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- W4292542888 abstract "We consider stability concepts for random matchings where agents have preferences over objects and objects have priorities for the agents. When matchings are deterministic, the standard stability concept also captures the fairness property of no (justified) envy. When matchings can be random, there are a number of natural stability / fairness concepts that coincide with stability / no envy whenever matchings are deterministic. We formalize known stability concepts for random matchings for a general setting that allows weak preferences and weak priorities, unacceptability, and an unequal number of agents and objects. We then present a clear taxonomy of the stability concepts and identify logical relations between them. Furthermore, we provide no envy / claims interpretations for some of the stability concepts that are based on a consumption process interpretation of random matchings. Finally, we present a transformation from the most general setting to the most restricted setting, and show how almost all our stability concepts are preserved by that transformation." @default.
- W4292542888 created "2022-08-22" @default.
- W4292542888 creator A5005373611 @default.
- W4292542888 creator A5044987618 @default.
- W4292542888 date "2017-07-05" @default.
- W4292542888 modified "2023-09-24" @default.
- W4292542888 title "Random Matching under Priorities: Stability and No Envy Concepts" @default.
- W4292542888 doi "https://doi.org/10.48550/arxiv.1707.01231" @default.
- W4292542888 hasPublicationYear "2017" @default.
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