 22] and show that for friend-oriented preferences, under the friends and enemies model, it is coNP-complete to verify whether a given agent partition is (strictly) core stable, while under the friends, enemies, and neutrals model, it is NP-complete to determine whether an individual stable partition exists. We further look into natural restricted cases from the literature, such as when the friends and enemies relationships are symmetric, when the initial coalitions have bounded size, when the vertex degree in the friendship graph (resp. the union of friendship and enemy graph) is bounded, or when such graph is acyclic or close to being acyclic. We obtain a complete (parameterized) complexity picture regarding these cases.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Keywords: | Hedonic games; Friends and enemies; Core stable; Nash stable; Individually stable; Parameterized complexity |
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) |
Depositing User: | Symplectic Publications |
Date Deposited: | 14 Feb 2024 15:59 |
Last Modified: | 14 Feb 2024 15:59 |
Published Version: | https://dl.acm.org/doi/abs/10.5555/3545946.3598644 |
Status: | Published |
Publisher: | Association for Computing Machinery |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:209178 |