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Mixed Bayesian implementation in general environments

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  • Kunimoto, Takashi

Abstract

A social choice rule is said to be mixed Bayesian implementable if one can design a mechanism (or institution) in which the set of all mixed Bayesian Nash equilibrium outcomes coincides with that specified by the rule. The objective of this paper is to generalize the results of mixed Bayesian implementation. By means of example, I first assess the implication of common priors in Bayesian implementation. Second, I identify a mild condition that fills the gap between the necessity and sufficiency for mixed Bayesian implementation in general environments including non-economic ones. Third, I establish some new results to unify the literature of Bayesian implementation and Nash implementation.

Suggested Citation

  • Kunimoto, Takashi, 2019. "Mixed Bayesian implementation in general environments," Journal of Mathematical Economics, Elsevier, vol. 82(C), pages 247-263.
    • Handle: RePEc:eee:mateco:v:82:y:2019:i:c:p:247-263
    DOI: 10.1016/j.jmateco.2019.03.003
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    Citations

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    Cited by:

    1. Takashi Kunimoto & Rene Saran & Roberto Serrano, 2020. "Interim Rationalizable Implementation of Functions," Working Papers 2020-23, Brown University, Department of Economics.
    2. Takashi Kunimoto & Roberto Serrano, 2020. "Rationalizable Incentives: Interim Implementation of Sets in Rationalizable Strategies," Working Papers 2020-15, Brown University, Department of Economics.
    3. Chen, Yi-Chun & Kunimoto, Takashi & Sun, Yifei & Xiong, Siyang, 2022. "Maskin meets Abreu and Matsushima," Theoretical Economics, Econometric Society, vol. 17(4), November.
    4. Ritesh Jain & Michele Lombardi, 2023. "On Interim Rationalizable Monotonicity," Working Papers 202315, University of Liverpool, Department of Economics.

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