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Honesty-Proof Implementation

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  • Hitoshi Matsushima

    (Faculty of Economics, University of Tokyo)

Abstract

We investigate implementation of social choice functions that map from states to lotteries and may depend on factors other than agents' preferences. We assume that agents are not only purely self-interested but also honesty-oriented in a lexicographical way. We define iterative honesty-proofness by iteratively removing messages dominated by more honest messages. We show that in the complete information environments with small fines, every social choice function is implementable in iterative honesty-proofness. This is in contrast with the standard implementation model, because any 'normative' social choice function depending on non-preference factors is never implementable when agents are not influenced by factors other than pure self-interest. We extend this result to the incomplete information environments with quasi-linearity and with correlated private signals. Next, we assume that it is costly for each agent to report dishonestly and this cost may be close to zero. We show that in the incomplete information environments, every incentive compatible social choice function can be implemented by the mechanism that is universal in the sense that it does not depend on the private signal structure.

Suggested Citation

  • Hitoshi Matsushima, 2002. "Honesty-Proof Implementation," CIRJE F-Series CIRJE-F-178, CIRJE, Faculty of Economics, University of Tokyo.
    • Handle: RePEc:tky:fseres:2002cf178
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    File URL: http://www.cirje.e.u-tokyo.ac.jp/research/dp/2002/2002cf178.pdf
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    References listed on IDEAS

    as
    1. Matsushima Hitoshi, 1993. "Bayesian Monotonicity with Side Payments," Journal of Economic Theory, Elsevier, vol. 59(1), pages 107-121, February.
    2. Deneckere,R. & Severinov,S., 2001. "Mechanism design and communication costs," Working papers 23, Wisconsin Madison - Social Systems.
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    4. Matsushima, Hitoshi, 1988. "A new approach to the implementation problem," Journal of Economic Theory, Elsevier, vol. 45(1), pages 128-144, June.
    5. Krishna, Vijay, 2009. "Auction Theory," Elsevier Monographs, Elsevier, edition 2, number 9780123745071.
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    8. Michihiro Kandori, 2003. "The Erosion and Sustainability of Norms and Morale," The Japanese Economic Review, Japanese Economic Association, vol. 54(1), pages 29-48, March.
    9. Abreu Dilip & Matsushima Hitoshi, 1994. "Exact Implementation," Journal of Economic Theory, Elsevier, vol. 64(1), pages 1-19, October.
    10. Deschamps, Robert & Gevers, Louis, 1978. "Leximin and utilitarian rules: A joint characterization," Journal of Economic Theory, Elsevier, vol. 17(2), pages 143-163, April.
    11. Roberto Serrano & Rajiv Vohra, 2000. "Type Diversity and Virtual Bayesian Implementation Creation-Date: 2000," Working Papers 2000-16, Brown University, Department of Economics.
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    13. Matthew Rabin, 1998. "Psychology and Economics," Journal of Economic Literature, American Economic Association, vol. 36(1), pages 11-46, March.
    14. Cabrales, Antonio, 1999. "Adaptive Dynamics and the Implementation Problem with Complete Information," Journal of Economic Theory, Elsevier, vol. 86(2), pages 159-184, June.
    15. Brian Erard & Jonathan S. Feinstein, 1994. "Honesty and Evasion in the Tax Compliance Game," RAND Journal of Economics, The RAND Corporation, vol. 25(1), pages 1-19, Spring.
    16. Hitoshi Matsushima, 2002. "Stability and Implementation via Simple Mechanisms in the Complete Information Environments," CIRJE F-Series CIRJE-F-147, CIRJE, Faculty of Economics, University of Tokyo.
    17. Palfrey, Thomas R & Srivastava, Sanjay, 1991. "Nash Implementation Using Undominated Strategies," Econometrica, Econometric Society, vol. 59(2), pages 479-501, March.
    18. Jeffrey C. Ely & Kim-Sau Chung, 2002. "Ex-Post Incentive Compatible Mechanism Design," Discussion Papers 1339, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    19. Rabin, Matthew, 1993. "Incorporating Fairness into Game Theory and Economics," American Economic Review, American Economic Association, vol. 83(5), pages 1281-1302, December.
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    Cited by:

    1. Schmitz, Patrick W., 2007. "Optimal selling strategies when buyers may have hard information," European Economic Review, Elsevier, vol. 51(4), pages 859-870, May.
    2. Stephanie Rosenkranz & Patrick W. Schmitz, 2007. "Reserve Prices in Auctions as Reference Points," Economic Journal, Royal Economic Society, vol. 117(520), pages 637-653, April.

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