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Non-revelation mechanisms in many-to-one markets

  • Romero-Medina, Antonio
  • Triossi, Matteo

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/handle/10016/9275/we1018.pdf?sequence=1
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Paper provided by Universidad Carlos III de Madrid. Departamento de Economía in its series UC3M Working papers. Economics with number we1018.

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Date of creation: Sep 2010
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Handle: RePEc:cte:werepe:we1018
Contact details of provider: Web page: http://www.eco.uc3m.es/

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  1. Romero-Medina, Antonio & Alcalde, J., 1999. "Simple mechanisms to implement the core of college admissions problems," UC3M Working papers. Economics 6124, Universidad Carlos III de Madrid. Departamento de Economía.
  2. Alcalde, Jose & Romero-Medina, Antonio, 2005. "Sequential decisions in the college admissions problem," Economics Letters, Elsevier, vol. 86(2), pages 153-158, February.
  3. Marilda Sotomayor, 2003. "Reaching the core of the marriage market through a non-revelation matching mechanism," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(2), pages 241-251, December.
  4. Guillaume Haeringer & Myrna Wooders, 2003. "Decentralised Job Matching," Working Papers 2003.114, Fondazione Eni Enrico Mattei.
  5. Balinski, Michel & Sonmez, Tayfun, 1999. "A Tale of Two Mechanisms: Student Placement," Journal of Economic Theory, Elsevier, vol. 84(1), pages 73-94, January.
  6. Triossi, Matteo, 2009. "Hiring mechanisms, application costs and stability," Games and Economic Behavior, Elsevier, vol. 66(1), pages 566-575, May.
  7. 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.
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