English

Complementarities in childcare allocation under priorities

Theoretical Economics 2023-08-29 v1 Computer Science and Game Theory

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.

Keywords

Cite

@article{arxiv.2308.14689,
  title  = {Complementarities in childcare allocation under priorities},
  author = {Ata Atay and Antonio Romero-Medina},
  journal= {arXiv preprint arXiv:2308.14689},
  year   = {2023}
}
R2 v1 2026-06-28T12:06:23.608Z