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Partially Honest Nash Implementation:A Full Characterization

  • Lombardi, Michele
  • Yoshihara, Naoki

Given the framework introduced by Dutta and Sen (2012), this paper offers a comprehensive analysis of (Nash) implementation with artially honest agents when there are three or more participants. First, it establishes a condition which is necessary and sufficient for implementation. Second, it provides simple tests for checking whether or not a social choice correspondence can be implemented. Their usefulness is shown by examining implementation in a wide variety of environments.

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Paper provided by Center for Research on Contemporary Economic Systems, Graduate School of Economics, Hitotsubashi University in its series CCES Discussion Paper Series with number 49.

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Length: 25, [3] p.
Date of creation: Jul 2013
Date of revision:
Handle: RePEc:hit:ccesdp:49
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  1. Saijo, Tatsuyoshi, 1988. "Strategy Space Reduction in Maskin's Theorem: Sufficient Conditions for Nash Implementation," Econometrica, Econometric Society, vol. 56(3), pages 693-700, May.
  2. Hitoshi Matsushima, 2007. "Role of Honesty in Full Implementation," CIRJE F-Series CIRJE-F-518, CIRJE, Faculty of Economics, University of Tokyo.
  3. Hitoshi Matsushima, 2007. "Behavioral Aspects of Implementation Theory," CIRJE F-Series CIRJE-F-523, CIRJE, Faculty of Economics, University of Tokyo.
  4. Lombardi, Michele & Yoshihara, Naoki, 2011. "Partially-honest Nash implementation: Characterization results," Discussion Paper Series 555, Institute of Economic Research, Hitotsubashi University.
  5. Moore, John & Repullo, Rafael, 1990. "Nash Implementation: A Full Characterization," Econometrica, Econometric Society, vol. 58(5), pages 1083-99, September.
  6. Lombardi Michele & Yoshihara Naoki, 2012. "Natural implementation with partially hones agents," Research Memorandum 005, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  7. Tadenuma, Koichi & Toda, Manabu, 1998. "Implementable stable solutions to pure matching problems," Mathematical Social Sciences, Elsevier, vol. 35(2), pages 121-132, March.
  8. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 23-38.
  9. Jackson, Matthew O., 1999. "A Crash Course in Implementation Theory," Working Papers 1076, California Institute of Technology, Division of the Humanities and Social Sciences.
  10. Thomson William, 1994. "Consistent Solutions to the Problem of Fair Division When Preferences Are Single-Peaked," Journal of Economic Theory, Elsevier, vol. 63(2), pages 219-245, August.
  11. Kartik, Navin & Tercieux, Olivier, 2012. "Implementation with evidence," Theoretical Economics, Econometric Society, vol. 7(2), May.
  12. Lombardi Michele & Yoshihara Naoki, 2010. "A Full Characterization of Nash Implementation with Strategy Space Reduction," Research Memorandum 023, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
  13. 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.
  14. Kara, Tarik & Sonmez, Tayfun, 1996. "Nash Implementation of Matching Rules," Journal of Economic Theory, Elsevier, vol. 68(2), pages 425-439, February.
  15. Hannu Vartiainen, 2007. "Nash implementation and the bargaining problem," Social Choice and Welfare, Springer, vol. 29(2), pages 333-351, September.
  16. Sprumont, Yves, 1991. "The Division Problem with Single-Peaked Preferences: A Characterization of the Uniform Allocation Rule," Econometrica, Econometric Society, vol. 59(2), pages 509-19, March.
  17. Matthew O. Jackson, 1992. "Implementation in Undominated Strategies: A Look at Bounded Mechanisms," Review of Economic Studies, Oxford University Press, vol. 59(4), pages 757-775.
  18. Bhaskar Dutta & Arunava Sen, 1991. "A Necessary and Sufficient Condition for Two-Person Nash Implementation," Review of Economic Studies, Oxford University Press, vol. 58(1), pages 121-128.
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