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On Partial Honesty Nash Implementation

  • Ahmed Doghmi

    (National Institute of Statistics and Applied Economics, Madinat Al Irfane, Rabat Institutes, 13000 Rabat, Morocco)

  • Abderrahmane ZIAD

    (University of Caen Basse-Normandie, CREM (UMR CNRS))

An agent is said to be partially honest if he or she weakly prefers an outcome at a strategy profile with his truthful strategy than an outcome at a strategy profile with his false strategy, then this player must prefer strictly the \true" strategy profille to the \false" strategy profile. In this paper we consider an exchange economy with single peaked preferences. With many agents (n ≥3), if there exists at least one partially honest agent, we prove that any solution of the problem of fair division satisfying unanimity is Nash implementable.

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Paper provided by Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS in its series Economics Working Paper Archive (University of Rennes 1 & University of Caen) with number 201201.

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Date of creation: Jan 2012
Date of revision:
Handle: RePEc:tut:cremwp:201201
Contact details of provider: Postal: CREM (UMR CNRS 6211) – Faculty of Economics, 7 place Hoche, 35065 RENNES Cedex
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  1. Dutta, Bhaskar & Sen, Arunava, 2009. "Nash Implementation with Partially Honest Individuals," The Warwick Economics Research Paper Series (TWERPS) 920, University of Warwick, Department of Economics.
  2. Ahmed Doghmi & Abderrahmane Ziad, 2008. "Nash implementation in exchange economies with single-peaked preferences," Post-Print halshs-00337149, HAL.
  3. Matsushima, Hitoshi, 2008. "Role of honesty in full implementation," Journal of Economic Theory, Elsevier, vol. 139(1), pages 353-359, March.
  4. Danilov, Vladimir, 1992. "Implementation via Nash Equilibria," Econometrica, Econometric Society, vol. 60(1), pages 43-56, January.
  5. Doghmi, Ahmed & Ziad, Abderrahmane, 2008. "Reexamination of Maskin's Theorem on Nash implementability," Economics Letters, Elsevier, vol. 100(1), pages 150-152, July.
  6. Yamato, Takehiko, 1992. "On nash implementation of social choice correspondences," Games and Economic Behavior, Elsevier, vol. 4(3), pages 484-492, July.
  7. Maskin, Eric, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Wiley Blackwell, vol. 66(1), pages 23-38, January.
  8. Dutta, Bhaskar & Sen, Arunava, 1991. "A Necessary and Sufficient Condition for Two-Person Nash Implementation," Review of Economic Studies, Wiley Blackwell, vol. 58(1), pages 121-28, January.
  9. Lombardi, Michele, 2010. "Two-agent Nash implementation with partially-honest agents: Almost Full Characterizations," MPRA Paper 27834, University Library of Munich, Germany.
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