Implementation in multidimensional domains with ordinal restrictions

Debasis Mishra, Anup Pramanik () and Souvik Roy
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Souvik Roy: Indian Statistical Institute, New Delhi

Discussion Papers from Indian Statistical Institute, Delhi

Abstract: We consider implementation of a deterministic allocation rule using transfers in quasi-linear private values environments. We show that if the type space is a multidimensional domain satisfying some ordinal restrictions, then an allocation rule is implementable in such a domain if and only if it satisfies a familiar and simple condition called 2-cycle monotonicity. Our ordinal restrictions cover type spaces which are non-convex, e.g., the single peaked domain and its generalizations. We apply our result to show that in the single peaked domain, a local version of 2-cycle monotonicity is necessary and sufficient for implementation and every locally incentive compatible mechanism is incentive compatible.

Keywords: implementation; 2-cycle monotonicity; revenue equivalence; local incentive compatibility (search for similar items in EconPapers)
JEL-codes: D44 D47 D71 D82 D86 (search for similar items in EconPapers)
Pages: 32 pages
Date: 2013-05
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Persistent link: https://EconPapers.repec.org/RePEc:alo:isipdp:13-07

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