Robust Counterfactuals in Centralized Schools Choice Systems: Addressing Gender Inequality in STEM Education

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Auteurs principaux: Li, Lixiong, Mourifié, Ismaël
Format: Preprint
Publié: 2025
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author Li, Lixiong
Mourifié, Ismaël
author_facet Li, Lixiong
Mourifié, Ismaël
contents Counterfactual analysis is central to education market design and provides a foundation for credible policy recommendations. We develop a novel methodology for counterfactual analysis in Gale-Shapley deferred-acceptance (DA) assignment mechanisms under a weaker set of assumptions than those typically imposed in existing empirical works. Instead of fully specifying utility functions or students' beliefs about admission probabilities, we rely on interpretable restrictions on behavior that yield an incomplete but flexible model of preferences. This framework addresses the challenge of partial identification by delivering sharp bounds on counterfactual stable matching outcomes, which we compute efficiently using a combination of algorithmic techniques and integer programming. We illustrate the methodology by evaluating policies aimed at increasing female enrollment in STEM fields in Chile.
format Preprint
id arxiv_https___arxiv_org_abs_2512_08115
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Robust Counterfactuals in Centralized Schools Choice Systems: Addressing Gender Inequality in STEM Education
Li, Lixiong
Mourifié, Ismaël
Econometrics
Theoretical Economics
Counterfactual analysis is central to education market design and provides a foundation for credible policy recommendations. We develop a novel methodology for counterfactual analysis in Gale-Shapley deferred-acceptance (DA) assignment mechanisms under a weaker set of assumptions than those typically imposed in existing empirical works. Instead of fully specifying utility functions or students' beliefs about admission probabilities, we rely on interpretable restrictions on behavior that yield an incomplete but flexible model of preferences. This framework addresses the challenge of partial identification by delivering sharp bounds on counterfactual stable matching outcomes, which we compute efficiently using a combination of algorithmic techniques and integer programming. We illustrate the methodology by evaluating policies aimed at increasing female enrollment in STEM fields in Chile.
title Robust Counterfactuals in Centralized Schools Choice Systems: Addressing Gender Inequality in STEM Education
topic Econometrics
Theoretical Economics
url https://arxiv.org/abs/2512.08115