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Nash Implementation in Private Good Economies with Single-Plateaued Preferences

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  • Ahmed Doghmi

    (National Institute of Statistics and Applied Economics of Rabat, Morocco)

  • Abderrahmane Ziad

    (Normandie University, Caen, Faculty of Economics and Business Administration - CREM CNRS UMR6211, France)

Abstract

In this paper we explore the problem of Nash implementation providing new sucient conditions called I-monotonicity and I-weak no-veto power. Firstly, we show that these conditions together with unanimity are sucient for the implementation of social choice correspondences (SCCs) in Nash equilibria. Secondly, we prove that, in the domain of the private good economies with single-plateaued preferences, a solution of the problem of fair division is Nash implementable if and only if it satis es Maskin monotonicity. We provide examples of SCCs satisfying or not Maskin monotonicity.

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Bibliographic Info

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 201311.

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Date of creation: Apr 2013
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Handle: RePEc:tut:cremwp:201311

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Keywords: Nash implementation; Private good economies; Single-plateaued preferences;

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  1. Dutta, Bhaskar & Sen, Arunava, 2012. "Nash implementation with partially honest individuals," Games and Economic Behavior, Elsevier, vol. 74(1), pages 154-169.
  2. Yamato, Takehiko, 1992. "On nash implementation of social choice correspondences," Games and Economic Behavior, Elsevier, vol. 4(3), pages 484-492, July.
  3. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
  4. Lombardi, Michele & Yoshihara, Naoki, 2011. "Partially-honest Nash implementation: Characterization results," Discussion Paper Series 555, Institute of Economic Research, Hitotsubashi University.
  5. Lars Ehlers, 2002. "Strategy-proof allocation when preferences are single-plateaued," Review of Economic Design, Springer, vol. 7(1), pages 105-115.
  6. Dolors Berga & Bernardo Moreno, 2007. "Strategic Requirements with Indifference: Single-Peaked versus Single-Plateaued Preferences," Working Papers 325, Barcelona Graduate School of Economics.
  7. Hitoshi Matsushima, 2007. "Behavioral Aspects of Implementation Theory," CIRJE F-Series CIRJE-F-523, CIRJE, Faculty of Economics, University of Tokyo.
  8. Hitoshi Matsushima, 2007. "Role of Honesty in Full Implementation," CIRJE F-Series CIRJE-F-518, CIRJE, Faculty of Economics, University of Tokyo.
  9. Moore, John & Repullo, Rafael, 1990. "Nash Implementation: A Full Characterization," Econometrica, Econometric Society, vol. 58(5), pages 1083-99, September.
  10. Salvador Barbera, 1995. "Strategy-Proof Allotment Rules," Discussion Papers 1142, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  11. Doghmi, Ahmed & Ziad, Abderrahmane, 2008. "Reexamination of Maskin's Theorem on Nash implementability," Economics Letters, Elsevier, vol. 100(1), pages 150-152, July.
  12. Danilov, Vladimir, 1992. "Implementation via Nash Equilibria," Econometrica, Econometric Society, vol. 60(1), pages 43-56, January.
  13. Doghmi, Ahmed & Ziad, Abderrahmane, 2008. "Nash implementation in exchange economies with single-peaked preferences," Economics Letters, Elsevier, vol. 100(1), pages 157-160, July.
  14. Ahmed Doghmi & Abderrahmane ZIAD, 2012. "On Partial Honesty Nash Implementation," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 201201, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
  15. Berga, Dolors, 1998. "Strategy-proofness and single-plateaued preferences," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 105-120, March.
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