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Partially-honest Nash implementation: Characterization results

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  • Lombardi, Michele
  • Yoshihara, Naoki

Abstract

This paper studies implementation problems in the wake of a recent trend of implementation of non-consequentialist nature, which draws on the evidence taken from experimental and behavioral economics. Specifically, following the seminal works by Matsushima (2008) and Dutta and Sen (2009), the paper considers implementation problems with partially-honest agents, which presume that there is at least one individual in society who concerns herself with not only outcomes but also honest behavior at least in a limited manner. Given this setting, the paper provides a general characterization of Nash implementation with partially-honest individuals. It also provides the necessary and sufficient condition for Nash implementation with partially-honest individuals bymechanisms with some types of strategyspace reductions. As a consequence, it shows that in contrast to the case of the standard framework, the equivalence between Nash implementation and Nash implementation with strategy space reduction no longer holds.

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File URL: http://hermes-ir.lib.hit-u.ac.jp/rs/bitstream/10086/19454/1/DP555.pdf
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Bibliographic Info

Paper provided by Institute of Economic Research, Hitotsubashi University in its series Discussion Paper Series with number 555.

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Length: 45 p.
Date of creation: Nov 2011
Date of revision:
Handle: RePEc:hit:hituec:555

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Keywords: Nash implementation; canonical-mechanisms; s-mechanisms; partial-honesty; permissive results;

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References

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  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. Glazer, Jacob & Rubinstein, Ariel, 1998. "Motives and Implementation: On the Design of Mechanisms to Elicit Opinions," Journal of Economic Theory, Elsevier, vol. 79(2), pages 157-173, April.
  3. Antonio Cabrales & Gary Charness & Luis Corchón, 1998. "An experiment on Nash implementation," Economics Working Papers 300, Department of Economics and Business, Universitat Pompeu Fabra.
  4. Kartik, Navin & Tercieux, Olivier, 2012. "Implementation with evidence," Theoretical Economics, Econometric Society, vol. 7(2), May.
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  6. Eliaz, Kfir, 2002. "Fault Tolerant Implementation," Review of Economic Studies, Wiley Blackwell, vol. 69(3), pages 589-610, July.
  7. 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).
  8. 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.
  9. Maskin, Eric & Sjostrom, Tomas, 2001. "Implementation Theory," Working Papers 5-01-1, Pennsylvania State University, Department of Economics.
  10. 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.
  11. Tatamitani, Yoshikatsu, 2001. "Implementation by self-relevant mechanisms," Journal of Mathematical Economics, Elsevier, vol. 35(3), pages 427-444, June.
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  17. Danilov, Vladimir, 1992. "Implementation via Nash Equilibria," Econometrica, Econometric Society, vol. 60(1), pages 43-56, January.
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  25. Dutta, Bhaskar & Sen, Arunava, 2012. "Nash implementation with partially honest individuals," Games and Economic Behavior, Elsevier, vol. 74(1), pages 154-169.
  26. Saijo, Tatsuyoshi & Tatamitani, Yoshikatsu & Yamato, Takehiko, 1996. "Toward Natural Implementation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(4), pages 949-80, November.
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  29. Uri Gneezy, 2005. "Deception: The Role of Consequences," American Economic Review, American Economic Association, vol. 95(1), pages 384-394, March.
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  34. 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).
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Citations

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Cited by:
  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. Michele Lombardi & Naoki Yoshihara, 2013. "A full characterization of nash implementation with strategy space reduction," Economic Theory, Springer, vol. 54(1), pages 131-151, September.
  3. Michele Lombardi, 2012. "Nash implementation via simple stochastic mechanisms: strategy space reduction," Review of Economic Design, Springer, vol. 16(4), pages 297-309, December.
  4. Lombardi, Michele & Yoshihara, Naoki, 2011. "Partially-honest Nash implementation: Characterization results," Discussion Paper Series 555, Institute of Economic Research, Hitotsubashi University.
  5. 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).
  6. Lombardi, Michele & Yoshihara, Naoki, 2012. "Natural Implementation with Partially Honest Agents," Discussion Paper Series 561, Institute of Economic Research, Hitotsubashi University.
  7. Lombardi, Michele & Yoshihara, Naoki, 2013. "Partially Honest Nash Implementation:A Full Characterization," CCES Discussion Paper Series 49, Center for Research on Contemporary Economic Systems, Graduate School of Economics, Hitotsubashi University.
  8. Lombardi, Michele & Yoshihara, Naoki, 2013. "Natural implementation with partially honest agents in economic environments," MPRA Paper 48294, University Library of Munich, Germany.
  9. 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.
  10. Kartik, Navin & Tercieux, Olivier & Holden, Richard, 2014. "Simple mechanisms and preferences for honesty," Games and Economic Behavior, Elsevier, vol. 83(C), pages 284-290.
  11. Ahmed Doghmi, 2013. "Nash Implementation in an Allocation Problem with Single-Dipped Preferences," Games, MDPI, Open Access Journal, vol. 4(1), pages 38-49, January.

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