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<p>We study the many-to-one matching problem with complementarities. Real-life examples include college admissions with two-sided monetary transfers, faculty recruitment with differentiated teaching loads, and worker assignment with various shifts. Due to the presence of complementarities, the conditions that are essential for the existence of a stable allocation may fail. Despite this failure, we provide conditions to guarantee the existence of a stable allocation in our setting.</p>

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College admissions with budget complementarities

  • 期刊论文

  • 发表日期：

    2026年1月26日

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  • Azar Abizada,
  • Umut Dur

摘要

We study the many-to-one matching problem with complementarities. Real-life examples include college admissions with two-sided monetary transfers, faculty recruitment with differentiated teaching loads, and worker assignment with various shifts. Due to the presence of complementarities, the conditions that are essential for the existence of a stable allocation may fail. Despite this failure, we provide conditions to guarantee the existence of a stable allocation in our setting.