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An impossibility theorem for secure implementation in discrete public good economies

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  • Katsuhiko Nishizaki

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    (Graduate School of Economics, Osaka University)

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    Abstract

    This paper studies the possibility of secure implementation (Saijo, T., T. Sjostrom, and T. Yamato (2007) "Secure implementation," Theoretical Economics 2, pp.203-229) in discrete public good economies with quasi-linear preferences. We find that only constant social choice functions are securely implementable over the domains that satisfy partial dominance introduced in this paper. Partial dominance is a reasonable condition because the set of all strictly increasing and strictly concave valuation functions satisfies this condition.

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    File URL: http://www.accessecon.com/Pubs/EB/2013/Volume33/EB-13-V33-I1-P29.pdf
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    Bibliographic Info

    Article provided by AccessEcon in its journal Economics Bulletin.

    Volume (Year): 33 (2013)
    Issue (Month): 1 ()
    Pages: 300-308

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    Handle: RePEc:ebl:ecbull:eb-12-00797

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    Related research

    Keywords: Secure implementation; Dominant strategy implementation; Nash implementation; Strategy-proofness; Discrete public good;

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    References

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    1. Yuji Fujinaka & Takuma Wakayama, 2007. "Secure Implementation in Economies with Indivisible Objects and Money," ISER Discussion Paper 0699, Institute of Social and Economic Research, Osaka University.
    2. 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.
    3. Yuji Fujinaka & Takuma Wakayama, 2011. "Secure implementation in Shapley–Scarf housing markets," Economic Theory, Springer, vol. 48(1), pages 147-169, September.
    4. Deb, Rajat & Razzolini, Laura, 1999. "Voluntary cost sharing for an excludable public project," Mathematical Social Sciences, Elsevier, vol. 37(2), pages 123-138, March.
    5. Ohseto, Shinji, 2000. "Characterizations of Strategy-Proof Mechanisms for Excludable versus Nonexcludable Public Projects," Games and Economic Behavior, Elsevier, vol. 32(1), pages 51-66, July.
    6. Deb, Rajat & Razzolini, Laura & Seo, Tae Kun, 2003. "Strategy-proof cost sharing, ability to pay and free provision of an indivisible public good," Mathematical Social Sciences, Elsevier, vol. 45(2), pages 205-227, April.
    7. Yan Yu, 2007. "Serial cost sharing of an excludable public good available in multiple units," Social Choice and Welfare, Springer, vol. 29(3), pages 539-555, October.
    8. Dolors Berga & Bernardo Moreno, 2009. "Strategic requirements with indifference: single-peaked versus single-plateaued preferences," Social Choice and Welfare, Springer, vol. 32(2), pages 275-298, February.
    9. Kumar, Rajnish, 2013. "Secure implementation in production economies," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 372-378.
    10. Shinji Ohseto, 2005. "Augmented serial rules for an excludable public good," Economic Theory, Springer, vol. 26(3), pages 589-606, October.
    11. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July.
    12. Saijo, Tatsuyoshi, 1987. "On constant maskin monotonic social choice functions," Journal of Economic Theory, Elsevier, vol. 42(2), pages 382-386, August.
    13. Bochet, Olivier & Sakai, Toyotaka, 2010. "Secure implementation in allotment economies," Games and Economic Behavior, Elsevier, vol. 68(1), pages 35-49, January.
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