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On Partially Honest Nash Implementation in Private Good Economies with Restricted Domains: A Sufficient Condition

Listed author(s):
  • Ahmed Doghmi

    (International University of Rabat)

  • Abderrahmane Ziad

    (CREM - Centre de Recherche en Economie et Management - UR1 - Université de Rennes 1 - Université de Caen Basse-Normandie - CNRS - Centre National de la Recherche Scientifique)

In this article, we study the problem of Nash implementation in private good economies with single-peaked, single-plateaued, and single-dipped preferences in the presence of at least one minimally honest agent. We prove that all solutions of the problem of fair division satisfying unanimity can be implemented in Nash equilibria as long as there are at least three agents participating in the mechanism (game form). To justify this result, we provide a list of solutions which violate the condition of no-veto power.

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Paper provided by HAL in its series Post-Print with number halshs-00869873.

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Date of creation: Jan 2013
Publication status: Published in Journal of Institutional and Theoretical Economics, Mohr Siebeck, 2013, 13 (1), pp.415-428. <10.1515/bejte-2012-0028>
Handle: RePEc:hal:journl:halshs-00869873
DOI: 10.1515/bejte-2012-0028
Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00869873
Contact details of provider: Web page: https://hal.archives-ouvertes.fr/

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  1. Doghmi, Ahmed & Ziad, Abderrahmane, 2008. "Nash implementation in exchange economies with single-peaked preferences," Economics Letters, Elsevier, vol. 100(1), pages 157-160, July.
  2. Doghmi, Ahmed & Ziad, Abderrahmane, 2008. "Reexamination of Maskin's Theorem on Nash implementability," Economics Letters, Elsevier, vol. 100(1), pages 150-152, July.
  3. Lombardi, Michele & Yoshihara, Naoki, 2011. "Partially-honest Nash implementation: Characterization results," Discussion Paper Series 555, Institute of Economic Research, Hitotsubashi University.
  4. Lombardi, Michele & Yoshihara, Naoki, 2012. "Natural Implementation with Partially Honest Agents," Discussion Paper Series 561, Institute of Economic Research, Hitotsubashi University.
  5. Ville Korpela, 2014. "Bayesian implementation with partially honest individuals," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(3), pages 647-658, October.
  6. Ahmed Doghmi, 2013. "Nash Implementation in an Allocation Problem with Single-Dipped Preferences," Games, MDPI, Open Access Journal, vol. 4(1), pages 1-12, January.
  7. Ahmed Doghmi & Abderrahmane Ziad, 2013. "Nash Implementation in Private Good Economies with Single-Plateaued Preferences," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 201311, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
  8. Doghmi Ahmed, 2013. "Nash Implementation in Private Good Economies when Preferences are Single-Dipped with Best Indifferent Allocations," Mathematical Economics Letters, De Gruyter, vol. 1(1), pages 35-42, October.
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