Statistical properties and network structure of the marriage problem

Sebastián Bouzat and Damián H. Zanette

Physica A: Statistical Mechanics and its Applications, 2007, vol. 380, issue C, 539-551

Abstract: We study the statistical properties of the distribution of total energies (or costs) over the set of N! configurations for the marriage problem with N men and N women. Analytical results and exhaustive numerical calculations for the whole configuration space are presented, taking into account several definitions of the individual energies. The distribution of the minimal energy is evaluated approximately. Moreover, we point out a natural association between the configuration space of the marriage problem and a network. We study the topological and metric properties of this network, as well as the distribution of local energy minima on it.

Keywords: Marriage problem; Optimization; Network structure (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:380:y:2007:i:c:p:539-551

DOI: 10.1016/j.physa.2007.02.093

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