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Beauty and distance in the stable marriage problem

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  • Caldarelli, G.
  • Capocci, A.
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    Abstract

    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 generalisation of this model, introduced in order to take into account the presence of correlations in the lists and the effects of distance when the players are supposed to be represented by a position in space.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0378437101003272
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    Bibliographic Info

    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 300 (2001)
    Issue (Month): 1 ()
    Pages: 325-331

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    Handle: RePEc:eee:phsmap:v:300:y:2001:i:1:p:325-331

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    Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

    Related research

    Keywords: Game theory; Matching problem; Optimization;

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