Scandinavian Working Papers in Economics

Working Papers,
Lund University, Department of Economics

No 2014:44: Overlapping Multiple Assignments

Jörgen Kratz ()
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Jörgen Kratz: Department of Economics, Lund University, Postal: Department of Economics, School of Economics and Management, Lund University, Box 7082, S-220 07 Lund, Sweden

Abstract: This paper studies an allocation problem with multiple assignments, indivisible objects, no endowments and no monetary transfers, where a single object may be assigned to several agents as long as the set of agents assigned the object satisfy a compatibility constraint. It is shown that, on the domain of complete, transitive and strict preferences, group-sorting sequential dictatorships are fully characterized by four different combinations of coalitional strategyproofness, strategyproofness, Pareto efficiency, non-bossiness, group-monotonicity and group-invariance. It is also demonstrated that the characterization in Pápai (2001) of sequential dictatorships for the case where assignments are not allowed to overlap is contained in the main result.

Keywords: Multiple assignments; overlapping assignments; sequential dictatorship; strategyproofness; compatibility

JEL-codes: D61; D63; D71

31 pages, December 22, 2014

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