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Secure implementation

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Author Info

  • Sjostrom, Tomas

    ()
    (Rutgers University)

  • Yamato, Takehiko

    ()
    (Tokyo Institute of Technology)

  • Saijo, Tatsuyoshi

    ()
    (Osaka University)

Abstract

Strategy-proofness, requiring that truth-telling be a dominant strategy, is a standard concept in social choice theory. However, this concept has serious drawbacks. In particular, many strategy-proof mechanisms have multiple Nash equilibria, some of which produce the wrong outcome. A possible solution to this problem is to require double implementation in Nash equilibrium and in dominant strategies, i.e., secure implementation. We characterize securely implementable social choice functions and investigate the connections with dominant strategy implementation and robust implementation. We show that in standard quasi-linear environments with divisible private or public goods, there exist surplus-maximizing (non-dictatorial) social choice functions that can be securely implemented.

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Bibliographic Info

Article provided by Econometric Society in its journal Theoretical Economics.

Volume (Year): 2 (2007)
Issue (Month): 3 (September)
Pages:

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Handle: RePEc:the:publsh:229

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Web page: http://econtheory.org

Related research

Keywords: Nash implementation; robust implementation; secure implementation; strategy-proofness;

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References

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  1. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
  2. Kagel, J.H. & Levin, D., 1988. "Independent Private Value Auctions: Bidder Behavior In First, Second And Third-Price Auctions With Varying Numbers Of Bidders," Papers 13, Houston - Department of Economics.
  3. Moulin, Herve, 1994. "Serial Cost-Sharing of Excludable Public Goods," Review of Economic Studies, Wiley Blackwell, vol. 61(2), pages 305-25, April.
  4. Salvador Barbera & Matthew Jackson, 1991. "A Characterization of Strategy-Proof Social Choice Functions for Economies with Pure Public Goods," Discussion Papers 964, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  5. Kawagoe, Toshiji & Mori, Toru, 2001. " Can the Pivotal Mechanism Induce Truth-Telling? An Experimental Study," Public Choice, Springer, vol. 108(3-4), pages 331-54, September.
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  7. Satterthwaite, Mark A & Sonnenschein, Hugo, 1981. "Strategy-Proof Allocation Mechanisms at Differentiable Points," Review of Economic Studies, Wiley Blackwell, vol. 48(4), pages 587-97, October.
  8. Dirk Bergemann & Stephen Morris, 2005. "Robust Implementation: The Role of Large Type Spaces," Cowles Foundation Discussion Papers 1519, Cowles Foundation for Research in Economics, Yale University.
  9. Roth, Alvin E. & Postlewaite, Andrew, 1977. "Weak versus strong domination in a market with indivisible goods," Journal of Mathematical Economics, Elsevier, vol. 4(2), pages 131-137, August.
  10. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July.
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  12. Repullo, Rafael, 1985. "Implementation in Dominant Strategies under Complete and Incomplete Information," Review of Economic Studies, Wiley Blackwell, vol. 52(2), pages 223-29, April.
  13. Dirk Bergemann & Stephen Morris, 2003. "Robust Mechanism Design," Cowles Foundation Discussion Papers 1421R, Cowles Foundation for Research in Economics, Yale University, revised Apr 2004.
  14. Attiyeh, Greg & Franciosi, Robert & Isaac, R Mark, 2000. " Experiments with the Pivot Process for Providing Public Goods," Public Choice, Springer, vol. 102(1-2), pages 95-114, January.
  15. Cason, Timothy N. & Saijo, Tatsuyoshi & Sjostrom, Tomas & Yamato, Takehiko, 2003. "Secure Implementation Experiments: Do Strategy-proof Mechanisms Really Work?," Working Papers 4-03-1, Pennsylvania State University, Department of Economics.
  16. Moulin, Herve & Shenker, Scott, 1992. "Serial Cost Sharing," Econometrica, Econometric Society, vol. 60(5), pages 1009-37, September.
  17. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
  18. 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.
  19. Kagel, John H & Harstad, Ronald M & Levin, Dan, 1987. "Information Impact and Allocation Rules in Auctions with Affiliated Private Values: A Laboratory Study," Econometrica, Econometric Society, vol. 55(6), pages 1275-1304, November.
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