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- W3215512069 abstract "We study the random assignment of indivisible objects among a set of agents with strict preferences. We show that there exists no mechanism which is unanimous, strategy-proof and envy-free. Weakening the first requirement to q-unanimity – i.e., when every agent ranks a different object at the top, then each agent shall receive his most-preferred object with probability of at least q – we show that a mechanism satisfying strategy-proofness, envy-freeness and ex-post weak non-wastefulness can be q-unanimous only for q≤2n (where n is the number of agents). To demonstrate that this bound is tight, we introduce a new mechanism, Random-Dictatorship-cum-Equal-Division (RDcED), and show that it achieves this maximal bound when all objects are acceptable. In addition, for three agents, RDcED is characterized by the first three properties and ex-post weak efficiency. If objects may be unacceptable, strategy-proofness and envy-freeness are jointly incompatible even with ex-post weak non-wastefulness." @default.
- W3215512069 created "2021-12-06" @default.
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- W3215512069 date "2023-04-01" @default.
- W3215512069 modified "2023-10-16" @default.
- W3215512069 title "Strategy-proof and envy-free random assignment" @default.
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- W3215512069 doi "https://doi.org/10.1016/j.jet.2023.105618" @default.
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