Games of capacity allocation in many-to-one matching with an aftermarket
In this paper, we study many-to-one matching (hospital-intern markets) with an aftermarket. We analyze the Nash equilibria of capacity allocation games, in which preferences of hospitals and interns are common knowledge and every hospital determines a quota for the regular market given its total capacity for the two matching periods. Under the intern-optimal stable matching system, we show that a pure-strategy Nash equilibrium may not exist. Common preferences for hospitals ensure the existence of equilibrium in weakly dominant strategies whereas unlike in games of capacity manipulation strong monotonicity of population is not a sufficient restriction on preferences to avoid the nonexistence problem. Besides, in games of capacity allocation, it is not true either that every hospital weakly prefers a mixed-strategy Nash equilibrium to any larger regular market quota profiles.
(This abstract was borrowed from another version of this item.)
If you experience problems downloading a file, check if you have the proper application to view it first. 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.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Volume (Year): 33 (2009)
Issue (Month): 3 (September)
|Contact details of provider:|| Web page: http://www.springer.com|
|Order Information:||Web: http://www.springer.com/economics/economic+theory/journal/355|
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.:
- Li, Hao & Rosen, Sherwin, 1998. "Unraveling in Matching Markets," American Economic Review, American Economic Association, vol. 88(3), pages 371-87, June.
- Atila Abdulkadiroglu & Tayfun Sonmez, 1998. "Random Serial Dictatorship and the Core from Random Endowments in House Allocation Problems," Econometrica, Econometric Society, vol. 66(3), pages 689-702, May.
- Guillaume R. Fréchette & Alvin E. Roth & M. Utku Ünver, 2007.
"Unraveling yields inefficient matchings: evidence from post-season college football bowls,"
RAND Journal of Economics,
RAND Corporation, vol. 38(4), pages 967-982, December.
- Guillaume Frechette & Alvin E. Roth & M. Utku Ünver, 2004. "Unraveling Yields Inefficient Matchings: Evidence from Post- Season College Football Bowls," Microeconomics 0404001, EconWPA, revised 24 Sep 2004.
- FrÃ©chette, Guillaume & Unver, M. Utku & Roth, Alvin, 2007. "Unraveling Yields Inefficient Matchings: Evidence from Post-Season College Football Bowls," Scholarly Articles 2570385, Harvard University Department of Economics.
- Roth, Alvin E., 1985. "The college admissions problem is not equivalent to the marriage problem," Journal of Economic Theory, Elsevier, vol. 36(2), pages 277-288, August.
- Haruvy, Ernan & Roth, Alvin E. & Unver, M. Utku, 2006.
"The dynamics of law clerk matching: An experimental and computational investigation of proposals for reform of the market,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 30(3), pages 457-486, March.
- Ernan Haruvy & Alvin E. Roth & M. Utku Unver, 2004. "The Dynamics of Law Clerk Matching: An Experimental and Computational Investigation of Proposals for Reform of the Market," Experimental 0404001, EconWPA.
- Hao Li & Wing Suen, 2000. "Risk Sharing, Sorting, and Early Contracting," Journal of Political Economy, University of Chicago Press, vol. 108(5), pages 1058-1087, October.
- Roth, Alvin E. & Sotomayor, Marilda, 1992.
Handbook of Game Theory with Economic Applications,
in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 16, pages 485-541
- Sonmez, Tayfun, 1997. "Manipulation via Capacities in Two-Sided Matching Markets," Journal of Economic Theory, Elsevier, vol. 77(1), pages 197-204, November.
- Roth, Alvin E & Xing, Xiaolin, 1994. "Jumping the Gun: Imperfections and Institutions Related to the Timing of Market Transactions," American Economic Review, American Economic Association, vol. 84(4), pages 992-1044, September.
- Hideo Konishi & M. Utku Unver, 2001.
"Games of Capacity Manipulation in Hospital-Intern Markets,"
Boston College Working Papers in Economics
515, Boston College Department of Economics, revised 31 Jul 2002.
- Hideo Konishi & M. Ünver, 2006. "Games of Capacity Manipulation in Hospital-intern Markets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(1), pages 3-24, August.
- Sonmez, Tayfun, 1999. "Can Pre-arranged Matches Be Avoided in Two-Sided Matching Markets?," Journal of Economic Theory, Elsevier, vol. 86(1), pages 148-156, May.
- Alvin E. Roth & Elliott Peranson, 1999.
"The Redesign of the Matching Market for American Physicians: Some Engineering Aspects of Economic Design,"
NBER Working Papers
6963, National Bureau of Economic Research, Inc.
- Elliott Peranson & Alvin E. Roth, 1999. "The Redesign of the Matching Market for American Physicians: Some Engineering Aspects of Economic Design," American Economic Review, American Economic Association, vol. 89(4), pages 748-780, September.
- Fuhito Kojima, 2006. "Mixed Strategies in Games of Capacity Manipulation in Hospital–Intern Markets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(1), pages 25-28, August.
- Szilvia Papai, 2000. "Strategyproof Assignment by Hierarchical Exchange," Econometrica, Econometric Society, vol. 68(6), pages 1403-1434, November.
When requesting a correction, please mention this item's handle: RePEc:spr:sochwe:v:33:y:2009:i:3:p:383-403. 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: (Sonal Shukla)or (Rebekah McClure)
If references are entirely missing, you can add them using this form.