School Choice with Unobservable Matchings

Ana Mauleon () and Vincent Vannetelbosch ()
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Ana Mauleon: Université catholique de Louvain, LIDAM/CORE, Belgium
Vincent Vannetelbosch: Université catholique de Louvain, LIDAM/CORE, Belgium

No 2025007, LIDAM Discussion Papers CORE from Université catholique de Louvain, Center for Operations Research and Econometrics (CORE)

Abstract: We consider priority-based school choice problems where students can form two types of matches: public matches observed by everyone and private matches generally not observed by others. We introduce the notion of rationalizable conjectural stable (RCS) matching, which generalizes Gale and Shapley (1962)’s stability notion to accommodate private matches. We partially characterize RCS matchings and we show that the Efficiency-Adjusted Deferred Acceptance (EADA) matching is RCS when private and public matches are perfect substitutes. Finally, we extend the definition of RCS matching to school choice problems when private and public matches are imperfect substitutes.

Keywords: School choice; Private information; Private matchings; Stability; Rationalizability (search for similar items in EconPapers)
JEL-codes: C70 C78 D82 (search for similar items in EconPapers)
Pages: 31
Date: 2025-03-20
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