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Some things couples always wanted to know about stable matchings (but were afraid to ask)

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Author Info

  • Bettina Klaus

    ()

  • Flip Klijn

    ()

  • Jordi Massó

    ()

Abstract

In this note we study the National Resident Matching Program (NRMP) algorithm in the US market for physicians. We report on two problems that concern the presence of couples, a feature explicitly incorporated in the new NRMP algorithm (cf. Roth and Peranson, 1999). First, we show that the new NRMP algorithm may not find an existing stable matching, even when couples' preferences are "responsive," i.e., when Gale and Shapleys (1962) deferred acceptance algorithm (on which the old NRMP algorithm is based) is applicable. Second, we demonstrate that the new NRMP algorithm may also be manipulated by couples acting as singles.

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File URL: http://hdl.handle.net/10.1007/s10058-006-0017-9
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Bibliographic Info

Article provided by Springer in its journal Review of Economic Design.

Volume (Year): 11 (2007)
Issue (Month): 3 (November)
Pages: 175-184

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Handle: RePEc:spr:reecde:v:11:y:2007:i:3:p:175-184

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Related research

Keywords: Matching; Stability; Couples; C78; D78; J41;

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References

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  1. 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.
  2. Bettina Klaus & Flip Klijn, 2004. "Stable Matchings and Preferences of Couples," Working Papers 117, Barcelona Graduate School of Economics.
  3. Alvin E. Roth, 2002. "The Economist as Engineer: Game Theory, Experimentation, and Computation as Tools for Design Economics," Econometrica, Econometric Society, vol. 70(4), pages 1341-1378, July.
  4. Zhou Lin, 1994. "A New Bargaining Set of an N-Person Game and Endogenous Coalition Formation," Games and Economic Behavior, Elsevier, vol. 6(3), pages 512-526, May.
  5. 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.
  6. Roth, Alvin E, 1984. "The Evolution of the Labor Market for Medical Interns and Residents: A Case Study in Game Theory," Journal of Political Economy, University of Chicago Press, vol. 92(6), pages 991-1016, December.
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Citations

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Cited by:
  1. Klaus, Bettina & Klijn, Flip, 2005. "Stable matchings and preferences of couples," Journal of Economic Theory, Elsevier, vol. 121(1), pages 75-106, March.
  2. 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.
  3. Lars Ehlers & Jordi Massó, 2004. "Incomplete Information and Small Cores in Matching Markets," UFAE and IAE Working Papers 637.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  4. Alfredo Salgado-Torres, 2012. "A simple decentralized matching mechanism in markets with couples," Economics Bulletin, AccessEcon, vol. 32(3), pages 2044-2055.
  5. Bettina Klaus & Flip Klijn, 2004. "Fair and Efficient Student Placement with Couples," Working Papers 145, Barcelona Graduate School of Economics.
  6. Dogan, Onur & Laffond, Gilbert & Lainé, Jean, 2011. "The Core of Shapley-Scarf markets with couples," Journal of Mathematical Economics, Elsevier, vol. 47(1), pages 60-67, January.
  7. David Cantala, 2011. "Agreement toward stability in matching markets," Review of Economic Design, Springer, vol. 15(4), pages 293-316, December.
  8. Peter Biro & Flip Klijn, 2011. "Matching with Couples: a Multidisciplinary Survey," IEHAS Discussion Papers 1139, Institute of Economics, Hungarian Academy of Sciences.

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