IDEAS home Printed from https://ideas.repec.org/p/hit/hituec/a536.html
   My bibliography  Save this paper

Nash Implementation in Production Economies with Unequal Skills : A Complete Characterization

Author

Listed:
  • Yoshihara, Naoki
  • 吉原, 直毅
  • ヨシハラ, ナオキ
  • Yamada, Akira
  • 山田, 玲良
  • ヤマダ, アキラ

Abstract

In production economies with unequal labor skills, one of the intrinsic features for Nash implementation problems is the lack of information about individual skills, which makes the planner ignorant to the set of feasible allocations in advance of production. Given this intrinsic feature, the paper firstly introduces a new axiom, Non-manipulability of Irrelevant Skills (NIS), which together with Maskin Monotonicity constitute the necessary and sufficient conditions for Nash implementation. Secondly, the paper defines some conditions for natural mechanisms which seem relevant, and then shows that any efficient allocation rule is Nashimplementable by the natural mechanisms if and only if it satisfies a slightly stronger variation of NIS and Supporting Price Independence. Following these characterizations, it is shown that there is a Maskin monotonic allocation rule which is not implementable when information about individual skills is absent. In contrast, there are many fair allocation rules which are known to be non-implementable in the present literature, but are implementable by the natural mechanisms given in this paper.

Suggested Citation

  • Yoshihara, Naoki & 吉原, 直毅 & ヨシハラ, ナオキ & Yamada, Akira & 山田, 玲良 & ヤマダ, アキラ, 2010. "Nash Implementation in Production Economies with Unequal Skills : A Complete Characterization," Discussion Paper Series a536, Institute of Economic Research, Hitotsubashi University.
    • Handle: RePEc:hit:hituec:a536
    as

    Download full text from publisher

    File URL: https://hermes-ir.lib.hit-u.ac.jp/hermes/ir/re/18500/DP536.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Naoki Yoshihara & Akira Yamada, 2019. "Nash implementation in production economies with unequal skills: a characterization," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 53(1), pages 113-134, June.
    2. Takashi Hayashi, 2020. "Strategy-proofness and efficiency in labour production economy with unequal skills," The Japanese Economic Review, Springer, vol. 71(2), pages 221-232, April.
    3. Kaname Miyagishima, 2015. "Implementability and equity in production economies with unequal skills," Review of Economic Design, Springer;Society for Economic Design, vol. 19(3), pages 247-257, September.

    More about this item

    Keywords

    Unequal labor skills; Nash implementation; Nonmanipulability of Irrelevant Skills;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • 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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hit:hituec:a536. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Hiromichi Miyake (email available below). General contact details of provider: https://edirc.repec.org/data/iehitjp.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.