Competitive balance theory: Modeling conflict of interest in a heterogeneous network

Oloomi, F.; Masoumi, R.; Karimipour, K.; Hosseiny, Ali; Jafari, G. R.

doi:10.1103/physreve.103.022307

Cited by 12 publications

(20 citation statements)

References 25 publications

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“…Consequently, there have been two main trends in the literature of SBT: 1) Studying the analytical aspects theoretically [19,[29][30][31][32][33][34][35], 2) Applying it to a wide variety of real-signed social, economic, ecologic, and political networks empirically to clarify their structures [36][37][38][39][40][41][42][43]. Amongst these applications, it should be mentioned that understanding the structure entirely, not partially, calls for considering not only short-range interactions but also longer-range cycles [44][45][46][47].…”

Section: Introductionmentioning

confidence: 99%

The structure balance of gene-gene networks beyond pairwise interactions

Allahyari

Kargaran

Hosseiny

et al. 2021

Preprint

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Despite its high and direct impact on nearly all biological processes, the underlying structure of gene-gene interaction networks is investigated so far according to pair connections. To address this, we explore the gene interaction networks of the yeast Saccharomyces cerevisiae beyond pairwise interaction using the structural balance theory (SBT). Specifically, we ask whether essential and nonessential gene interaction networks are structurally balanced. We study triadic interactions in the weighted signed undirected gene networks and observe that balanced and unbalanced triads are over and underrepresented in both networks, thus beautifully in line with the strong notion of balance. Moreover, we note that the energy distribution of triads is significantly different in both essential and nonessential networks compared with the shuffled networks. Yet, this difference is greater in the essential network regarding the frequency as well as the energy of triads. Additionally, results demonstrate that triads in the essential gene network are more interconnected through sharing common links, while in the nonessential network they tend to be isolated. Last but not least, we investigate the contribution of all-length signed walks and its impact on the degree of balance. Our findings reveal that interestingly when considering longer cycles the nonessential gene network is more balanced compared to the essential network.

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Section: Introductionmentioning

confidence: 99%

The structure balance of gene-gene networks beyond pairwise interactions

Allahyari

Kargaran

Hosseiny

et al. 2021

Preprint

Self Cite

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“…Throughout the years, many studies have introduced augmentations to Heider's original formulation of balance theory [10,11,12,13,14,15,16]. In this regard, the Competitive balance model [17] has been proposed as an extension to the balance model to address the heterogeneity in relationships. To this end, this model includes two different types of friendship and enmity.…”

Section: Introductionmentioning

confidence: 99%

“…As an example, on the international level, coalitions can form based on geographical interests or religious ones. The dynamic of this model has been studied in a symmetrical condition and in the absence of the external force [17]. In this paper, we study the dynamics of the competitive balance model in the presence of an external field.…”

Section: Introductionmentioning

confidence: 99%

“…Thus, various factors are influential in the formation of coalitions. The competitive balance model aims to enrich balance theory to cover such heterogeneity and highlight the fact that there are conflicts of interest in socio-political networks [17]. In this model, two different interests form two different types of friendship or enmity.…”

Section: Introductionmentioning

confidence: 99%

“…The evolution of such networks has been studied in Ref. [17]. It has been shown, while the edges switch their type (using Monte Carlo simulation) to minimize the energy, the symmetry is spontaneously broken and in the end, only one type of link (real or imaginary) prevails in the network.…”

Section: Introductionmentioning

confidence: 99%

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The response of the competitive balance model to the external field

Oloomi¹,

Kargaran²,

Hosseiny³

et al. 2021

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The competitive balance model was proposed as an extension of the balance theory to address heterogeneities in real-world networks. In this model, different paradigms lead to form different friendship and enmity. As an example, friendship or enmity between countries can have a political or religious basis. The suggested Hamiltonian is symmetrical between paradigms. In this paper, we investigate the influence of the external field on the evolution of the network. We drive the mean-field solutions of the model and verify the accuracy of our analytical solutions by performing Monte-Carlo simulations. We observe that the external field breaks the symmetry of the system. The response of the system to the external field, depending on the temperature, is paramagnetic or ferromagnetic. Similar to the magnetic systems, susceptibility follows Curie's law. We also observed a hysteresis behavior. Once communities are formed based on a certain paradigm, then they resist change.

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