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Heider balance, asymmetric ties, and gender segregation

Author

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  • Krawczyk, Małgorzata J.
  • del Castillo-Mussot, Marcelo
  • Hernández-Ramírez, Eric
  • Naumis, Gerardo G.
  • Kułakowski, Krzysztof

Abstract

To remove a cognitive dissonance in interpersonal relations, people tend to divide their acquaintances into friendly and hostile parts, both groups internally friendly and mutually hostile. This process is modeled as an evolution toward the Heider balance. A set of differential equations have been proposed and validated (Kułakowski et al., 2005) to model the Heider dynamics of this social and psychological process. Here we generalize the model by including the initial asymmetry of the interpersonal relations and the direct reciprocity effect which removes this asymmetry. Our model is applied to the data on enmity and friendship in 37 school classes and 4 groups of teachers in México. For each class, a stable balanced partition is obtained into two groups. The gender structure of the groups reveals stronger gender segregation in younger classes, i.e. of age below 12 years, a fact consistent with other general empirical results.

Suggested Citation

  • Krawczyk, Małgorzata J. & del Castillo-Mussot, Marcelo & Hernández-Ramírez, Eric & Naumis, Gerardo G. & Kułakowski, Krzysztof, 2015. "Heider balance, asymmetric ties, and gender segregation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 439(C), pages 66-74.
    • Handle: RePEc:eee:phsmap:v:439:y:2015:i:c:p:66-74
    DOI: 10.1016/j.physa.2015.07.027
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    References listed on IDEAS

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    1. Rodrigo Huerta-Quintanilla & Efrain Canto-Lugo & Dolores Viga-de Alva, 2013. "Modeling Social Network Topologies in Elementary Schools," PLOS ONE, Public Library of Science, vol. 8(2), pages 1-9, February.
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    Cited by:

    1. Malarz, Krzysztof & Kułakowski, Krzysztof, 2021. "Heider balance of a chain of actors as dependent on the interaction range and a thermal noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    2. Krawczyk, Malgorzata J. & Kułakowski, Krzysztof, 2022. "Structural balance in one time step," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
    3. Hassanibesheli, Forough & Hedayatifar, Leila & Gawroński, Przemysław & Stojkow, Maria & Żuchowska-Skiba, Dorota & Kułakowski, Krzysztof, 2017. "Gain and loss of esteem, direct reciprocity and Heider balance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 468(C), pages 334-339.

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