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Non-revelation mechanisms in many-to-one markets

  • Antonio Romero-Medina

    ()

  • Matteo Triossi

    ()

This paper presents a sequential admission mechanism where students are allowed to send multiple applications to colleges and colleges sequentially decide the applicants to enroll. The irreversibility of agents decisions and the sequential structure of the enrollments make truthful behavior a dominant strategy for colleges. Due to these features, the mechanism implements the set of stable matchings in Subgame Perfect Nash equilibrium. We extend the analysis to a mechanism where colleges make proposals to potential students and students decide sequentially. We show that this mechanism implements the stable set as well.

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File URL: http://e-archivo.uc3m.es/bitstream/10016/9275/1/we1018.pdf
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Paper provided by Universidad Carlos III, Departamento de Economía in its series Economics Working Papers with number we1018.

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Date of creation: Sep 2010
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Handle: RePEc:cte:werepe:we1018
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  1. Alejandra Mizala & Pilar Romaguera & Sebastian Gallegos, 2010. "Public-Private Wage Gap In Latin America (1999-2007): A Matching Approach," Documentos de Trabajo 268, Centro de Economía Aplicada, Universidad de Chile.
  2. Balinski, Michel & Sonmez, Tayfun, 1999. "A Tale of Two Mechanisms: Student Placement," Journal of Economic Theory, Elsevier, vol. 84(1), pages 73-94, January.
  3. Guillaume Haeringer & Myrna Wooders, 2011. "Decentralized job matching," International Journal of Game Theory, Springer, vol. 40(1), pages 1-28, February.
  4. José Alcalde & Antonio Romero Medina, 1999. "- Sequential Decisions In The College Admissions Problem," Working Papers. Serie AD 1999-16, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  5. 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.
  6. Marilda Sotomayor, 2003. "Reaching the core of the marriage market through a non-revelation matching mechanism," International Journal of Game Theory, Springer, vol. 32(2), pages 241-251, December.
  7. Triossi, Matteo, 2009. "Hiring mechanisms, application costs and stability," Games and Economic Behavior, Elsevier, vol. 66(1), pages 566-575, May.
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