Stable matching problem: Difference between revisions

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== Rural hospitals theorem ==
{{main|Rural hospitals theorem}}
The [[rural hospitals theorem]] concerns a more general variant of the stable matching problem, like that applying in the problem of matching doctors to positions at hospitals, differing in the following ways from the basic {{mvar|n}}-to-{{mvar|n}} form of the stable marriage problem:
*Each participant may only be willing to be matched to a subset of the participants on the other side of the matching.
*The participants on one side of the matching (the hospitals) may have a numerical capacity, specifying the number of doctors they are willing to hire.