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Dynamics of two-group conflicts: A statistical physics model

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  • Diep, H.T.
  • Kaufman, Miron
  • Kaufman, Sanda

Abstract

We propose a “social physics” model for two-group conflict. We consider two disputing groups. Each individual i in each of the two groups has a preference si regarding the way in which the conflict should be resolved. The individual preferences span a range between +M (prone to protracted conflict) and −M (prone to settle the conflict). The noise in this system is quantified by a “social temperature”. Individuals interact within their group and with individuals of the other group. A pair of individuals (i,j) within a group contributes -si∗sj to the energy. The inter-group energy of individual i is taken to be proportional to the product between si and the mean value of the preferences from the other group’s members. We consider an equivalent-neighbor Renyi–Erdos network where everyone interacts with everyone. We present some examples of conflicts that may be described with this model.

Suggested Citation

  • Diep, H.T. & Kaufman, Miron & Kaufman, Sanda, 2017. "Dynamics of two-group conflicts: A statistical physics model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 183-199.
    • Handle: RePEc:eee:phsmap:v:469:y:2017:i:c:p:183-199
    DOI: 10.1016/j.physa.2016.10.072
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    References listed on IDEAS

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    1. Iván Y Fernández-Rosales & Larry S Liebovitch & Lev Guzmán-Vargas, 2015. "The Dynamic Consequences of Cooperation and Competition in Small-World Networks," PLOS ONE, Public Library of Science, vol. 10(4), pages 1-13, April.
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    Cited by:

    1. Diep, Hung T. & Desgranges, Gabriel, 2021. "Dynamics of the price behavior in stock markets: A statistical physics approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).
    2. Zubillaga, Bernardo J. & Vilela, André L.M. & Wang, Chao & Nelson, Kenric P. & Stanley, H. Eugene, 2022. "A three-state opinion formation model for financial markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).
    3. Kaufman, Miron & Diep, Hung T. & Kaufman, Sanda, 2019. "Sociophysics of intractable conflicts: Three-group dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 175-187.
    4. Belaza, Andres M. & Ryckebusch, Jan & Bramson, Aaron & Casert, Corneel & Hoefman, Kevin & Schoors, Koen & van den Heuvel, Milan & Vandermarliere, Benjamin, 2019. "Social stability and extended social balance—Quantifying the role of inactive links in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 518(C), pages 270-284.
    5. Ekaterina V. Orlova, 2024. "A Novel Brillouin and Langevin Functions Dynamic Model for Two Conflicting Social Groups: Study of R&D Processes," Mathematics, MDPI, vol. 12(17), pages 1-26, September.

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