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Computer Science > Computer Science and Game Theory

arXiv:2403.04530 (cs)
[Submitted on 7 Mar 2024]

Title:Multi-District School Choice: Playing on Several Fields

Authors:Yannai A. Gonczarowski, Michael Yin, Shirley Zhang
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Abstract:We extend the seminal model of Pathak and Sönmez (2008) to a setting with multiple school districts, each running its own separate centralized match, and focus on the case of two districts. In our setting, in addition to each student being either sincere or sophisticated, she is also either constrained - able to apply only to schools within her own district of residence - or unconstrained - able to choose any single district within which to apply. We show that several key results from Pathak and Sönmez (2008) qualitatively flip: A sophisticated student may prefer for a sincere student to become sophisticated, and a sophisticated student may prefer for her own district to use Deferred Acceptance over the Boston Mechanism, irrespective of the mechanism used by the other district. We furthermore investigate the preferences of students over the constraint levels of other students. Many of these phenomena appear abundantly in large random markets.
Subjects: Computer Science and Game Theory (cs.GT); Theoretical Economics (econ.TH)
Cite as: arXiv:2403.04530 [cs.GT]
  (or arXiv:2403.04530v1 [cs.GT] for this version)
  https://doi.org/10.48550/arXiv.2403.04530

Submission history

From: Shirley Zhang [view email]
[v1] Thu, 7 Mar 2024 14:28:28 UTC (20 KB)
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