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Implementation of stable solutions in a restricted matching market

Author

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  • Antonio Romero-Medina

    () (Departament of Economics, University of California, Riverside, CA 92521, USA)

Abstract

I analyze the admission mechanism used in Spanish universities. The system is open to strategic manipulation. This is because students are not allowed to express the whole list of available options. However, the mechanism implements the set of stable matchings in Nash equilibrium and the student's optimum in strong equilibrium. The mechanism also implements the students' optimum, in Nash equilibrium, under the class of "non-reverse" preferences. All these properties come from the fact that colleges do not have the opportunity to misrepresent their preferences.

Suggested Citation

  • Antonio Romero-Medina, 1998. "Implementation of stable solutions in a restricted matching market," Review of Economic Design, Springer;Society for Economic Design, vol. 3(2), pages 137-147.
  • Handle: RePEc:spr:reecde:v:3:y:1998:i:2:p:137-147
    Note: Received: 30 June 1995 / Accepted: 31 January 1997
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    Citations

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    Cited by:

    1. Kóczy Á., László, 2010. "A magyarországi felvételi rendszerek sajátosságai
      [Specific features of Hungarys system of school and university admissions]
      ," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(2), pages 142-164.
    2. repec:spr:empeco:v:52:y:2017:i:4:d:10.1007_s00181-016-1121-5 is not listed on IDEAS
    3. Alcalde, Jose & Romero-Medina, Antonio, 2000. "Simple Mechanisms to Implement the Core of College Admissions Problems," Games and Economic Behavior, Elsevier, vol. 31(2), pages 294-302, May.
    4. Ehlers, Lars & Massó, Jordi, 2015. "Matching markets under (in)complete information," Journal of Economic Theory, Elsevier, vol. 157(C), pages 295-314.
    5. Haeringer, Guillaume & Klijn, Flip, 2009. "Constrained school choice," Journal of Economic Theory, Elsevier, vol. 144(5), pages 1921-1947, September.
    6. Romero-Medina, Antonio & Mora, Ricardo, 2001. "Understanding preference formation in a matching market," UC3M Working papers. Economics we015919, Universidad Carlos III de Madrid. Departamento de Economía.
    7. Fack, Gabrielle & Grenet, Julien & He, Yinghua, 2015. "Beyond Truth-Telling: Preference Estimation with Centralized School Choice," CEPR Discussion Papers 10907, C.E.P.R. Discussion Papers.
    8. 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.
    9. 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.
    10. Fack, Gabrielle & Grenet, Julien & He, Yinghua, 2015. "Beyond Truth-Telling: Preference Estimation with Centralized School Choice and College Admissions," TSE Working Papers 15-607, Toulouse School of Economics (TSE), revised Sep 2017.
    11. Kóczy Á., László, 2009. "Központi felvételi rendszerek. Taktikázás és stabilitás
      [Central admission systems. Stratagems and stability]
      ," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(5), pages 422-442.
    12. Ruth Martínez & Jordi Massó & Alejdanro Neme & Jorge Oviedo, 2004. "On group strategy-proof mechanisms for a many-to-one matching model," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(1), pages 115-128, January.
    13. Alcalde, Jose & Romero-Medina, Antonio, 2005. "Sequential decisions in the college admissions problem," Economics Letters, Elsevier, vol. 86(2), pages 153-158, February.
    14. Péter Biró & Sofya Kiselgof, 2015. "College admissions with stable score-limits," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(4), pages 727-741, December.
    15. Sotomayor, Marilda, 2004. "Implementation in the many-to-many matching market," Games and Economic Behavior, Elsevier, vol. 46(1), pages 199-212, January.
    16. Ehlers, Lars, 2004. "In search of advice for participants in matching markets which use the deferred-acceptance algorithm," Games and Economic Behavior, Elsevier, vol. 48(2), pages 249-270, August.
    17. Andre Veski & Kaire Põder, 2016. "Strategies in the Tallinn School Choice Mechanism," Research in Economics and Business: Central and Eastern Europe, Tallinn School of Economics and Business Administration, Tallinn University of Technology, vol. 8(1).

    More about this item

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity

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