Consistency and its Converse for Roommate Markets
For marriage markets with equal numbers of men and women and where all men find all women acceptable and all women find all men acceptable, Sasaki and Toda (1992) characterize the core by anonymity, Pareto optimality, consistency, and converse consistency. In a recent paper, Nizamogullari and Özkal-Sanver (2012) generalize this result to the full domain of marriage markets by adding individual rationality and by replacing anonymity with gender fairness. We generalize both results by characterizing the core on the domain of no odd rings roommate markets by individual rationality, anonymity, Pareto optimality, consistency, and converse consistency. We also prove that extending this characterization to the domain of solvable roommate markets is not possible.
|Date of creation:||Sep 2013|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: ++41 21 692.33.64
Web page: http://www.hec.unil.ch/deep/publications/cahiers/series
More information through EDIRC
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.:
- Ozkal-Sanver, Ipek, 2004. "A note on gender fairness in matching problems," Mathematical Social Sciences, Elsevier, vol. 47(2), pages 211-217, March.
- Chung, Kim-Sau, 2000. "On the Existence of Stable Roommate Matchings," Games and Economic Behavior, Elsevier, vol. 33(2), pages 206-230, November.
- Manabu Toda, 2006. "Monotonicity and Consistency in Matching Markets," International Journal of Game Theory, Springer, vol. 34(1), pages 13-31, April.
When requesting a correction, please mention this item's handle: RePEc:lau:crdeep:13.12. 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: (Claudine Delapierre Saudan)
If references are entirely missing, you can add them using this form.