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Partially-honest Nash implementation: Characterization results

  • Lombardi, Michele
  • Yoshihara, Naoki

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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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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  1. Roberto Serrano & Antonio Cabrales, 2007. "Implementation in Adaptive Better-Response Dynamics," Working Papers 2007-10, Brown University, Department of Economics.
  2. Yamato, Takehiko, 1992. "On nash implementation of social choice correspondences," Games and Economic Behavior, Elsevier, vol. 4(3), pages 484-492, July.
  3. Uri Gneezy, 2005. "Deception: The Role of Consequences," American Economic Review, American Economic Association, vol. 95(1), pages 384-394, March.
  4. Tyran, Jean-Robert, 2003. "Behavioral Game Theory. Experiments in Strategic Interaction: Colin F. Camerer, Princeton University Press, Princeton, New Jersey, 2003, p. 550, Price $65.00/[UK pound]42.95, ISBN 0-691-09039-4," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 32(6), pages 717-720, December.
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  6. Dirk Bergemann & Stephen Morris & Olivier Tercieux, 2010. "Rationalizable Implementation," Cowles Foundation Discussion Papers 1697R, Cowles Foundation for Research in Economics, Yale University.
  7. Hitoshi Matsushima, 2007. "Role of Honesty in Full Implementation," CIRJE F-Series CIRJE-F-518, CIRJE, Faculty of Economics, University of Tokyo.
  8. 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.
  9. Tatamitani, Yoshikatsu, 2001. "Implementation by self-relevant mechanisms," Journal of Mathematical Economics, Elsevier, vol. 35(3), pages 427-444, June.
  10. Maskin, Eric, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Wiley Blackwell, vol. 66(1), pages 23-38, January.
  11. Matthew 0. Jackson, 1989. "Implementation in Undominated Strategies - A Look at Bounded Mechanisms," Discussion Papers 833, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  12. Koray, Semih & Sertel, Murat, 1991. "A necessary and sufficient condition for two-person Nash implementation : B. Dutta and A. Sen, Review of economic studies 58 (1991), 121-128," European Journal of Political Economy, Elsevier, vol. 7(4), pages 620-620, November.
  13. 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).
  14. Dutta, Bhaskar & Sen, Arunava, 2012. "Nash implementation with partially honest individuals," Games and Economic Behavior, Elsevier, vol. 74(1), pages 154-169.
  15. Cabrales, Antonio & Charness, Gary & Corchon, Luis C., 2003. "An experiment on Nash implementation," Journal of Economic Behavior & Organization, Elsevier, vol. 51(2), pages 161-193, June.
  16. Kartik, Navin & Tercieux, Olivier, 2012. "Implementation with evidence," Theoretical Economics, Econometric Society, vol. 7(2), May.
  17. 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.
  18. Hannu Vartiainen, 2007. "Nash implementation and the bargaining problem," Social Choice and Welfare, Springer, vol. 29(2), pages 333-351, September.
  19. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288 Elsevier.
  20. Amartya Sen, 1997. "Maximization and the Act of Choice," Econometrica, Econometric Society, vol. 65(4), pages 745-780, July.
  21. Lombardi, Michele & Yoshihara, Naoki, 2011. "Partially-honest Nash implementation: Characterization results," CCES Discussion Paper Series 43, Center for Research on Contemporary Economic Systems, Graduate School of Economics, Hitotsubashi University.
  22. Benoît, Jean-Pierre & Ok, Efe A., 2008. "Nash implementation without no-veto power," Games and Economic Behavior, Elsevier, vol. 64(1), pages 51-67, September.
  23. Luis Corchón & Carmen Herrero, 2004. "A decent proposal," Spanish Economic Review, Springer, vol. 6(2), pages 107-125, 07.
  24. Matthew O. Jackson, 2001. "A crash course in implementation theory," Social Choice and Welfare, Springer, vol. 18(4), pages 655-708.
  25. 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.
  26. 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).
  27. 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.
  28. Eliaz, K., 1999. "Fault Tolerant Implementation," Papers 21-99, Tel Aviv.
  29. Danilov, Vladimir, 1992. "Implementation via Nash Equilibria," Econometrica, Econometric Society, vol. 60(1), pages 43-56, January.
  30. Sjaak Hurkens & Navin Kartik, 2009. "Would I lie to you? On social preferences and lying aversion," Experimental Economics, Springer, vol. 12(2), pages 180-192, June.
  31. 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.
  32. Bhaskar Dutta & Arunava Sen & Rajiv Vohra, 1994. "Nash implementation through elementary mechanisms in economic environments," Review of Economic Design, Springer, vol. 1(1), pages 173-203, December.
  33. Tatamitani, Yoshikatsu, 2002. "Implementation by self-relevant mechanisms: applications," Mathematical Social Sciences, Elsevier, vol. 44(3), pages 253-276, December.
  34. Francesca Busetto & Giulio Codognato, 2009. "Reconsidering two-agent Nash implementation," Social Choice and Welfare, Springer, vol. 32(2), pages 171-179, February.
  35. Moore, John & Repullo, Rafael, 1990. "Nash Implementation: A Full Characterization," Econometrica, Econometric Society, vol. 58(5), pages 1083-99, September.
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