IDEAS home Printed from https://ideas.repec.org/p/aub/autbar/571.03.html
   My bibliography  Save this paper

Bribe-proof Rules in the Division Problem

Author

Abstract

The division problem consists of allocating an amount of a perfectly divisible good among a group of n agents with single-peaked preferences. A rule maps preference profiles into n shares of the amount to be allocated. A rule is bribe-proof if no group of agents can compensate another agent to misrepresent his preference and, after an appropriate redistribution of their shares, each obtain a strictly preferred share. We characterize all bribe-proof rules as the class of efficient, strategy-proof, and weak replacement monotonic rules. In addition, we identify the functional form of all bribe-proof and tops-only rules.

Suggested Citation

  • Jordi MassóAuthor-Email: jordi.masso@uab.es & Alejandro Neme, 2003. "Bribe-proof Rules in the Division Problem," UFAE and IAE Working Papers 571.03, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  • Handle: RePEc:aub:autbar:571.03
    as

    Download full text from publisher

    File URL: http://pareto.uab.es/wp/2003/57103.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Eso, Peter & Schummer, James, 2004. "Bribing and signaling in second price auctions," Games and Economic Behavior, Elsevier, vol. 47(2), pages 299-324, May.
    2. Schummer, James & Thomson, William, 1997. "Two derivations of the uniform rule and an application to bankruptcy," Economics Letters, Elsevier, vol. 55(3), pages 333-337, September.
    3. Ching, Stephen, 1992. "A simple characterization of the uniform rule," Economics Letters, Elsevier, vol. 40(1), pages 57-60, September.
    4. Barbera, Salvador & Jackson, Matthew O. & Neme, Alejandro, 1997. "Strategy-Proof Allotment Rules," Games and Economic Behavior, Elsevier, vol. 18(1), pages 1-21, January.
    5. Schummer, James, 2000. "Manipulation through Bribes," Journal of Economic Theory, Elsevier, vol. 91(2), pages 180-198, April.
    6. Sprumont, Yves, 1991. "The Division Problem with Single-Peaked Preferences: A Characterization of the Uniform Allocation Rule," Econometrica, Econometric Society, vol. 59(2), pages 509-519, March.
    7. Yves Sprumont, 1995. "Strategyproof Collective Choice in Economic and Political Environments," Canadian Journal of Economics, Canadian Economics Association, vol. 28(1), pages 68-107, February.
    8. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
    9. Fiestras-Janeiro, Gloria & Klijn, Flip & Sanchez, Estela, 2004. "Manipulation of optimal matchings via predonation of endowment," Mathematical Social Sciences, Elsevier, pages 295-312.
    10. Masso, Jordi & Neme, Alejandro, 2007. "Bribe-proof rules in the division problem," Games and Economic Behavior, Elsevier, pages 331-343.
    11. Salvador Barberà, 2001. "An introduction to strategy-proof social choice functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 619-653.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Kentaro Hatsumi & Shigehiro Serizawa, 2009. "Coalitionally strategy-proof rules in allotment economies with homogeneous indivisible goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 33(3), pages 423-447, September.
    2. Andersson, Tommy & Svensson, Lars-Gunnar, 2016. "Strategy-proof house allocation with price restrictions," Journal of Economic Theory, Elsevier, vol. 163(C), pages 167-177.
    3. Erlanson, Albin & Szwagrzak, Karol, 2013. "Strategy-Proof Package Assignment," Working Papers 2013:43, Lund University, Department of Economics.
    4. Fiestras-Janeiro, Gloria & Klijn, Flip & Sanchez, Estela, 2004. "Manipulation of optimal matchings via predonation of endowment," Mathematical Social Sciences, Elsevier, pages 295-312.
    5. Masso, Jordi & Neme, Alejandro, 2007. "Bribe-proof rules in the division problem," Games and Economic Behavior, Elsevier, pages 331-343.
    6. Szwagrzak, Karol, 2014. "Strategy-proof market clearing mechanisms," Discussion Papers of Business and Economics 4/2014, University of Southern Denmark, Department of Business and Economics.
    7. Erlanson, Albin & Flores-Szwagrzak, Karol, 2015. "Strategy-proof assignment of multiple resources," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 137-162.

    More about this item

    Keywords

    Bribe-proofness; Strategy-proofness; Efficiency; Replacement Monotonicity; Single-peakedness;

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:aub:autbar:571.03. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Xavier Vila). General contact details of provider: http://edirc.repec.org/data/ufuabes.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.