Beauty and Distance in the Stable Marriage Problem

Details Beauty and Distance in the Stable Marriage Problem Beauty and Distance in the Stable Marriage Problem

2000-08-23

arxiv.org/abs/cond-mat/0008337v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, 3 figures, submitted to epl

Scientific paper

10.1016/S0378-4371(01)00327-2

The stable marriage problem has been introduced in order to describe a complex system where individuals attempt to optimise their own satisfaction, subject to mutually conflicting constraints. Due to the potential large applicability of such model to describe all the situation where different objects has to be matched pairwise, the statistical properties of this model have been extensively studied. In this paper we present a generalization of this model, introduced in order to take into account the presence of correlations in the lists and the effects of distance when the player are supposed to be represented by a position in space.

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