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Implementation in Dominant Strategies under Complete and Incomplete Information

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  • Rafael Repullo

Abstract

This paper shows that if a social choice rule can be implemented in dominant strategies by an indirect mechanism, but there does not exist a direct mechanism that implements it in dominant strategies, then it must be the case that the original indirect mechanism does not implement the social choice rule in Nash strategies (under complete information) or in Bayesian strategies (under imcomplete information).

Suggested Citation

  • Rafael Repullo, 1985. "Implementation in Dominant Strategies under Complete and Incomplete Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(2), pages 223-229.
    • Handle: RePEc:oup:restud:v:52:y:1985:i:2:p:223-229.
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    File URL: http://hdl.handle.net/10.2307/2297618
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    Cited by:

    1. , & , & ,, 2007. "Secure implementation," Theoretical Economics, Econometric Society, vol. 2(3), September.
    2. Rodrigo A. Velez & Alexander L. Brown, 2019. "Empirical strategy-proofness," Papers 1907.12408, arXiv.org, revised Jul 2020.
    3. Kumano, Taro & Watabe, Masahiro, 2012. "Dominant strategy implementation of stable rules," Games and Economic Behavior, Elsevier, vol. 75(1), pages 428-434.
    4. Tatsuyoshi Saijo & Tomas Sjostrom & Takehiko Yamato, 2003. "Secure Implementation:Strategy-Proof Mechanisms Reconsidered," Discussion papers 03019, Research Institute of Economy, Trade and Industry (RIETI).
    5. Núñez, Matías & Xefteris, Dimitrios, 2017. "Implementation via approval mechanisms," Journal of Economic Theory, Elsevier, vol. 170(C), pages 169-181.
    6. Núñez, Matías & Pimienta, Carlos & Xefteris, Dimitrios, 2022. "On the implementation of the median," Journal of Mathematical Economics, Elsevier, vol. 99(C).
    7. Kumano, Taro & Watabe, Masahiro, 2011. "Untruthful dominant strategies for the deferred acceptance algorithm," Economics Letters, Elsevier, vol. 112(2), pages 135-137, August.
    8. Chen, Yi-Chun & Kunimoto, Takashi & 国本, 隆 & Sun, Yifei, 2015. "Implementation with Transfers," Discussion Papers 2015-04, Graduate School of Economics, Hitotsubashi University.

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