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- W3128779508 abstract "The classical Stable Roommate problem asks whether it is possible to pair up an even number of agents such that no two non-paired agents prefer to be with each other rather than with their assigned partners. We investigate Stable Roommate with complete (i.e. every agent can be matched with every other agent) or incomplete preferences, with ties (i.e. two agents are considered of equal value to some agent) or without ties. It is known that in general allowing ties makes the problem NP-complete. We provide algorithms for Stable Roommate that are, compared to those in the literature, more efficient when the input preferences are complete and have some structural property, such as being narcissistic, single-peaked, and single-crossing. However, when the preferences are incomplete and have ties, we show that being single-peaked and single-crossing does not reduce the computational complexity—Stable Roommate remains NP-complete." @default.
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- W3128779508 date "2017-01-01" @default.
- W3128779508 modified "2023-09-30" @default.
- W3128779508 title "Stable Roommate with Narcissistic, Single-Peaked, and Single-Crossing Preferences" @default.
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- W3128779508 doi "https://doi.org/10.1007/978-3-319-67504-6_22" @default.
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