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Preference-inclusion Comparison under Partial Information

Student: Aida Takhmazova

Supervisor: Alexander S. Nesterov

Faculty: St.Petersburg School of Economics and Management

Educational Programme: Economics (Bachelor)

Year of Graduation: 2020

This paper examines the incentive properties of constrained versions of Deferred Acceptance (DA) and Boston (BM) mechanisms under partial information. Given partial information, each student knows only some part of the preferences of other students but this information can be enough for students to analyze possible assignments. We introduce a new criterion of comparison of mechanisms which is based on comparing obvious truthfulness of the mechanisms under partial information. We call a mechanism obviously truthful when for each student partial information is enough to see that the worst possible assignment under truthful report is no worse than the best possible assignment under any manipulation. Fixing partial information, the results show that constrained DA is obviously truthful in a larger set of profiles than constrained BM and that both mechanisms are obviously truthful in a larger set of profiles when the constraint increases. Without fixing partial information, we show that both constrained DA and constrained BM are obviously truthful in a larger set of profiles when there is more information available.

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