IDEAS home Printed from https://ideas.repec.org/a/the/publsh/6643.html

Pairwise efficiency and monotonicity imply Pareto efficiency in (probabilistic) object allocation

Author

Listed:
  • Demeulemeester, Tom

    (Department of Economics, Maastricht University)

  • Klaus, Bettina

    (Department of Economics, University of Lausanne)

Abstract

We consider object allocation problems with capacities where objects have to be assigned to agents. We show that a probabilistic monotonic lottery rule satisfies ex-post Pareto efficiency if and only if it satisfies ex-post pairwise efficiency and ex-post non-wastefulness. This result allows us to strengthen various existing characterization results, both for lottery rules and for deterministic rules, by replacing (ex-post) Pareto efficiency with (ex-post) pairwise efficiency and (ex-post) non-wastefulness, e.g., for characterizations of the Random Serial Dictatorship rule (Basteck, 2025), Trading Cycles rules (Pycia and Ünver, 2017), and Hierarchical Exchange rules (Pápai, 2000).

Suggested Citation

  • Demeulemeester, Tom & Klaus, Bettina, 0. "Pairwise efficiency and monotonicity imply Pareto efficiency in (probabilistic) object allocation," Theoretical Economics, Econometric Society.
    • Handle: RePEc:the:publsh:6643
    as

    Download full text from publisher

    File URL: http://econtheory.org/ojs/index.php/te/article/viewForthcomingFile/6643/45800/1
    File Function: Working paper version. Paper will be copyedited and typeset before publication.
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis

    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:the:publsh:6643. 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: Editor Theoretical Economics The email address of this maintainer does not seem to be valid anymore. Please ask Editor Theoretical Economics to update the entry or send us the correct address (email available below). General contact details of provider: http://econtheory.org .

    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.