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Ex post self-implementation

Author

Listed:
  • Hideki Mizukami

    (Aoyama Gakuin University)

  • Takuma Wakayama

    (Ryukoku University)

Abstract

We consider the implementation problem under incomplete information and interdependent values. This paper provides a necessary and sufficient condition for a social choice function to be ex post self-implementable in general environments. A social choice function is ex post self-implementable if it is fully ex post implemented by the associated direct revelation mechanism. We introduce a new monotonicity condition called restricted monotonicity and show that this and ex post incentive compatibility are necessary and sufficient for ex post self-implementation.

Suggested Citation

  • Hideki Mizukami & Takuma Wakayama, 2015. "Ex post self-implementation," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(2), pages 357-367, October.
    • Handle: RePEc:spr:etbull:v:3:y:2015:i:2:d:10.1007_s40505-014-0050-8
    DOI: 10.1007/s40505-014-0050-8
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    References listed on IDEAS

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    1. Dirk Bergemann & Stephen Morris, 2012. "Robust Implementation in Direct Mechanisms," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 4, pages 153-194, World Scientific Publishing Co. Pte. Ltd..
    2. R.J. Aumann & S. Hart (ed.), 2002. "Handbook of Game Theory with Economic Applications," Handbook of Game Theory with Economic Applications, Elsevier, edition 1, volume 3, number 3.
    3. Matthew O. Jackson, 1992. "Implementation in Undominated Strategies: A Look at Bounded Mechanisms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(4), pages 757-775.
    4. , & , & ,, 2007. "Secure implementation," Theoretical Economics, Econometric Society, vol. 2(3), September.
    5. Dirk Bergemann & Stephen Morris, 2012. "Ex Post Implementation," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 3, pages 97-152, World Scientific Publishing Co. Pte. Ltd..
    6. Dirk Bergemann & Stephen Morris, 2012. "Robust Implementation in General Mechanisms," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 5, pages 195-239, World Scientific Publishing Co. Pte. Ltd..
    7. Matthew O. Jackson, 2001. "A crash course in implementation theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 655-708.
    8. Mizukami, Hideki & Wakayama, Takuma, 2007. "Dominant strategy implementation in economic environments," Games and Economic Behavior, Elsevier, vol. 60(2), pages 307-325, August.
    9. K. J. Arrow & A. K. Sen & K. Suzumura (ed.), 2002. "Handbook of Social Choice and Welfare," Handbook of Social Choice and Welfare, Elsevier, edition 1, volume 1, number 1.
    10. Ohashi, Yoshihiro, 2012. "Two-person ex post implementation," Games and Economic Behavior, Elsevier, vol. 75(1), pages 435-440.
    11. Saijo, Tatsuyoshi & Yamato, Takehiko, 2007. "Secure Implementation―Theory and Experiments―," Economic Review, Hitotsubashi University, vol. 58(2), pages 122-135, April.
    12. Barbera, Salvador & Dutta, Bhaskar, 1986. "General, direct and self-implementation of social choice functions via protective equilibria," Mathematical Social Sciences, Elsevier, vol. 11(2), pages 109-127, April.
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    Cited by:

    1. Mizukami, Hideki & Wakayama, Takuma, 2017. "New necessary and sufficient conditions for secure implementation," Economics Letters, Elsevier, vol. 152(C), pages 76-78.

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    More about this item

    Keywords

    Ex post implementation; Self-implementation; The direct mechanism; Ex post incentive compatibility; Restricted monotonicity;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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