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arxiv: cond-mat/0007321 · v1 · submitted 2000-07-20 · ❄️ cond-mat.stat-mech

Statistics of stable marriages

classification ❄️ cond-mat.stat-mech
keywords stablewomenanalyticalconstraintgeneralizationsincludinginvestigatedlarge
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In the stable marriage problem N men and N women have to be matched by pairs under the constraint that the resulting matching is stable. We study the statistical properties of stable matchings in the large N limit using both numerical and analytical methods. Generalizations of the model including singles and unequal numbers of men and women are also investigated.

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