Nash Implementation in Private Good Economies with Single-Plateaued Preferences

Ahmed Doghmi () and Abderrahmane Ziad

Economics Working Paper Archive (University of Rennes & University of Caen) from Center for Research in Economics and Management (CREM), University of Rennes, University of Caen and CNRS

Abstract: Abstract: In this paper we explore the problem of Nash implementation providing new sufficient conditions called I-monotonicity and I-weak no-veto power. Firstly, we show that these conditions together with unanimity are sufficient for the implementation of social choice correspondences (SCCs) in Nash equilibria. Secondly, we prove that, in the domain of the private good economies with single-plateaued preferences, a solution of the problem of fair division is Nash implementable if and only if it satisfies Maskin monotonicity. We provide examples of SCCs satisfying or not Maskin monotonicity.

Keywords: Nash implementation; Private good economies; Single-plateaued preferences (search for similar items in EconPapers)
JEL-codes: C72 D71 (search for similar items in EconPapers)
Date: 2013-04
New Economics Papers: this item is included in nep-gth and nep-mic
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:tut:cremwp:201311

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