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The dynamics of coupled logistic social groups

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  • McCartney, Mark
  • Glass, David H.

Abstract

A society made up of a network of social groups is investigated. Each group is partitioned into two mutually exclusive subsets with the movement of members between the two subsets being modelled via a logistic-like equation. We consider various ways in which the groups in the network may influence each other, via both group size and the utility groups place on the possible subsets. Scenarios where social groups act as ‘agenda setters’ for the rest of the society are considered. A number of analytic and numerical results are presented.

Suggested Citation

  • McCartney, Mark & Glass, David H., 2015. "The dynamics of coupled logistic social groups," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 141-154.
    • Handle: RePEc:eee:phsmap:v:427:y:2015:i:c:p:141-154
    DOI: 10.1016/j.physa.2015.01.071
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    References listed on IDEAS

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    1. Ausloos, Marcel, 2012. "Econophysics of a religious cult: The Antoinists in Belgium [1920–2000]," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(11), pages 3190-3197.
    2. Bettencourt, Luís M.A. & Cintrón-Arias, Ariel & Kaiser, David I. & Castillo-Chávez, Carlos, 2006. "The power of a good idea: Quantitative modeling of the spread of ideas from epidemiological models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 364(C), pages 513-536.
    3. Vitanov, Nikolay K. & Dimitrova, Zlatinka I. & Ausloos, Marcel, 2010. "Verhulst–Lotka–Volterra (VLV) model of ideological struggle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4970-4980.
    4. Ausloos, M. & Petroni, F., 2009. "Statistical dynamics of religion evolutions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(20), pages 4438-4444.
    5. McCartney, Mark & Glass, David H., 2015. "A three-state dynamical model for religious affiliation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 145-152.
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    Cited by:

    1. Basak, Gopal K. & Das, Pranab Kumar & Rohit, Allena, 2019. "Coupled dynamics with an external system and application to international finance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 520(C), pages 409-432.
    2. Bălăcescu Aniela & Zaharia Radu Șerban, 2019. "Aspects of the Evolution of the Romanian Tourists’ Preferences Concerning the Domestic Tourist Destinations," Valahian Journal of Economic Studies, Sciendo, vol. 10(1), pages 21-28, July.

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