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Strategy-proof Allocation of Indivisible Goods when Preferences are Single-peaked

Pinaki Mandal and Souvik Roy

MPRA Paper from University Library of Munich, Germany

Abstract: We consider assignment problems where heterogeneous indivisible goods are to be assigned to individuals so that each individual receives at most one good. Individuals have single-peaked preferences over the goods. In this setting, first we show that there is no strategy-proof, non-bossy, Pareto efficient, and strongly pairwise reallocation-proof assignment rule on a minimally rich single-peaked domain when there are at least three individuals and at least three objects in the market. Next, we characterize all strategy-proof, Pareto efficient, top-envy-proof, non-bossy, and pairwise reallocation-proof assignment rules on a minimally rich single-peaked domain as hierarchical exchange rules. We additionally show that strategy-proofness and non-bossiness together are equivalent to group strategy-proofness on a minimally rich single-peaked domain, and every hierarchical exchange rule satisfies group-wise reallocation-proofness on a minimally rich single-peaked domain.

Keywords: Assignment problem; Single-peaked preferences; Strategy-proofness; Pareto efficiency; Non-bossiness; Top-envy-proofness; Strong reallocation-proofness; Pairwise/group-wise reallocation-proofness (search for similar items in EconPapers)
JEL-codes: C78 D82 (search for similar items in EconPapers)
Date: 2021-01-15
New Economics Papers: this item is included in nep-des and nep-mic
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