A Full Characterization of Nash Implementation with Strategy Space Reduction

Michele Lombardi, Naoki Yoshihara (), 直毅 吉原 and ナオキ ヨシハラ

No a548, Discussion Paper Series from Institute of Economic Research, Hitotsubashi University

Abstract: Noting that a full characterization of Nash-implementation is given using a canonical-mechanism and Maskin’s theorem (Maskin, 1999) is shown using a mechanism with Saijo’s type of strategy space reduction (Saijo, 1988), this paper fully characterizes the class of Nashimplementable social choice correspondences (SCCs) by mechanisms endowed with Saijo’s message space specification - s-mechanisms. This class of SCCs is further shown to be equivalent to the class of Nashimplementable SCCs, though any further ‘strategy space reduction’ mechanism breaks this equivalent relationship down.

Keywords: Nash implementation; strategy space reduction; s-mechanisms; Condition μsr; Condition Ms (search for similar items in EconPapers)
JEL-codes: C72 D71 D82 (search for similar items in EconPapers)
Pages: 21 pages
Date: 2011-04
New Economics Papers: this item is included in nep-gth
Note: 40561
References: View complete reference list from CitEc
Citations: View citations in EconPapers (11)

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https://hermes-ir.lib.hit-u.ac.jp/hermes/ir/re/19096/DP548.pdf

Related works:
Journal Article: A full characterization of nash implementation with strategy space reduction (2013)
Working Paper: A Full Characterization of Nash Implementation with Strategy Space Reduction (2010)
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Persistent link: https://EconPapers.repec.org/RePEc:hit:hituec:a548

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