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The Robustness of Robust Implementation

In: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs

Author

Listed:
  • Moritz Meyer-ter-Vehn
  • Stephen Morris

Abstract

We show that a mechanism that robustly implements optimal outcomes in a one-dimensional supermodular environment continues to robustly implement ε-optimal outcomes in all close-by environments. Robust implementation of ε-optimal outcomes is thus robust to small perturbations of the environment. This is in contrast to ex-post implementation which is not robust in this sense as only trivial social choice functions are ex-post implementable in generic environments.

Suggested Citation

  • Moritz Meyer-ter-Vehn & Stephen Morris, 2012. "The Robustness of Robust Implementation," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 10, pages 357-373, World Scientific Publishing Co. Pte. Ltd..
    • Handle: RePEc:wsi:wschap:9789814374590_0010
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    1. is not listed on IDEAS
    2. Dirk Bergemann & Stephen Morris, 2012. "Robust Mechanism Design: An Introduction," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 1, pages 1-48, World Scientific Publishing Co. Pte. Ltd..
    3. Chen, Yi-Chun & Kunimoto, Takashi & Sun, Yifei, 2023. "Continuous implementation with payoff knowledge," Journal of Economic Theory, Elsevier, vol. 209(C).
    4. Miura, Shintaro & Yamashita, Takuro, 2018. "Divergent Interpretation and Divergent Prediction in Communication," TSE Working Papers 18-939, Toulouse School of Economics (TSE).
    5. Modibo Camara & Jason Hartline & Aleck Johnsen, 2020. "Mechanisms for a No-Regret Agent: Beyond the Common Prior," Papers 2009.05518, arXiv.org.
    6. Kristóf Madarász & Andrea Prat, 2017. "Sellers with Misspecified Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(2), pages 790-815.
    7. Javier Rivas Ruiz, 2014. "Mechanism Design and Robust Control," Department of Economics Working Papers 22/14, University of Bath, Department of Economics.
    8. Rivas, Javier, 2015. "Mechanism design and bounded rationality: The case of type misreporting," Mathematical Social Sciences, Elsevier, vol. 78(C), pages 6-13.
    9. de Clippel, Geoffroy & Saran, Rene & Serrano, Roberto, 2023. "Continuous level-k mechanism design," Games and Economic Behavior, Elsevier, vol. 140(C), pages 481-501.
    10. Jehiel, Philippe & Meyer-ter-Vehn, Moritz & Moldovanu, Benny, 2012. "Locally robust implementation and its limits," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2439-2452.
    11. Carroll, Gabriel & Meng, Delong, 2016. "Locally robust contracts for moral hazard," Journal of Mathematical Economics, Elsevier, vol. 62(C), pages 36-51.

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    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D0 - Microeconomics - - General

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