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Published at November 22Ex-post Stability under Two-Sided Matching: Complexity and Characterization
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cs.CC
Released Date: November 22, 2024
Authors: Haris Aziz1, Gergely Csáji2, Péter Biró
Aff.: 1UNSW Sydney, Australia; 2Institute of Economics, HUN-REN KRTK, Hungary; Eötvös Lóránd Science University, Hungary

| ex-post | ex-post strong | robust ex-post | |
|---|---|---|---|
| stability | stability | stability | |
| Restriction | |||
| strict prefs, strict priorities | in P [41] | in P (Th 6.2) | in P (Th 6.1) |
| dichotomous prefs, dichotomous priorities | NP-complete (Th 5.2) | in P (Th 6.2) | in P (Th 6.1) |
| strict prefs, dichotomous priorities | NP-complete (Th 5.1) | iin P (Th 6.2) | in P (Th 6.1) |
| dichotomous prefs, strict priorities | NP-complete (Th 5.1) | in P (Th 6.2) | in P (Th 6.1) |
| no restrictions | NP-complete (Th 5.2) | in P (Th 6.2) | in P (Th 6.1) |