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  Mean-field solution for critical behavior of signed networks in competitive balance theory

Masoumi, R., Oloomi, F., Kargaran, A., Hosseiny, A., & Jafari, G. (2020). Mean-field solution for critical behavior of signed networks in competitive balance theory. Physical Review E, (103): 052301. doi:10.1103/PhysRevE.103.052301.

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Masoumi, R, Author
Oloomi, F1, Author                 
Kargaran, A, Author
Hosseiny, A, Author
Jafari, GR, Author
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1External Organizations, ou_persistent22              

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 Abstract: The competitive balance model has been proposed as an extension to the balance model to address the conflict of interests in signed networks. In this model, two different paradigms or interests compete with each other to dominate the network’s relations and impose their own values. In this paper, using the mean-field method, we examine the thermal behavior of the competitive balance model. Our results show that under a certain temperature, the symmetry between two competing interests will spontaneously break which leads to a discrete phase transition. So, starting with a heterogeneous signed network, if agents aim to decrease tension stemming from competitive balance theory, evolution ultimately chooses only one of the existing interests and stability arises where one paradigm dominates the system. The critical temperature depends linearly on the number of nodes, which is a linear dependence in the thermal balance theory as well. Finally, the results obtained through the mean-field method are verified by a series of simulations.

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 Dates: 2021-05-042020-07-29
 Publication Status: Issued
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 Identifiers: DOI: 10.1103/PhysRevE.103.052301
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Title: Physical Review E
  Other : Phys. Rev. E
Source Genre: Journal
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Publ. Info: Melville, NY : American Physical Society
Pages: 7 Volume / Issue: (103) Sequence Number: 052301 Start / End Page: - Identifier: ISSN: 1539-3755
CoNE: https://pure.mpg.de/cone/journals/resource/954925225012