Research output: Contribution to journal › Article › peer-review
Journal | Economic Theory |
---|---|
Date | Accepted/In press - 12 Feb 2016 |
Date | E-pub ahead of print - 26 Feb 2016 |
Date | Published (current) - 1 Mar 2017 |
Issue number | 3 |
Volume | 63 |
Number of pages | 31 |
Pages (from-to) | 723-753 |
Early online date | 26/02/16 |
Original language | English |
This paper studies an allocation problem with multiple object assignments, indivisible objects, no endowments and no monetary transfers. Agents have complete, transitive and strict preferences over bundles of objects. A rule assigns objects to agents. A single object may be assigned to several agents as long as the agents satisfy a compatibility constraint. If no restrictions are imposed on the compatibility structure, there exists no rule that satisfies Pareto efficiency and compatibility-monotonicity. Imposing two restrictions on the compatibility structure, the class of rules called compatibility-sorting sequential dictatorships can be fully characterized by four different combinations of group-strategyproofness, strategyproofness, Pareto efficiency, non-bossiness, compatibility-monotonicity and compatibility-invariance. It is demonstrated that the characterization in Pápai (J Public Econ Theory 3:258–271, 2001) of sequential dictatorships for the case where assignments are not allowed to overlap is contained as a special case of the main result. Finally, some additional properties are considered and an extension of the model introducing capacity constraints is presented.
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