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Mechanism design with possibilistic beliefs

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  • Chen, Jing
  • Micali, Silvio

Abstract

We study mechanism design in non-Bayesian settings of incomplete information, when the designer has no information about the players, and the players have arbitrary, heterogeneous, first-order, and possibilistic beliefs about their opponents' payoff types.

Suggested Citation

  • Chen, Jing & Micali, Silvio, 2015. "Mechanism design with possibilistic beliefs," Journal of Economic Theory, Elsevier, vol. 156(C), pages 77-102.
    • Handle: RePEc:eee:jetheo:v:156:y:2015:i:c:p:77-102
    DOI: 10.1016/j.jet.2013.07.021
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    References listed on IDEAS

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    1. Ilya Segal, 2003. "Optimal Pricing Mechanisms with Unknown Demand," American Economic Review, American Economic Association, vol. 93(3), pages 509-529, June.
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    9. John C. Harsanyi, 1967. "Games with Incomplete Information Played by "Bayesian" Players, I-III Part I. The Basic Model," Management Science, INFORMS, vol. 14(3), pages 159-182, November.
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    12. Kfir Eliaz & Ran Spiegler, 2007. "A Mechanism-Design Approach to Speculative Trade," Econometrica, Econometric Society, vol. 75(3), pages 875-884, May.
    13. Kim-Sau Chung & Jeffrey C. Ely, 2003. "Implementation with Near-Complete Information," Econometrica, Econometric Society, vol. 71(3), pages 857-871, May.
    14. Satterthwaite, Mark Allen, 1975. "Strategy-proofness and Arrow's conditions: Existence and correspondence theorems for voting procedures and social welfare functions," Journal of Economic Theory, Elsevier, vol. 10(2), pages 187-217, April.
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    18. Cason, Timothy N. & Saijo, Tatsuyoshi & Sjostrom, Tomas & Yamato, Takehiko, 2006. "Secure implementation experiments: Do strategy-proof mechanisms really work?," Games and Economic Behavior, Elsevier, vol. 57(2), pages 206-235, November.
    19. Abreu, Dilip & Matsushima, Hitoshi, 1992. "Virtual Implementation in Iteratively Undominated Strategies: Complete Information," Econometrica, Econometric Society, vol. 60(5), pages 993-1008, September.
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    Citations

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    Cited by:

    1. Ronen Gradwohl, 2018. "Privacy in implementation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 50(3), pages 547-580, March.
    2. Blume, Lawrence & Easley, David & Kleinberg, Jon & Kleinberg, Robert & Tardos, Éva, 2015. "Introduction to computer science and economic theory," Journal of Economic Theory, Elsevier, vol. 156(C), pages 1-13.
    3. Jing Chen & Silvio Micali, 2016. "Leveraging Possibilistic Beliefs in Unrestricted Combinatorial Auctions," Games, MDPI, vol. 7(4), pages 1-19, October.
    4. Jaeok Park & Doo Hyung Yun, 2023. "Possibilistic beliefs in strategic games," Theory and Decision, Springer, vol. 95(2), pages 205-228, August.
    5. Guarino, Pierfrancesco & Ziegler, Gabriel, 2022. "Optimism and pessimism in strategic interactions under ignorance," Games and Economic Behavior, Elsevier, vol. 136(C), pages 559-585.

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    More about this item

    Keywords

    Incomplete information; Single-good auctions; First-order beliefs; Conservative beliefs;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D80 - Microeconomics - - Information, Knowledge, and Uncertainty - - - General
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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