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Beauty and distance in the stable marriage problem

Author

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  • Caldarelli, G.
  • Capocci, A.

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.

Suggested Citation

  • Caldarelli, G. & Capocci, A., 2001. "Beauty and distance in the stable marriage problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 300(1), pages 325-331.
    • Handle: RePEc:eee:phsmap:v:300:y:2001:i:1:p:325-331
    DOI: 10.1016/S0378-4371(01)00327-2
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    Citations

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    Cited by:

    1. James Boudreau & Vicki Knoblauch, 2013. "Preferences and the price of stability in matching markets," Theory and Decision, Springer, vol. 74(4), pages 565-589, April.
    2. André Veski & Kaire Põder, 2018. "Zero-intelligence agents looking for a job," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 13(3), pages 615-640, October.
    3. Janine Balter & Michela Rancan & Olena Senyuta, 2014. "Truncation in the Matching Markets and Market Ineffciency," RSCAS Working Papers 2014/04, European University Institute.
    4. Ortega, Josué, 2018. "Social integration in two-sided matching markets," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 119-126.
    5. E. M. Parilina & A. Tampieri, 2013. "Marriage Formation with Assortative Meeting as a Two-Sided Optimal Stopping Problem," Working Papers wp886, Dipartimento Scienze Economiche, Universita' di Bologna.
    6. Smith, David M.D. & Johnson, Neil F., 2006. "Pair formation within multi-agent populations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(1), pages 151-158.
    7. Schüssler, Reinhard & Seidel, Christian, 2010. "Gale Shapley auf dem Arbeitsmarkt," EconStor Preprints 55829, ZBW - Leibniz Information Centre for Economics.
    8. James W. Boudreau & Vicki Knoblauch, 2010. "Marriage Matching and Intercorrelation of Preferences," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 12(3), pages 587-602, June.
    9. repec:ebl:ecbull:v:3:y:2008:i:67:p:1-12 is not listed on IDEAS
    10. James Boudreau, 2008. "Preference Structure and Random Paths to Stability in Matching Markets," Economics Bulletin, AccessEcon, vol. 3(67), pages 1-12.
    11. Yi-Xiu Kong & Guang-Hui Yuan & Lei Zhou & Rui-Jie Wu & Gui-Yuan Shi, 2018. "Competition May Increase Social Utility in Bipartite Matching Problem," Complexity, Hindawi, vol. 2018, pages 1-7, November.
    12. Holzman, Ron & Samet, Dov, 2014. "Matching of like rank and the size of the core in the marriage problem," Games and Economic Behavior, Elsevier, vol. 88(C), pages 277-285.

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