IDEAS home Printed from https://ideas.repec.org/a/spr/sochwe/v53y2019i1d10.1007_s00355-019-01174-w.html
   My bibliography  Save this article

Nash implementation in production economies with unequal skills: a characterization

Author

Listed:
  • Naoki Yoshihara

    (University of Massachusetts Amherst
    Kochi University of Technology
    Hitotsubashi University)

  • Akira Yamada

    (Sapporo University)

Abstract

The present study examines production economies with unequal labor skills, where the planner is ignorant of the set of feasible allocations in advance of production. In particular, we characterize Nash implementation by canonical mechanisms by means of Maskin monotonicity and a new axiom, non-manipulability of unused skills (NUS), where the latter represents a weak independence property with respect to changes in skills. Following these characterizations, we show that some Maskin monotonic social choice correspondences are not implementable if information about individual skills is absent.

Suggested Citation

  • 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.
  • Handle: RePEc:spr:sochwe:v:53:y:2019:i:1:d:10.1007_s00355-019-01174-w
    DOI: 10.1007/s00355-019-01174-w
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00355-019-01174-w
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s00355-019-01174-w?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Tian, Guoqiang, 2000. "Incentive Mechanism Design for Production Economies with Both Private and Public Ownerships," Games and Economic Behavior, Elsevier, vol. 33(2), pages 294-320, November.
    2. Tian, Guoqiang, 2009. "Implementation in economies with non-convex production technologies unknown to the designer," Games and Economic Behavior, Elsevier, vol. 66(1), pages 526-545, May.
    3. Kaplan, Todd R & Wettstein, David, 2000. "Surplus Sharing with a Two-State Mechanism," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(2), pages 399-409, May.
    4. Naoki Yoshihara, 1999. "Natural and double implementation of public ownership solutions in differentiable production economies," Review of Economic Design, Springer;Society for Economic Design, vol. 4(2), pages 127-151.
    5. Shin, Sungwhee & Suh, Sang-Chul, 1997. "Double Implementation by a Simple Game Form in the Commons Problem," Journal of Economic Theory, Elsevier, vol. 77(1), pages 205-213, November.
    6. Akira Yamada & Naoki Yoshihara, 2007. "Triple implementation by sharing mechanisms in production economies with unequal labor skills," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(1), pages 85-106, September.
    7. Akira Yamada & Naoki Yoshihara, 2008. "Mechanism design for a solution to the tragedy of commons," Review of Economic Design, Springer;Society for Economic Design, vol. 11(4), pages 253-270, February.
    8. Fleurbaey, Marc & Maniquet, Francois, 1996. "Fair allocation with unequal production skills: The No Envy approach to compensation," Mathematical Social Sciences, Elsevier, vol. 32(1), pages 71-93, August.
    9. Michele Lombardi & Naoki Yoshihara, 2013. "A full characterization of nash implementation with strategy space reduction," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(1), pages 131-151, September.
    10. 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.
    11. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 23-38.
    12. Guoqiang Tian, 1999. "Double implementation in economies with production technologies unknown to the designer," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(3), pages 689-707.
    13. Naoki Yoshihara, 2000. "A characterization of natural and double implementation in production economies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(4), pages 571-599.
    14. Tian Guoqiang & Li Qi, 1995. "On Nash-Implementation in the Presence of Withholding," Games and Economic Behavior, Elsevier, vol. 9(2), pages 222-233, May.
    15. Moore, John & Repullo, Rafael, 1990. "Nash Implementation: A Full Characterization," Econometrica, Econometric Society, vol. 58(5), pages 1083-1099, September.
    16. Saijo, Tatsuyoshi & Tatamitani, Yoshikatsu & Yamato, Takehiko, 1996. "Toward Natural Implementation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(4), pages 949-980, November.
    17. Yoshihara, Naoki & 吉原, 直毅 & Yamada, Akira & 山田, 玲良, 2010. "Nash Implementation in Production Economies with Unequal Skills: A Complete Characterization," CCES Discussion Paper Series 38, Center for Research on Contemporary Economic Systems, Graduate School of Economics, Hitotsubashi University.
    18. Hong, Lu, 1995. "Nash Implementation in Production Economies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(3), pages 401-417, May.
    19. Roemer John E. & Silvestre Joaquim, 1993. "The Proportional Solution for Economies with Both Private and Public Ownership," Journal of Economic Theory, Elsevier, vol. 59(2), pages 426-444, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Akira Yamada & Naoki Yoshihara, 2007. "Triple implementation by sharing mechanisms in production economies with unequal labor skills," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(1), pages 85-106, September.
    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.
    4. Lombardi, Michele & Yoshihara, Naoki, 2013. "Natural implementation with partially honest agents in economic environments," MPRA Paper 48294, University Library of Munich, Germany.
    5. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare,in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288 Elsevier.
    6. Michele Lombardi & Naoki Yoshihara, 2020. "Partially-honest Nash implementation: a full characterization," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 871-904, October.
    7. Lombardi, Michele & Yoshihara, Naoki, 2011. "Partially-honest Nash implementation: Characterization results," MPRA Paper 28838, University Library of Munich, Germany.
    8. Korpela, Ville & Lombardi, Michele & Vartiainen, Hannu, 2020. "Do coalitions matter in designing institutions?," Journal of Economic Theory, Elsevier, vol. 185(C).
    9. Luis Corchón & Matteo Triossi, 2011. "Implementation with renegotiation when preferences and feasible sets are state dependent," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 36(2), pages 179-198, February.
    10. R Jain & V Korpela & M Lombardi, 2022. "Two-Player Rationalizable Implementation," Working Papers 202228, University of Liverpool, Department of Economics.
    11. Lombardi, Michele & Yoshihara, Naoki, 2016. "Partially-honest Nash Implementation with Non-connected Honesty Standards," Discussion Paper Series 633, Institute of Economic Research, Hitotsubashi University.
    12. Tian, Guoqiang, 2009. "Implementation of Pareto efficient allocations," Journal of Mathematical Economics, Elsevier, vol. 45(1-2), pages 113-123, January.
    13. Corchón, Luis C. & Triossi, Matteo, 2005. "Implementation with state dependent feasible sets and preferences: a renegotiation approach," UC3M Working papers. Economics we057136, Universidad Carlos III de Madrid. Departamento de Economía.
    14. Corchón, Luis C., 2008. "The theory of implementation : what did we learn?," UC3M Working papers. Economics we081207, Universidad Carlos III de Madrid. Departamento de Economía.
    15. Michele Lombardi & Naoki Yoshihara, 2017. "Treading a Â…fine line: (Im)possibilities for Nash implementation with partially-honest individuals," Working Papers SDES-2017-14, Kochi University of Technology, School of Economics and Management, revised Aug 2017.
    16. Lombardi, M. & Yoshihara, N., 2018. "Treading a fine line: (Im)possibilities for Nash implementation with partially-honest individuals," Games and Economic Behavior, Elsevier, vol. 111(C), pages 203-216.
    17. Hayashi, Takashi & Lombardi, Michele, 2019. "Constrained implementation," Journal of Economic Theory, Elsevier, vol. 183(C), pages 546-567.
    18. Hayashi, Takashi & Lombardi, Michele, 2017. "Implementation in partial equilibrium," Journal of Economic Theory, Elsevier, vol. 169(C), pages 13-34.
    19. Lombardi, M. & Yoshihara, N., 2012. "National implementation with partially honest agents," Research Memorandum 005, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    20. Jianxin Yi, 2021. "Nash implementation via mechanisms that allow for abstentions," Theory and Decision, Springer, vol. 91(2), pages 279-288, September.

    More about this item

    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:spr:sochwe:v:53:y:2019:i:1:d:10.1007_s00355-019-01174-w. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.