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Games of Capacity Manipulation in Hospital-intern Markets

  • Hideo Konishi

    ()

  • M. Ünver

    ()

In this paper, we analyze capacity manipulation games in hospital-intern markets inspired by the real-life entry-level labor markets for young physicians seeking residencies at hospitals. In these markets, where the matching is determined by a centralized clearinghouse called the National Residency Matching Program (NRMP) in the USA, hospitals usually report the number of vacant positions to the NRMP as well as their preferences. We consider a model where preferences of hospitals and interns are common knowledge, and hospitals play a game of reporting their capacities. We characterize the equilibria of the game-form for the two most widely used stable rules: hospital-optimal and intern-optimal stable rules. We show that (i) there may not be a pure strategy equilibrium in general; and (ii) when a pure strategy equilibrium exists other than true-capacities, truthful capacity revelation is weakly Pareto-dominated for hospitals. We also analyze other properties of the set of Nash equilibria. Finally, we present sufficient conditions on preferences to guarantee the existence of pure strategy equilibria.

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File URL: http://hdl.handle.net/10.1007/s00355-006-0097-z
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Article provided by Springer in its journal Social Choice and Welfare.

Volume (Year): 27 (2006)
Issue (Month): 1 (August)
Pages: 3-24

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Handle: RePEc:spr:sochwe:v:27:y:2006:i:1:p:3-24
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  1. Alcalde, J. & Barberà, S., 1992. "Top Dominance and the Possibility of Strategy-Proof Stable Solutions to Matching Problems," UFAE and IAE Working Papers 196.92, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  2. Roth, Alvin E & Sotomayor, Marilda, 1989. "The College Admissions Problem Revisited," Econometrica, Econometric Society, vol. 57(3), pages 559-70, May.
  3. Sonmez, T., 1995. "Strategy-Proofness in Many-To-One Matching Problems," Papers 95-01, Michigan - Center for Research on Economic & Social Theory.
  4. Szilvia Papai, 2000. "Strategyproof Assignment by Hierarchical Exchange," Econometrica, Econometric Society, vol. 68(6), pages 1403-1434, November.
  5. Tayfun Sönmez & Suryapratim Banerjee & Hideo Konishi, 2001. "Core in a simple coalition formation game," Social Choice and Welfare, Springer, vol. 18(1), pages 135-153.
  6. Balinski, Michel & Sonmez, Tayfun, 1999. "A Tale of Two Mechanisms: Student Placement," Journal of Economic Theory, Elsevier, vol. 84(1), pages 73-94, January.
  7. Tayfun Sönmez & Tarik Kara, 1997. "Implementation of college admission rules (*)," Economic Theory, Springer, vol. 9(2), pages 197-218.
  8. Sertel, Murat R., 1994. "Manipulating Lindahl equilibrium via endowments," Economics Letters, Elsevier, vol. 46(2), pages 167-171, October.
  9. Roth, Alvin E & Vande Vate, John H, 1990. "Random Paths to Stability in Two-Sided Matching," Econometrica, Econometric Society, vol. 58(6), pages 1475-80, November.
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