IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v548y2020ics0378437119321557.html
   My bibliography  Save this article

Partial balance in social networks with stubborn links

Author

Listed:
  • Sheykhali, Somaye
  • Darooneh, Amir Hossein
  • Jafari, Gholam Reza

Abstract

Structural balance theory affirms that in signed social networks with simultaneous friendly/hostile interactions, there is a general tendency of evolving to reduce the tensions. From this perspective, individuals iteratively invert their sentiments to reduce the felt tensions induced by imbalance. Each agent in a signed network has a mixture of positive and negative links representing friendly or antagonistic interactions and his stubbornness about interactions. We define stubbornness as an extreme antagonistic interaction that is resistant to change. In the current paper, we investigate if the presence of stubborn links renders an impact on the balanced state of the network and whether or not the degree of balance in a signed network depends on the location of stubborn links. Our results show that a poorly balanced configuration consists of multiple antagonistic groups. Both analytical and simulation results demonstrate that the global level of balance of the network is more influenced by the locations of stubborn links in the resulting network topology than by the fraction of stubborn links. This means that even with a large fraction of stubborn links the network would evolve towards a balanced state. On the other hand, if a small fraction of stubborn links are clustered in five stubborn communities, the network evolves into an unbalanced state.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:phsmap:v:548:y:2020:i:c:s0378437119321557
    DOI: 10.1016/j.physa.2019.123882
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119321557
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2019.123882?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. repec:cup:cbooks:9780511771576 is not listed on IDEAS
    2. Du, Haifeng & He, Xiaochen & Wang, Shanfeng & Gong, Maoguo & Feldman, Marcus W., 2017. "Optimizing transformations of structural balance in signed networks with potential relationships," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 414-424.
    3. Zhen Liu & Jia-Lin He & Komal Kapoor & Jaideep Srivastava, 2013. "Correlations between Community Structure and Link Formation in Complex Networks," PLOS ONE, Public Library of Science, vol. 8(9), pages 1-10, September.
    4. Cameron, A. Colin & Gelbach, Jonah B. & Miller, Douglas L., 2011. "Robust Inference With Multiway Clustering," Journal of Business & Economic Statistics, American Statistical Association, vol. 29(2), pages 238-249.
    5. 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.
    6. Du, Haifeng & He, Xiaochen & Wang, Jingjing & Feldman, Marcus W., 2018. "Reversing structural balance in signed networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 780-792.
    7. 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.
    8. Yong-Yeol Ahn & James P. Bagrow & Sune Lehmann, 2010. "Link communities reveal multiscale complexity in networks," Nature, Nature, vol. 466(7307), pages 761-764, August.
    9. Easley,David & Kleinberg,Jon, 2010. "Networks, Crowds, and Markets," Cambridge Books, Cambridge University Press, number 9780521195331, September.
    10. 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.
    11. Takamitsu Watanabe & Naoki Masuda & Fukuda Megumi & Ryota Kanai & Geraint Rees, 2014. "Energy landscape and dynamics of brain activity during human bistable perception," Nature Communications, Nature, vol. 5(1), pages 1-11, December.
    12. Andres M Belaza & Kevin Hoefman & Jan Ryckebusch & Aaron Bramson & Milan van den Heuvel & Koen Schoors, 2017. "Statistical physics of balance theory," PLOS ONE, Public Library of Science, vol. 12(8), pages 1-19, August.
    13. Pablo G. Debenedetti & Frank H. Stillinger, 2001. "Supercooled liquids and the glass transition," Nature, Nature, vol. 410(6825), pages 259-267, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Muange, Elijah N. & Schwarze, Stefan & Qaim, Matin, 2014. "Social networks and farmer exposure to improved crop varieties in Tanzania," GlobalFood Discussion Papers 183635, Georg-August-Universitaet Goettingen, GlobalFood, Department of Agricultural Economics and Rural Development.
    2. Xiaohui Hou & Bo Wang & Yu Gao, 2020. "Stakeholder Protection, Public Trust, and Corporate Social Responsibility: Evidence from Listed SMEs in China," Sustainability, MDPI, vol. 12(15), pages 1-25, July.
    3. 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.
    4. Muange, Elijah Nzula & Schwarze, Stefan & Qaim, Matin, 2014. "Social networks and farmer exposure to improved cereal varieties in central Tanzania," 2014 International Congress, August 26-29, 2014, Ljubljana, Slovenia 182645, European Association of Agricultural Economists.
    5. Andres M Belaza & Jan Ryckebusch & Koen Schoors & Luis E C Rocha & Benjamin Vandermarliere, 2020. "On the connection between real-world circumstances and online player behaviour: The case of EVE Online," PLOS ONE, Public Library of Science, vol. 15(10), pages 1-15, October.
    6. Schweitzer, Frank, 2022. "Group relations, resilience and the I Ching," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    7. Nastaran Allahyari & Amir Kargaran & Ali Hosseiny & G R Jafari, 2022. "The structure balance of gene-gene networks beyond pairwise interactions," PLOS ONE, Public Library of Science, vol. 17(3), pages 1-18, March.
    8. Du, Haifeng & He, Xiaochen & Wang, Jingjing & Feldman, Marcus W., 2018. "Reversing structural balance in signed networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 780-792.
    9. Lindo, Jason M. & Padilla-Romo, María, 2018. "Kingpin approaches to fighting crime and community violence: Evidence from Mexico's drug war," Journal of Health Economics, Elsevier, vol. 58(C), pages 253-268.
    10. Blazquez-Soriano, Amparo & Ramos-Sandoval, Rosmery, 2022. "Information transfer as a tool to improve the resilience of farmers against the effects of climate change: The case of the Peruvian National Agrarian Innovation System," Agricultural Systems, Elsevier, vol. 200(C).
    11. Seiffert, Sebastian, 2015. "The Role of Economic Geography in Subnational African Development," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113186, Verein für Socialpolitik / German Economic Association.
    12. Claudia Buch & Catherine Koch & Michael Koetter, 2016. "Crises and rescues: liquidity transmission through international banks," BIS Working Papers 576, Bank for International Settlements.
    13. Yue Zhao & Difang Wan, 2018. "Institutional high frequency trading and price discovery: Evidence from an emerging commodity futures market," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 38(2), pages 243-270, February.
    14. Leon Zolotoy & Don O’Sullivan & Keke Song, 2021. "The Role of Ethical Standards in the Relationship Between Religious Social Norms and M&A Announcement Returns," Journal of Business Ethics, Springer, vol. 170(4), pages 721-742, May.
    15. Martin L. Weitzman, 2015. "A Voting Architecture for the Governance of Free-Driver Externalities, with Application to Geoengineering," Scandinavian Journal of Economics, Wiley Blackwell, vol. 117(4), pages 1049-1068, October.
    16. Rute M. Caeiro & Pedro C. Vicente, 2020. "Knowledge of vitamin A deficiency and crop adoption: Evidence from a field experiment in Mozambique," Agricultural Economics, International Association of Agricultural Economists, vol. 51(2), pages 175-190, March.
    17. Francis,David C. & Kubinec ,Robert, 2022. "Beyond Political Connections : A Measurement Model Approach to Estimating Firm-levelPolitical Influence in 41 Economies," Policy Research Working Paper Series 10119, The World Bank.
    18. Anil Kumar, 2018. "Do Restrictions on Home Equity Extraction Contribute to Lower Mortgage Defaults? Evidence from a Policy Discontinuity at the Texas Border," American Economic Journal: Economic Policy, American Economic Association, vol. 10(1), pages 268-297, February.
    19. Angrisani Marco & Guarino Antonio & Huck Steffen & Larson Nathan C, 2011. "No-Trade in the Laboratory," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 11(1), pages 1-58, April.
    20. Alfredo Burlando & Anca D. Cristea & Logan M. Lee, 2015. "The Trade Consequences of Maritime Insecurity: Evidence from Somali Piracy," Review of International Economics, Wiley Blackwell, vol. 23(3), pages 525-557, August.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:548:y:2020:i:c:s0378437119321557. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.