Fictitious students creation incentives in school choice problems
Economic Theory, 2014, vol. 56, issue 3, 493-514
We identify a new channel through which schools can potentially manipulate the well-known student and school-optimal stable mechanisms. We introduce two fictitious students creation manipulation notions where one of them is stronger. While the student and school-optimal stable mechanisms turn out to be weakly fictitious student-proof under acyclic (Ergin in Econometrica 88:485–494, 2002 ) and essentially homogeneous (Kojima in Games Econ Behav 82:1–14, 2013 ) priority structures, respectively, they still lack strong fictitious student-proofness. We then compare the mechanisms in terms of their vulnerability to manipulations in the sense of Pathak and Sönmez (Am Econ Rev 103(1):80–106, 2013 ) and find out that the student-optimal stable mechanism is more manipulable than the school-optimal one. Lastly, in the large market setting of Kojima and Pathak (Am Econ Rev 99(3):608–627, 2009 ), the student-optimal stable mechanism becomes weakly fictitious student-proof as the market is getting large. Copyright Springer-Verlag Berlin Heidelberg 2014
Keywords: The student-optimal stable mechanism; The school-optimal stable mechanism; Fictitious students; Acyclicity; Essential homogeneity; Large market; C71; C78; D71; D78; J44 (search for similar items in EconPapers)
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