Statistics of stable marriages

Details Statistics of stable marriages Statistics of stable marriages

2000-07-20

arxiv.org/abs/cond-mat/0007321v1

Physica A 287, 321 (2000)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 6 figures; to appear in Physica A

Scientific paper

10.1016/S0378-4371(00)00344-7

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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