IDEAS home Printed from https://ideas.repec.org/a/spr/reecde/v26y2022i2d10.1007_s10058-021-00262-7.html
   My bibliography  Save this article

Non-dictatorial public distribution rules

Author

Listed:
  • Mridu Prabal Goswami

    (Socio-Economic Research Unit, Indian Statistical Institute)

Abstract

This paper considers an exchange economy with no individual endowment where agents have classical quasi-linear preferences and the total available resources are to be distributed amongst a set of agents according to their reported preferences over the resources. We show that there is no social choice function (SCF) that is compatible with equal treatment of the equals, strategy-proofness and Pareto-efficiency. As a consequence, we explore an alternative notion of efficiency, the “Pareto-efficient in the range,” and observe that fairness and strategy-proofness are consistent with this notion of efficiency. A characterization of such SCFs for economies with two goods and two agents is established.

Suggested Citation

  • Mridu Prabal Goswami, 2022. "Non-dictatorial public distribution rules," Review of Economic Design, Springer;Society for Economic Design, vol. 26(2), pages 165-183, June.
  • Handle: RePEc:spr:reecde:v:26:y:2022:i:2:d:10.1007_s10058-021-00262-7
    DOI: 10.1007/s10058-021-00262-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10058-021-00262-7
    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/s10058-021-00262-7?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 search for a different version of it.

    References listed on IDEAS

    as
    1. John Weymark, 2011. "A unified approach to strategy-proofness for single-peaked preferences," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 2(4), pages 529-550, December.
    2. Mridu Goswami, 2015. "Non fixed-price trading rules in single-crossing classical exchange economies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(2), pages 389-422, February.
    3. Barbera, Salvador & Jackson, Matthew O, 1995. "Strategy-Proof Exchange," Econometrica, Econometric Society, vol. 63(1), pages 51-87, January.
    4. , Prabal & , & ,, 2014. "Strategy-proofness and Pareto-efficiency in quasi-linear exchange economies," Theoretical Economics, Econometric Society, vol. 9(2), May.
    5. Serizawa, Shigehiro & Weymark, John A., 2003. "Efficient strategy-proof exchange and minimum consumption guarantees," Journal of Economic Theory, Elsevier, vol. 109(2), pages 246-263, April.
    6. Takeshi Momi, 2020. "Efficient and strategy-proof allocation mechanisms in many-agent economies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(2), pages 325-367, August.
    7. Hurwicz, Leonid & Walker, Mark, 1990. "On the Generic Nonoptimality of Dominant-Strategy Allocation Mechanisms: A General Theorem That Includes Pure Exchange Economies," Econometrica, Econometric Society, vol. 58(3), pages 683-704, May.
    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. Mridu Goswami & Arunava Sen & Sonal Yadav, 2015. "A Hurwicz type result in a model with public good production," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 45(4), pages 867-887, December.
    2. Takeshi Momi, 2020. "Efficient and strategy-proof allocation mechanisms in many-agent economies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 55(2), pages 325-367, August.
    3. Mridu Goswami, 2015. "Non fixed-price trading rules in single-crossing classical exchange economies," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(2), pages 389-422, February.
    4. Jin Li & Jingyi Xue, 2013. "Egalitarian division under Leontief Preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 597-622, November.
    5. Carbajal, Juan Carlos & Müller, Rudolf, 2015. "Implementability under monotonic transformations in differences," Journal of Economic Theory, Elsevier, vol. 160(C), pages 114-131.
    6. Ryan Tierney, 2016. "On the manipulability of efficient exchange rules," ISER Discussion Paper 0987, Institute of Social and Economic Research, Osaka University.
    7. Özgür Kıbrıs & İpek Tapkı, 2014. "A mechanism design approach to allocating central government funds among regional development agencies," Review of Economic Design, Springer;Society for Economic Design, vol. 18(3), pages 163-189, September.
    8. Erlanson, Albin & Szwagrzak, Karol, 2013. "Strategy-Proof Package Assignment," Working Papers 2013:43, Lund University, Department of Economics.
    9. Youngsub Chun & Manipushpak Mitra & Suresh Mutuswami, 2017. "Reordering an existing queue," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 49(1), pages 65-87, June.
    10. Dutta, Bhaskar & Sen, Arunava, 2012. "Nash implementation with partially honest individuals," Games and Economic Behavior, Elsevier, vol. 74(1), pages 154-169.
    11. Hidekazu Anno & Hiroo Sasaki, 2013. "Second-best efficiency of allocation rules: strategy-proofness and single-peaked preferences with multiple commodities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 693-716, November.
    12. 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.
    13. Shigehiro Serizawa, 2006. "Pairwise Strategy-Proofness and Self-Enforcing Manipulation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(2), pages 305-331, April.
    14. Diego Moreno & María Moscoso, 2013. "Strategy-proof allocation mechanisms for economies with public goods," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 315-336, January.
    15. Makowski, Louis & Ostroy, Joseph M. & Segal, Uzi, 1999. "Efficient Incentive Compatible Economies Are Perfectly Competitive," Journal of Economic Theory, Elsevier, vol. 85(2), pages 169-225, April.
    16. BOSSERT, Walter & WEYMARK, J.A., 2006. "Social Choice: Recent Developments," Cahiers de recherche 01-2006, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    17. Louis Makowski & Joseph M. Ostroy & Uzi Segal, 1995. "Perfect Competition as the Blueprint for Efficiency and Incentive Compatibility," UCLA Economics Working Papers 745, UCLA Department of Economics.
    18. Kalai, Ehud & Ledyard, John O., 1998. "Repeated Implementation," Journal of Economic Theory, Elsevier, vol. 83(2), pages 308-317, December.
    19. Ando, Kazutoshi & Kato, Miki & Ohseto, Shinji, 2008. "Strategy-proof and symmetric allocation of an indivisible good," Mathematical Social Sciences, Elsevier, vol. 55(1), pages 14-23, January.
    20. Luis Corchón & José Rueda-Llano, 2008. "Differentiable strategy-proof mechanisms for private and public goods in domains that are not necessarily large or quasi-linear," Review of Economic Design, Springer;Society for Economic Design, vol. 12(4), pages 279-291, December.

    More about this item

    Keywords

    Strategy-proofness; Pareto-efficiency; Pareto-efficiency in the range; Equal treatment of the equals; Quasi-linear preferences; Public distribution;
    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
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

    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:reecde:v:26:y:2022:i:2:d:10.1007_s10058-021-00262-7. 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.