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This analysis delves into the 1952 Boston Pool Plan, utilized in the Central Application Service for Podiatric Residencies. Specifically, it examines the deferred acceptance algorithm presented by Roth in 1984 and explores a hypothetical scenario where a student lists only Hospital 1 that doesn't rank the student, while Hospital 2 ranks the student first. This situation raises questions about placement outcomes under the algorithm, shedding light on strategic decision-making in residency applications.
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The 1952 NIMP (Boston Pool Plan) deferred acceptance algorithm (from Roth, 1984)
What would happen to a student who listed only Hospital 1, which doesn’t rank him anywhere on its list, and was ranked only by hospital 2 (which ranks him first)?