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An impossibility theorem for secure implementation in discrete public good economies

Author

Listed:
  • Katsuhiko Nishizaki

    (Graduate School of Economics, Osaka University)

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.

Suggested Citation

  • Katsuhiko Nishizaki, 2013. "An impossibility theorem for secure implementation in discrete public good economies," Economics Bulletin, AccessEcon, vol. 33(1), pages 300-308.
    • Handle: RePEc:ebl:ecbull:eb-12-00797
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    References listed on IDEAS

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    Cited by:

    1. Nishizaki, Katsuhiko, 2018. "Secure implementability under Pareto-efficient rules in linear production economies with classical preferences," Research in Economics, Elsevier, vol. 72(3), pages 379-383.
    2. Katsuhiko Nishizaki, 2014. "An equivalence of secure implementability and full implementability in truthful strategies in pure exchange economies with Leontief utility functions," Review of Economic Design, Springer;Society for Economic Design, vol. 18(1), pages 73-82, March.

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    More about this item

    Keywords

    Secure implementation; Dominant strategy implementation; Nash implementation; Strategy-proofness; Discrete public good;
    All these keywords.

    JEL classification:

    • H4 - Public Economics - - Publicly Provided Goods
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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