This file is part of IDEAS, which uses RePEc data


[ Papers | Articles | Software | Books | Chapters | Authors | Institutions | JEL Classification | NEP reports | Search | New papers by email | Author registration | Rankings | Volunteers | FAQ | Blog | Help! ]

Stability and Nash Implementation in Matching Markets with Couples

Author info | Abstract | Publisher info | Download info | Related research | Statistics
Author Info
Claus-Jochen Haake () (Institute of Mathematical Economics, Bielefeld University)
Bettina-Elisabeth Klaus () (Harvard Business School, Negotiation, Organizations & Markets Unit)

Additional information is available for the following registered author(s):

Abstract

We consider two-sided matching markets with couples. First, we extend a result by Klaus and Klijn (2005, Theorem 3.3) and show that for any weakly responsive couples market there always exists a "double stable" matching, i.e., a matching that is stable for the couples market and for any associated singles market. Second, we show that for weakly responsive couples markets the associated stable correspondence is (Maskin) monotonic and Nash implementable. In contrast, the correspondence that assigns all double stable matchings is neither monotonic nor Nash implementable.

Download Info
To download:

If you experience problems downloading a file, check if you have the proper application to view it first. Information about this may be contained in the File-Format links below. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.hbs.edu/research/pdf/09-017.pdf
File Format: application/pdf
File Function:
Download Restriction: no

Publisher Info
Paper provided by Harvard Business School in its series Harvard Business School Working Papers with number 09-017.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length: 17 pages
Date of creation: Aug 2008
Date of revision:
Handle: RePEc:hbs:wpaper:09-017

Contact details of provider:
Postal: Soldiers Field, Boston, Massachusetts 02163
Phone: 617.495.6000
Web page: http://www.hbs.edu/
More information through EDIRC

For technical questions regarding this item, or to correct its listing, contact: (Soebagio Notosoehardjo).

Related research
Keywords: Matching with Couples; (Maskin) Monotonicity; Nash Implementation; Stability; Weakly Responsive Preferences;

Other versions of this item:

Find related papers by JEL classification:
C62 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Existence and Stability Conditions of Equilibrium
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-Making and Implementation
J41 - Labor and Demographic Economics - - Particular Labor Markets - - - Labor Contracts

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Haake,Claus-Jochen & Klaus,Bettina, 2005. "Monotonicity and Nash Implementation in Matching Markets with Contracts," Research Memoranda 028, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
    Other versions:
  2. Alkan, Ahmet & Gale, David, 2003. "Stable schedule matching under revealed preference," Journal of Economic Theory, Elsevier, vol. 112(2), pages 289-306, October. [Downloadable!] (restricted)
  3. John William Hatfield & Paul R. Milgrom, 2005. "Matching with Contracts," American Economic Review, American Economic Association, vol. 95(4), pages 913-935, September. [Downloadable!]
    Other versions:
  4. Kara, Tarik & Sonmez, Tayfun, 1996. "Nash Implementation of Matching Rules," Journal of Economic Theory, Elsevier, vol. 68(2), pages 425-439, February. [Downloadable!] (restricted)
  5. Tayfun Sönmez & Tarik Kara, 1997. "Implementation of college admission rules (*)," Economic Theory, Springer, vol. 9(2), pages 197-218.
  6. Klaus, Bettina & Klijn, Flip & Nakamura, Toshifumi, 2007. "Corrigendum: Stable Matchings and Preferences of Couples," Research Memoranda 025, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
    Other versions:
  7. Klaus, Bettina & Klijn, Flip, 2005. "Stable matchings and preferences of couples," Journal of Economic Theory, Elsevier, vol. 121(1), pages 75-106, March. [Downloadable!] (restricted)
  8. Matthew O. Jackson, 2001. "A crash course in implementation theory," Social Choice and Welfare, Springer, vol. 18(4), pages 655-708. [Downloadable!] (restricted)
    Other versions:
  9. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November. [Downloadable!] (restricted)
  10. Klaus, Bettina & Klijn, Flip, 2007. "Paths to stability for matching markets with couples," Games and Economic Behavior, Elsevier, vol. 58(1), pages 154-171, January. [Downloadable!] (restricted)
    Other versions:
Full references

Statistics
Access and download statistics

Did you know? You too can volunteer for RePEc, for example by editing a NEP report.

This page was last updated on 2009-11-19.

This information is provided to you by IDEAS at the Department of Economics, College of Liberal Arts and Sciences, University of Connecticut using RePEc data on a server sponsored by the Society for Economic Dynamics.