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Complementarities in childcare allocation under priorities

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  • Ata Atay
  • Antonio Romero-Medina

Abstract

We investigate the allocation of children to childcare facilities and propose solutions to overcome limitations in the current allocation mechanism. We introduce a natural preference domain and a priority structure that address these setbacks, aiming to enhance the allocation process. To achieve this, we present an adaptation of the Deferred Acceptance mechanism to our problem, which ensures strategy-proofness within our preference domain and yields the student-optimal stable matching. Finally, we provide a maximal domain for the existence of stable matchings using the properties that define our natural preference domain. Our results have practical implications for allocating indivisible bundles with complementarities.

Suggested Citation

  • Ata Atay & Antonio Romero-Medina, 2023. "Complementarities in childcare allocation under priorities," Papers 2308.14689, arXiv.org.
    • Handle: RePEc:arx:papers:2308.14689
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    References listed on IDEAS

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    1. Pereyra, Juan Sebastián, 2013. "A dynamic school choice model," Games and Economic Behavior, Elsevier, vol. 80(C), pages 100-114.
    2. John Kennes & Daniel Monte & Norovsambuu Tumennasan, 2019. "Strategic Performance of Deferred Acceptance in Dynamic Matching Problems," American Economic Journal: Microeconomics, American Economic Association, vol. 11(2), pages 55-97, May.
    3. Nguyen, Thành & Peivandi, Ahmad & Vohra, Rakesh, 2016. "Assignment problems with complementarities," Journal of Economic Theory, Elsevier, vol. 165(C), pages 209-241.
    4. Itai Feigenbaum & Yash Kanoria & Irene Lo & Jay Sethuraman, 2020. "Dynamic Matching in School Choice: Efficient Seat Reassignment After Late Cancellations," Management Science, INFORMS, vol. 66(11), pages 5341-5361, November.
    5. John Kennes Jr. & Daniel Monte Jr. & Norovsambuu Tumennasan Jr., 2014. "The Day Care Assignment: A Dynamic Matching Problem," American Economic Journal: Microeconomics, American Economic Association, vol. 6(4), pages 362-406, November.
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