A polyhedral characterization of worker-quasi-stable matchings

Nadia Gui\~naz\'u, Noelia Juarez, Paola Manasero, Pablo Neme and Jorge Oviedo

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Abstract: We provide the first polyhedral characterization of worker-quasi-stable matchings in the classical one-to-one matching model. By modifying the classical stability constraints, we introduce a convex polytope and prove that it is integral. Consequently, its extreme points coincide exactly with the incidence vectors of worker-quasi-stable matchings, demonstrating that worker-quasi-stability preserves the geometric tractability of standard stability.

Date: 2026-09
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