IDEAS home Printed from https://ideas.repec.org/p/spa/wpaper/2016wpecon6.html
   My bibliography  Save this paper

The Roole Played By The Well-Behaved Matchings In The Coalition Formation Process Of The Stable Matchings For The Roommate Market

Author

Abstract

We approach the roommate problem by focusing on well-behaved matchings, which are those individually rational matchings whose blocking pairs, if any, are formed with unmatched agents. We show that the set of stable matchings is non-empty if and only if no well-behaved and unstable matching is Pareto optimal among all well-behaved matchings. The economic intuition underlying this condition is that blocking can be done so that the transactions at any well-behaved and unstable matching need not be undone as agents reach the the set of stable matchings. We also give a sufficient condition on the preferences of the agents for the non-emptiness of the set of stable matchings. New properties of economic interest are proved

Suggested Citation

  • Marilda Sotomayor, 2016. "The Roole Played By The Well-Behaved Matchings In The Coalition Formation Process Of The Stable Matchings For The Roommate Market," Working Papers, Department of Economics 2016_06, University of São Paulo (FEA-USP).
    • Handle: RePEc:spa:wpaper:2016wpecon6
    as

    Download full text from publisher

    File URL: http://www.repec.eae.fea.usp.br/documentos/MarildaSotomayor_06WP.pdf
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Wu, Qingyun & Roth, Alvin E., 2018. "The lattice of envy-free matchings," Games and Economic Behavior, Elsevier, vol. 109(C), pages 201-211.

    More about this item

    Keywords

    Core; Stable matching; well-behaved matching; simple matching.;
    All these keywords.

    JEL classification:

    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

    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:spa:wpaper:2016wpecon6. 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: Pedro Garcia Duarte (email available below). General contact details of provider: https://edirc.repec.org/data/deuspbr.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.