Optimal Reallocation under Additive and Ordinal Preferences
Aziz, Haris; Biro, Peter; Lang, Jérôme; Lesca, Julien; Monnot, Jérôme (2016), Optimal Reallocation under Additive and Ordinal Preferences, in Catholijn M. Jonker, Stacy Marsella, John Thangarajah, Karl Tuyls, AAMAS '16 Proceedings of the 2016 International Conference on Autonomous Agents And Multiagent Systems, Singapore, May 9-13, 2016, IFAAMAS, p. 402-410
TypeCommunication / Conférence
External document linkhttp://arxiv.org/abs/1604.01091v1
Book titleAAMAS '16 Proceedings of the 2016 International Conference on Autonomous Agents And Multiagent Systems, Singapore, May 9-13, 2016
Book authorCatholijn M. Jonker, Stacy Marsella, John Thangarajah, Karl Tuyls
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Abstract (EN)Reallocating resources to get mutually beneficial outcomes is a fundamental problem in various multi-agent settings. In the first part of the paper we focus on the setting in which agents express additive cardinal utilities over objects. We present computational hardness results as well as polynomial-time algorithms for testing Pareto optimality under different restrictions such as two utility values or lexicographic utilities. In the second part of the paper we assume that agents express only their (ordinal) preferences over single objects, and that their preferences are additively separable. In this setting, we present characterizations and polynomial-time algorithms for possible and necessary Pareto optimality.
Subjects / KeywordsComputational Social Choice; Indivisible goods; Pareto; Computational Complexity
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Aziz, Haris; Brill, Markus; Fischer, Felix; Harrenstein, Paul; Lang, Jérôme; Seedig, Hans Georg (2015) Article accepté pour publication ou publié