IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v517y2019icp175-187.html
   My bibliography  Save this article

Sociophysics of intractable conflicts: Three-group dynamics

Author

Listed:
  • Kaufman, Miron
  • Diep, Hung T.
  • Kaufman, Sanda

Abstract

We extend a sociophysics model of two-group conflict dynamics to three groups. The model with attractors and chaos is proposed as a tool for exploring and managing intractable conflicts. It can be used to generate scenarios of trajectories and outcomes. We use mean-field theory for long-range interactions to study the time dependence of the three groups’ mean attitudes. We find that at some intermediate temperatures the group mean attitudes oscillate in time. Independent of initial conditions, trajectories converge overtime to an attractor in the three-dimensional space of mean attitudes. We use Monte Carlo simulations to explore short-range group interactions and find chaotic unpredictable time variation of attitudes at high temperatures. For illustrative purposes we apply the model to the Bosnia and Herzegovina conflict.

Suggested Citation

  • Kaufman, Miron & Diep, Hung T. & Kaufman, Sanda, 2019. "Sociophysics of intractable conflicts: Three-group dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 175-187.
    • Handle: RePEc:eee:phsmap:v:517:y:2019:i:c:p:175-187
    DOI: 10.1016/j.physa.2018.11.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437118314110
    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.2018.11.003?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. David Liben‐Nowell & Jon Kleinberg, 2007. "The link‐prediction problem for social networks," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 58(7), pages 1019-1031, May.
    2. Liebovitch, Larry S. & Naudot, Vincent & Vallacher, Robin & Nowak, Andrzej & Bui-Wrzosinska, Lan & Coleman, Peter, 2008. "Dynamics of two-actor cooperation–competition conflict models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(25), pages 6360-6378.
    3. Alan Wilson, 1969. "Notes On Some Concepts In Social Physics," Papers in Regional Science, Wiley Blackwell, vol. 22(1), pages 159-193, January.
    4. Diep, H.T. & Kaufman, Miron & Kaufman, Sanda, 2017. "Dynamics of two-group conflicts: A statistical physics model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 183-199.
    5. Stanley, H.E & Amaral, L.A.N & Canning, D & Gopikrishnan, P & Lee, Y & Liu, Y, 1999. "Econophysics: Can physicists contribute to the science of economics?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 269(1), pages 156-169.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Diep, Hung T. & Desgranges, Gabriel, 2021. "Dynamics of the price behavior in stock markets: A statistical physics approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).
    2. Fetter, Frederico & Gamermann, Daniel & Brito, Carolina, 2021. "On the stability of the Brazilian presidential regime: A statistical analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 571(C).
    3. Zubillaga, Bernardo J. & Vilela, André L.M. & Wang, Chao & Nelson, Kenric P. & Stanley, H. Eugene, 2022. "A three-state opinion formation model for financial markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).
    4. 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.

    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. Diep, Hung T. & Desgranges, Gabriel, 2021. "Dynamics of the price behavior in stock markets: A statistical physics approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).
    2. Yifei Zhou & Shaoyong Li & Yaping Liu, 2020. "Graph-based Method for App Usage Prediction with Attributed Heterogeneous Network Embedding," Future Internet, MDPI, vol. 12(3), pages 1-16, March.
    3. Venkatasubramanian, Venkat & Luo, Yu & Sethuraman, Jay, 2015. "How much inequality in income is fair? A microeconomic game theoretic perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 435(C), pages 120-138.
    4. Arthur Matsuo Yamashita Rios de Sousa & Hideki Takayasu & Misako Takayasu, 2017. "Detection of statistical asymmetries in non-stationary sign time series: Analysis of foreign exchange data," PLOS ONE, Public Library of Science, vol. 12(5), pages 1-18, May.
    5. Das, Debojyoti & Bhowmik, Puja & Jana, R.K., 2018. "A multiscale analysis of stock return co-movements and spillovers: Evidence from Pacific developed markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 502(C), pages 379-393.
    6. Nora Connor & Albert Barberán & Aaron Clauset, 2017. "Using null models to infer microbial co-occurrence networks," PLOS ONE, Public Library of Science, vol. 12(5), pages 1-23, May.
    7. Chen, Shu-Peng & He, Ling-Yun, 2010. "Multifractal spectrum analysis of nonlinear dynamical mechanisms in China’s agricultural futures markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(7), pages 1434-1444.
    8. Leto Peel & Tiago P. Peixoto & Manlio De Domenico, 2022. "Statistical inference links data and theory in network science," Nature Communications, Nature, vol. 13(1), pages 1-15, December.
    9. Rafiee, Samira & Salavati, Chiman & Abdollahpouri, Alireza, 2020. "CNDP: Link prediction based on common neighbors degree penalization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 539(C).
    10. Bikramjit Das & Tiandong Wang & Gengling Dai, 2022. "Asymptotic Behavior of Common Connections in Sparse Random Networks," Methodology and Computing in Applied Probability, Springer, vol. 24(3), pages 2071-2092, September.
    11. Chen, Wang & Wei, Yu & Lang, Qiaoqi & Lin, Yu & Liu, Maojuan, 2014. "Financial market volatility and contagion effect: A copula–multifractal volatility approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 398(C), pages 289-300.
    12. Cristescu, Constantin P. & Stan, Cristina & Scarlat, Eugen I. & Minea, Teofil & Cristescu, Cristina M., 2012. "Parameter motivated mutual correlation analysis: Application to the study of currency exchange rates based on intermittency parameter and Hurst exponent," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(8), pages 2623-2635.
    13. Lee, Yan-Li & Zhou, Tao, 2021. "Collaborative filtering approach to link prediction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 578(C).
    14. Greg Morrison & L Mahadevan, 2012. "Discovering Communities through Friendship," PLOS ONE, Public Library of Science, vol. 7(7), pages 1-9, July.
    15. Liu, Zhenfeng & Feng, Jian & Uden, Lorna, 2023. "Technology opportunity analysis using hierarchical semantic networks and dual link prediction," Technovation, Elsevier, vol. 128(C).
    16. Shugang Li & Ziming Wang & Beiyan Zhang & Boyi Zhu & Zhifang Wen & Zhaoxu Yu, 2022. "The Research of “Products Rapidly Attracting Users” Based on the Fully Integrated Link Prediction Algorithm," Mathematics, MDPI, vol. 10(14), pages 1-19, July.
    17. Chunjiang Liu & Yikun Han & Haiyun Xu & Shihan Yang & Kaidi Wang & Yongye Su, 2024. "A Community Detection and Graph-Neural-Network-Based Link Prediction Approach for Scientific Literature," Mathematics, MDPI, vol. 12(3), pages 1-20, January.
    18. Giorgos Stamatelatos & George Drosatos & Sotirios Gyftopoulos & Helen Briola & Pavlos S. Efraimidis, 2021. "Point-of-interest lists and their potential in recommendation systems," Information Technology & Tourism, Springer, vol. 23(2), pages 209-239, June.
    19. Cem Çağrı Dönmez & Abdulkadir Atalan, 2019. "Developing Statistical Optimization Models for Urban Competitiveness Index: Under the Boundaries of Econophysics Approach," Complexity, Hindawi, vol. 2019, pages 1-11, November.
    20. Kai Yang & Yuan Liu & Zijuan Zhao & Xingxing Zhou & Peijin Ding, 2023. "Graph attention network via node similarity for link prediction," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(3), pages 1-10, March.

    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:517:y:2019:i:c:p:175-187. 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.