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Rationalizable Implementation in Finite Mechanisms

Author

Listed:
  • Yi-Chun Chen

    (National University of Singapore)

  • Takashi Kunimoto

    (School of Economics, Singapore Management University)

  • Yifei Sun

    (University of International Business and Economics)

  • Siyang Xiong

    (University of California, Riverside)

Abstract

We prove that the Maskin monotonicity condition (by Bergemann, Morris, and Tercieux (2011)) fully characterizes exact rationalizable implementation in an environ-ment with lotteries and transfers. Different from previous papers, our approach possesses many appealing features simultaneously, e.g., infinite mechanisms with no integer game or modulo game are used; no transfer is imposed on any rationalizable profile;the message space is small; the implementation is robust to information perturbationsand continuous in the sense of Oury and Tercieux (2012).

Suggested Citation

  • Yi-Chun Chen & Takashi Kunimoto & Yifei Sun & Siyang Xiong, 2020. "Rationalizable Implementation in Finite Mechanisms," Economics and Statistics Working Papers 5-2020, Singapore Management University, School of Economics.
    • Handle: RePEc:ris:smuesw:2020_005
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    Cited by:

    1. Chen, Yi-Chun & Kunimoto, Takashi & Sun, Yifei, 2023. "Continuous implementation with payoff knowledge," Journal of Economic Theory, Elsevier, vol. 209(C).
    2. Jain, Ritesh & Korpela, Ville & Lombardi, Michele, 2025. "Two-player rationalizable implementation," Journal of Economic Theory, Elsevier, vol. 227(C).
    3. Xiong, Siyang, 2023. "Rationalizable implementation of social choice functions: complete characterization," Theoretical Economics, Econometric Society, vol. 18(1), January.
    4. R Jain & V Korpela & M Lombardi, 2021. "An Iterative Approach to Rationalizable Implementation," IEAS Working Paper : academic research 21-A001, Institute of Economics, Academia Sinica, Taipei, Taiwan.
    5. Jain, Ritesh, 2021. "Rationalizable implementation of social choice correspondences," Games and Economic Behavior, Elsevier, vol. 127(C), pages 47-66.
    6. Takashi Kunimoto & Rene Saran & Roberto Serrano, 2020. "Interim Rationalizable Implementation of Functions," Economics and Statistics Working Papers 21-2020, Singapore Management University, School of Economics.
    7. Banerjee, Soumen & Chen, Yi-Chun & Sun, Yifei, 2024. "Direct implementation with evidence," Theoretical Economics, Econometric Society, vol. 19(2), May.
    8. Barlo, Mehmet & Dalkıran, Nuh Aygün, 2023. "Behavioral implementation under incomplete information," Journal of Economic Theory, Elsevier, vol. 213(C).

    More about this item

    Keywords

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    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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