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- W3174448420 abstract "For object reallocation problems, if preferences are strict but otherwise unrestricted, the Top Trading Cycle (TTC) is the leading rule: It is the only satisfying efficiency, the endowment lower bound, and strategy-proofness; moreover, TTC coincides with the core. However, on the subdomain of single-peaked preferences, Bade (2019a) defines a new rule, the crawler, which also satisfies the first three properties. Our first theorem states that the crawler and a naturally defined dual are actually the same. Next, for object allocation problems, we define a probabilistic version of the crawler by choosing an endowment profile at according to a uniform distribution, and applying the original definition. Our second theorem states that this is the same as the random priority rule which, as proved by Knuth (1996) and Abdulkadiroglu and Sonmez (1998), is equivalent to the core from endowments." @default.
- W3174448420 created "2021-07-05" @default.
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- W3174448420 date "2019-01-01" @default.
- W3174448420 modified "2023-09-27" @default.
- W3174448420 title "The Crawler: Two Equivalence Results for Object (Re)allocation Problems when Preferences Are Single-peaked" @default.
- W3174448420 hasPublicationYear "2019" @default.
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