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Gain and loss of esteem, direct reciprocity and Heider balance

Author

Listed:
  • Hassanibesheli, Forough
  • Hedayatifar, Leila
  • Gawroński, Przemysław
  • Stojkow, Maria
  • Żuchowska-Skiba, Dorota
  • Kułakowski, Krzysztof

Abstract

The effect of gain and loss of esteem is introduced into the equations of time evolution of social relations, hostile or friendly, in a group of actors. The equations allow for asymmetric relations. We prove that in the presence of this asymmetry, the majority of stable solutions are jammed states, i.e. the Heider balance is not attained there. A phase diagram is constructed with three phases: the jammed phase, the balanced phase with two mutually hostile groups, and the phase of so-called paradise, where all relations are friendly.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:phsmap:v:468:y:2017:i:c:p:334-339
    DOI: 10.1016/j.physa.2016.10.091
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    References listed on IDEAS

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    1. 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.
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    Cited by:

    1. Sheykhali, Somaye & Darooneh, Amir Hossein & Jafari, Gholam Reza, 2020. "Partial balance in social networks with stubborn links," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 548(C).
    2. 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).
    3. Hedayatifar, L. & Hassanibesheli, F. & Shirazi, A.H. & Vasheghani Farahani, S. & Jafari, G.R., 2017. "Pseudo paths towards minimum energy states in network dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 483(C), pages 109-116.

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    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).

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