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A Full Characterization of Nash Implementation with Strategy Space Reduction

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  • Lombardi, Michele
  • Yoshihara, Naoki

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.

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Bibliographic Info

Paper provided by Institute of Economic Research, Hitotsubashi University in its series Discussion Paper Series with number a548.

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Length: 21 p.
Date of creation: Apr 2011
Date of revision:
Handle: RePEc:hit:hituec:a548

Note: January 18, 2011
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Keywords: Nash implementation; strategy space reduction; s-mechanisms; Condition μsr; Condition Ms;

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References

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Citations

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Cited by:
  1. Lombardi, Michele & Yoshihara, Naoki, 2013. "Natural Implementation with Partially Honest Agents in Economic Environments," Discussion Paper Series 592, Institute of Economic Research, Hitotsubashi University.
  2. Lombardi, Michele, 2010. "Two-agent Nash implementation with partially-honest agents: Almost Full Characterizations," MPRA Paper 27834, University Library of Munich, Germany.
  3. Lombardi, Michele & Yoshihara, Naoki, 2012. "Natural Implementation with Partially Honest Agents," Discussion Paper Series 561, Institute of Economic Research, Hitotsubashi University.
  4. Michele Lombardi, 2012. "Nash implementation via simple stochastic mechanisms: strategy space reduction," Review of Economic Design, Springer, vol. 16(4), pages 297-309, December.
  5. Lombardi, Michele & Yoshihara, Naoki, 2013. "Partially Honest Nash Implementation:A Full Characterization," CCES Discussion Paper Series 49, Center for Research on Contemporary Economic Systems, Graduate School of Economics, Hitotsubashi University.
  6. Lombardi, Michele & Yoshihara, Naoki, 2011. "Partially-honest Nash implementation: Characterization results," Discussion Paper Series 555, Institute of Economic Research, Hitotsubashi University.

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