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An experiment on Nash implementation

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  • Cabrales, Antonio
  • Charness, Gary
  • Corchon, Luis C.

Abstract

We perform an experimental test of a modification of the controversial canonical mechanism for Nash implementation, using 3 subjects in non-repeated groups, as well as 3 outcomes, states of nature, and integer choices. We find that this mechanism successfully implements the desired outcome a large majority of the time, providing empirical evidence for the feasibility of such implementation. In addition, the performance is further improved by imposing a fine on a dissident, so that the mechanism implements strict Nash equilibria. While our environment is stylized, our results offer hope that experiments can identify reasonable features for practical implementation mechanisms.
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Suggested Citation

  • 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.
  • Handle: RePEc:eee:jeborg:v:51:y:2003:i:2:p:161-193
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    1. repec:cdl:ucsbec:6-98 is not listed on IDEAS
    2. Cabrales, Antonio & Serrano, Roberto, 2011. "Implementation in adaptive better-response dynamics: Towards a general theory of bounded rationality in mechanisms," Games and Economic Behavior, Elsevier, vol. 73(2), pages 360-374.
    3. Antonio Cabrales & Giovanni Ponti, 2000. "Implementation, Elimination of Weakly Dominated Strategies and Evolutionary Dynamics," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(2), pages 247-282, April.
    4. Lombardi, Michele & Yoshihara, Naoki, 2011. "Partially-honest Nash implementation: Characterization results," MPRA Paper 28838, University Library of Munich, Germany.
    5. Braun, Sebastian & Dwenger, Nadja & Kübler, Dorothea & Westkamp, Alexander, 2014. "Implementing quotas in university admissions: An experimental analysis," Games and Economic Behavior, Elsevier, vol. 85(C), pages 232-251.
    6. Perez-Castrillo, David & Veszteg, Robert F., 2007. "Choosing a common project: Experimental evidence on the multibidding mechanism," Journal of Economic Behavior & Organization, Elsevier, vol. 63(3), pages 394-411, July.
    7. Giovanni Ponti & Anita Gantner & Dunia López-Pintado & Robert Montgomery, 2003. "Solomon's Dilemma: An experimental study on dynamic implementation," Review of Economic Design, Springer;Society for Economic Design, vol. 8(2), pages 217-239, October.
    8. Alexander Elbittar & Sonia B. Di Giannatale, 2010. "King Solomon’s Dilemma: An Experimental Study on Implementation," Working papers DTE 477, CIDE, División de Economía.
    9. Charness, Gary & Gneezy, Uri & Halladay, Brianna, 2016. "Experimental methods: Pay one or pay all," Journal of Economic Behavior & Organization, Elsevier, vol. 131(PA), pages 141-150.
    10. Saran, Rene, 2016. "Bounded depths of rationality and implementation with complete information," Journal of Economic Theory, Elsevier, vol. 165(C), pages 517-564.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C92 - Mathematical and Quantitative Methods - - Design of Experiments - - - Laboratory, Group Behavior
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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