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Equilibria under deferred acceptance: Dropping strategies, filled positions, and welfare

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Listed author(s):
  • Jaramillo, Paula
  • Kayı, Çaǧatay
  • Klijn, Flip

Abstract

We study many-to-one matching markets where hospitals have responsive preferences over students. We study the game induced by the student-optimal stable matching mechanism. We assume that students play their weakly dominant strategy of truth-telling.

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File URL: http://www.sciencedirect.com/science/article/pii/S0899825613001358
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Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 82 (2013)
Issue (Month): C ()
Pages: 693-701

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Handle: RePEc:eee:gamebe:v:82:y:2013:i:c:p:693-701
DOI: 10.1016/j.geb.2013.10.001
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622836

Keywords: Many-to-one matching; Deferred acceptance; Nash equilibrium; Dropping strategies; Filled positions; Welfare;

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Find related papers by JEL classification:
  • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
  • D60 - Microeconomics - - Welfare Economics - - - General

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  1. Marilda Sotomayor, 2008. "The stability of the equilibrium outcomes in the admission games induced by stable matching rules," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 621-640, March.
  2. Paula Jaramillo & Çaǧatay Kayı & Flip Klijn, 2014. "On the exhaustiveness of truncation and dropping strategies in many-to-many matching markets," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(4), pages 793-811, April.
  3. Sotomayor, Marilda, 1996. "A Non-constructive Elementary Proof of the Existence of Stable Marriages," Games and Economic Behavior, Elsevier, vol. 13(1), pages 135-137, March.
  4. Roth, Alvin E, 1986. "On the Allocation of Residents to Rural Hospitals: A General Property of Two-Sided Matching Markets," Econometrica, Econometric Society, vol. 54(2), pages 425-427, March.
  5. Alvin Roth, 2008. "Deferred acceptance algorithms: history, theory, practice, and open questions," International Journal of Game Theory, Springer;Game Theory Society, vol. 36(3), pages 537-569, March.
  6. Fuhito Kojima & Parag A. Pathak, 2009. "Incentives and Stability in Large Two-Sided Matching Markets," American Economic Review, American Economic Association, vol. 99(3), pages 608-627, June.
  7. Blum, Yosef & Roth, Alvin E. & Rothblum, Uriel G., 1997. "Vacancy Chains and Equilibration in Senior-Level Labor Markets," Journal of Economic Theory, Elsevier, vol. 76(2), pages 362-411, October.
  8. Klijn, Flip & Yazıcı, Ayşe, 2014. "A many-to-many ‘rural hospital theorem’," Journal of Mathematical Economics, Elsevier, vol. 54(C), pages 63-73.
  9. 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.
  10. Marilda Sotomayor, 2012. "A further note on the college admission game," International Journal of Game Theory, Springer;Game Theory Society, vol. 41(1), pages 179-193, February.
  11. Sonmez, Tayfun, 1997. "Manipulation via Capacities in Two-Sided Matching Markets," Journal of Economic Theory, Elsevier, vol. 77(1), pages 197-204, November.
  12. Roth, Alvin E & Sotomayor, Marilda, 1989. "The College Admissions Problem Revisited," Econometrica, Econometric Society, vol. 57(3), pages 559-570, May.
  13. Roth, Alvin E & Vande Vate, John H, 1991. "Incentives in Two-Sided Matching with Random Stable Mechanisms," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(1), pages 31-44, January.
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Cited by:

  1. Klaus, Bettina & Klijn, Flip, 2016. "Equilibria of deferred acceptance with complete lists," Economics Letters, Elsevier, vol. 144(C), pages 98-101.
  2. David Pérez-Castrillo & Marilda Sotomayor, 2016. "The Outcome of Competitive Equilibrium Rules In Buyer-seller Markets When the Agents Play Strategically," Working Papers 877, Barcelona Graduate School of Economics.

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