Publication: Non-revelation mechanisms in many-to-one markets
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2010-09
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Abstract
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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Stable matching, Subgame perfect Nash equilibrium