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Condensed Matter > Statistical Mechanics

Title: Statistics of stable marriages

Abstract: 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.
Comments: 7 pages, 6 figures; to appear in Physica A
Subjects: Statistical Mechanics (cond-mat.stat-mech)
Journal reference: Physica A 287, 321 (2000)
DOI: 10.1016/S0378-4371(00)00344-7
Cite as: arXiv:cond-mat/0007321 [cond-mat.stat-mech]
  (or arXiv:cond-mat/0007321v1 [cond-mat.stat-mech] for this version)

Submission history

From: Michael Dzierzawa [view email]
[v1] Thu, 20 Jul 2000 12:51:06 GMT (41kb)