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A full characterization of nash implementation with strategy space reduction

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  • Michele Lombardi

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  • Naoki Yoshihara

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Abstract

The paper fully characterizes the class of Nash implementable social choice correspondences (SCCs) by mechanisms endowed with Saijo’s message space specification— $$s$$ -mechanisms. This class of SCCs is equivalent to the class of Nash implementable SCCs, though any game form involving ‘one less’ preference announcements breaks this equivalence relationship down. Copyright Springer-Verlag 2013

Suggested Citation

  • Michele Lombardi & Naoki Yoshihara, 2013. "A full characterization of nash implementation with strategy space reduction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(1), pages 131-151, September.
  • Handle: RePEc:spr:joecth:v:54:y:2013:i:1:p:131-151
    DOI: 10.1007/s00199-012-0714-2
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    Citations

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    Cited by:

    1. Lombardi, Michele & Yoshihara, Naoki, 2011. "Partially Honest Nash Implementation: A Full Characterization," MPRA Paper 48234, University Library of Munich, Germany, revised 11 Jul 2013.
    2. Lombardi, Michele & Yoshihara, Naoki, 2016. "Partially-honest Nash Implementation with Non-connected Honesty Standards," Discussion Paper Series 633, Institute of Economic Research, Hitotsubashi University.
    3. Lombardi, Michele, 2010. "Two-agent Nash implementation with partially-honest agents: Almost Full Characterizations," MPRA Paper 27834, University Library of Munich, Germany.
    4. Lombardi, Michele & Yoshihara, Naoki, 2016. "Treading a Fine Line : (Im)possibilities for Nash Implementation with Partially-honest Individuals," Discussion Paper Series 651, Institute of Economic Research, Hitotsubashi University.
    5. Lombardi, Michele & Yoshihara, Naoki, 2013. "Natural implementation with partially honest agents in economic environments," MPRA Paper 48294, University Library of Munich, Germany.
    6. Lombardi, Michele & Yoshihara, Naoki, 2011. "Partially-honest Nash implementation: Characterization results," MPRA Paper 28838, University Library of Munich, Germany.
    7. Michele Lombardi & Naoki Yoshihara, 2017. "Treading a Â…fine line: (Im)possibilities for Nash implementation with partially-honest individuals," Working Papers SDES-2017-14, Kochi University of Technology, School of Economics and Management, revised Aug 2017.
    8. Lombardi, Michele & Yoshihara, Naoki, 2012. "Natural Implementation with Partially Honest Agents," Discussion Paper Series 561, Institute of Economic Research, Hitotsubashi University.
    9. Lombardi, Michele & Yoshihara, Naoki, 2014. "Natural Implementation with Partially-honest Agents in Economic Environments with Free-disposal," Discussion Paper Series 616, Institute of Economic Research, Hitotsubashi University.
    10. Takashi Hayashi & Michele Lombardi, 2016. "Implementation in partial equilibrium," Working Papers 2016_13, Business School - Economics, University of Glasgow.
    11. repec:eee:jetheo:v:169:y:2017:i:c:p:13-34 is not listed on IDEAS
    12. Michele Lombardi, 2012. "Nash implementation via simple stochastic mechanisms: strategy space reduction," Review of Economic Design, Springer;Society for Economic Design, vol. 16(4), pages 297-309, December.
    13. Lombardi Michele & Yoshihara Naoki, 2012. "National implementation with partially honest agents," Research Memorandum 005, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).

    More about this item

    Keywords

    Nash implementation; Strategy space reduction; $$s$$ -mechanisms; C72; D71; D82;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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