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An Experiment on Nash Implementation

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  • Charness, Gary B
  • Cabrales, Antonio
  • 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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Bibliographic Info

Paper provided by Department of Economics, UC Santa Barbara in its series University of California at Santa Barbara, Economics Working Paper Series with number qt8275577k.

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Date of creation: 13 Jun 2001
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Handle: RePEc:cdl:ucsbec:qt8275577k

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Keywords: Implementation; Experiments; Mechanisms.;

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References

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  1. Theodore Groves & John Ledyard, 1976. "Optimal Allocation of Public Goods: A Solution to the 'Free Rider Problem'," Discussion Papers 144, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  2. Antonio Cabrales, . "Adaptive Dynamics and the Implementation Problem with Complete Information," ELSE working papers 009, ESRC Centre on Economics Learning and Social Evolution.
  3. Selten, Reinhard & Abdolkarim Sadrieh & Klaus Abbink, 1995. "Money does Not Induce Risk Neutral Behavior, but Binary Lotteries Do even Worse," Discussion Paper Serie B 343, University of Bonn, Germany.
  4. Perry, M. & Reny, P.J., 1995. "A General Solution to King Solomon's Dilemma," Papers 9581, Tilburg - Center for Economic Research.
  5. Abreu, Dilip & Matsushima, Hitoshi, 1992. "A Response [Virtual Implementation in Iteratively Undominated Strategies I: Complete Information]," Econometrica, Econometric Society, vol. 60(6), pages 1439-42, November.
  6. 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.
  7. Glazer, Jacob & Rosenthal, Robert W, 1992. "A Note on Abreu-Matsushima Mechanisms," Econometrica, Econometric Society, vol. 60(6), pages 1435-38, November.
  8. Yan Chen & Fang-Fang Tang, 1998. "Learning and Incentive-Compatible Mechanisms for Public Goods Provision: An Experimental Study," Journal of Political Economy, University of Chicago Press, vol. 106(3), pages 633-662, June.
  9. Sefton, Martin & Yavas, Abdullah, 1996. "Abreu-Matsushima Mechanisms: Experimental Evidence," Games and Economic Behavior, Elsevier, vol. 16(2), pages 280-302, October.
  10. Abreu, Dilip & Matsushima, Hitoshi, 1992. "Virtual Implementation in Iteratively Undominated Strategies: Complete Information," Econometrica, Econometric Society, vol. 60(5), pages 993-1008, September.
  11. Barsky, Robert B, et al, 1997. "Preference Parameters and Behavioral Heterogeneity: An Experimental Approach in the Health and Retirement Study," The Quarterly Journal of Economics, MIT Press, vol. 112(2), pages 537-79, May.
  12. Glazer, Jacob & Perry, Motty, 1996. "Virtual Implementation in Backwards Induction," Games and Economic Behavior, Elsevier, vol. 15(1), pages 27-32, July.
  13. Walker, Mark, 1981. "A Simple Incentive Compatible Scheme for Attaining Lindahl Allocations," Econometrica, Econometric Society, vol. 49(1), pages 65-71, January.
  14. Isaac, R Mark & Walker, James M, 1988. "Group Size Effects in Public Goods Provision: The Voluntary Contributions Mechanism," The Quarterly Journal of Economics, MIT Press, vol. 103(1), pages 179-99, February.
  15. Ray Chou & Robert F. Engle & Alex Kane, 1991. "Measuring Risk Aversion From Excess Returns on a Stock Index," NBER Working Papers 3643, National Bureau of Economic Research, Inc.
  16. John H. Kagel & A. Alexander Elbittar, 2004. "King Solomon's Dilemma: A Laboratory Study on Implementation," Econometric Society 2004 North American Winter Meetings 592, Econometric Society.
  17. Akerlof, George A & Dickens, William T, 1982. "The Economic Consequences of Cognitive Dissonance," American Economic Review, American Economic Association, vol. 72(3), pages 307-19, June.
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Cited by:
  1. 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.
  2. Giovanni Ponti & Anita Gantner & Dunia López-Pintado & Robert Montgomery, 2003. "Solomon's Dilemma: An experimental study on dynamic implementation," Review of Economic Design, Springer, vol. 8(2), pages 217-239, October.
  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.

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