Non-revelation mechanisms in many-to-one markets
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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- José Alcalde Pérez & Antonio Romero-Medina, 1996.
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- 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.
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- 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.
- Romero-Medina, Antonio & Alcalde, J., 1999.
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UC3M Working papers. Economics
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- Alcalde, Jose & Romero-Medina, Antonio, 2005. "Sequential decisions in the college admissions problem," Economics Letters, Elsevier, vol. 86(2), pages 153-158, February.
- 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).
- Triossi, Matteo, 2009. "Hiring mechanisms, application costs and stability," Games and Economic Behavior, Elsevier, vol. 66(1), pages 566-575, May.
- Balinski, Michel & Sonmez, Tayfun, 1999. "A Tale of Two Mechanisms: Student Placement," Journal of Economic Theory, Elsevier, vol. 84(1), pages 73-94, January.
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