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Simulating rumor spreading and rebuttal strategy with rebuttal forgetting: An agent-based modeling approach

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  • Ding, Haixin
  • Xie, Li

Abstract

Rumor is a typical social psychological phenomenon, and forgetting is a universal psychological trait. Exploring the role of forgetting will improve the understanding of rumor spreading and its control. Based on the classical SIR epidemic framework, the conceptual model of rumor spreading and rebuttal strategy is proposed with consideration of forgetting, and the mathematical model at the individual level is constructed from a competitive innovation diffusion perspective. A Java-based Agent-based Modeling approach is adopted to conduct comprehensive simulation experiments. Results indicate that both rebuttal strategy and rebuttal forgetting would affect the process and the result of rumor spreading and control, and complex interactions exist among different factors. Although the influence of control strategy is dominant in most cases, more active control might be not optimal in extreme cases because of the moderation of forgetting, the nonlinearity of influence increases the control challenge.

Suggested Citation

  • Ding, Haixin & Xie, Li, 2023. "Simulating rumor spreading and rebuttal strategy with rebuttal forgetting: An agent-based modeling approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 612(C).
  • Handle: RePEc:eee:phsmap:v:612:y:2023:i:c:s0378437123000432
    DOI: 10.1016/j.physa.2023.128488
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    as
    1. William Rand & Christian Stummer, 2021. "Agent‐based modeling of new product market diffusion: an overview of strengths and criticisms," Annals of Operations Research, Springer, vol. 305(1), pages 425-447, October.
    2. Rand, William & Rust, Roland T., 2011. "Agent-based modeling in marketing: Guidelines for rigor," International Journal of Research in Marketing, Elsevier, vol. 28(3), pages 181-193.
    3. Nejad, Mohammad G. & Amini, Mehdi & Babakus, Emin, 2015. "Success Factors in Product Seeding: The Role of Homophily," Journal of Retailing, Elsevier, vol. 91(1), pages 68-88.
    4. Yao, Yao & Xiao, Xi & Zhang, Chengping & Dou, Changsheng & Xia, Shutao, 2019. "Stability analysis of an SDILR model based on rumor recurrence on social media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    5. Meihan He & Jongsu Lee, 2020. "Social culture and innovation diffusion: a theoretically founded agent-based model," Journal of Evolutionary Economics, Springer, vol. 30(4), pages 1109-1149, September.
    6. J. Gu & W. Li & X. Cai, 2008. "The effect of the forget-remember mechanism on spreading," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 62(2), pages 247-255, March.
    7. Xu, Hao & Li, Tao & Liu, Xiongding & Liu, Wenjin & Dong, Jing, 2019. "Spreading dynamics of an online social rumor model with psychological factors on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 234-246.
    8. Zhang, Nan & Huang, Hong & Su, Boni & Zhao, Jinlong & Zhang, Bo, 2014. "Dynamic 8-state ICSAR rumor propagation model considering official rumor refutation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 333-346.
    9. Zhu, He & Ma, Jing, 2019. "Analysis of SHIR rumor propagation in random heterogeneous networks with dynamic friendships," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 257-271.
    10. Tuan Q. Phan & David Godes, 2018. "The Evolution of Influence Through Endogenous Link Formation," Marketing Science, INFORMS, vol. 37(2), pages 259-278, March.
    11. Amini, Mehdi & Wakolbinger, Tina & Racer, Michael & Nejad, Mohammad G., 2012. "Alternative supply chain production–sales policies for new product diffusion: An agent-based modeling and simulation approach," European Journal of Operational Research, Elsevier, vol. 216(2), pages 301-311.
    12. Pineda, M. & Buendía, G.M., 2015. "Mass media and heterogeneous bounds of confidence in continuous opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 420(C), pages 73-84.
    13. Yang, Anzhi & Huang, Xianying & Cai, Xiumei & Zhu, Xiaofei & Lu, Ling, 2019. "ILSR rumor spreading model with degree in complex network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
    14. Jiang, Guoyin & Li, Saipeng & Li, Minglei, 2020. "Dynamic rumor spreading of public opinion reversal on Weibo based on a two-stage SPNR model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).
    15. Liu, Qiming & Li, Tao & Sun, Meici, 2017. "The analysis of an SEIR rumor propagation model on heterogeneous network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 469(C), pages 372-380.
    16. Zhao, Laijun & Cui, Hongxin & Qiu, Xiaoyan & Wang, Xiaoli & Wang, Jiajia, 2013. "SIR rumor spreading model in the new media age," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 995-1003.
    17. Zhao, Laijun & Wang, Qin & Cheng, Jingjing & Chen, Yucheng & Wang, Jiajia & Huang, Wei, 2011. "Rumor spreading model with consideration of forgetting mechanism: A case of online blogging LiveJournal," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(13), pages 2619-2625.
    18. Liu, Xiongding & Li, Tao & Xu, Hao & Liu, Wenjin, 2019. "Spreading dynamics of an online social information model on scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 497-510.
    19. Zan, Yongli & Wu, Jianliang & Li, Ping & Yu, Qinglin, 2014. "SICR rumor spreading model in complex networks: Counterattack and self-resistance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 159-170.
    20. Huo, Liang’an & Chen, Sijing & Zhao, Laijun, 2021. "Dynamic analysis of the rumor propagation model with consideration of the wise man and social reinforcement," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 571(C).
    21. Chen, Guanghua, 2019. "ILSCR rumor spreading model to discuss the control of rumor spreading in emergency," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 522(C), pages 88-97.
    22. Qian, Zhen & Tang, Shaoting & Zhang, Xiao & Zheng, Zhiming, 2015. "The independent spreaders involved SIR Rumor model in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 429(C), pages 95-102.
    23. A. Negahban & J.S. Smith, 2016. "The effect of supply and demand uncertainties on the optimal production and sales plans for new products," International Journal of Production Research, Taylor & Francis Journals, vol. 54(13), pages 3852-3869, July.
    24. Askarizadeh, Mojgan & Tork Ladani, Behrouz & Manshaei, Mohammad Hossein, 2019. "An evolutionary game model for analysis of rumor propagation and control in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 21-39.
    25. Kai Fischbach & Johannes Marx & Tim Weitzel, 2021. "Agent-based modeling in social sciences," Journal of Business Economics, Springer, vol. 91(9), pages 1263-1270, November.
    26. Isham, Valerie & Harden, Simon & Nekovee, Maziar, 2010. "Stochastic epidemics and rumours on finite random networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 561-576.
    27. Zhao, Laijun & Wang, Jiajia & Chen, Yucheng & Wang, Qin & Cheng, Jingjing & Cui, Hongxin, 2012. "SIHR rumor spreading model in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(7), pages 2444-2453.
    28. Nejad, Mohammad G. & Amini, Mehdi & Sherrell, Daniel L., 2016. "The profit impact of revenue heterogeneity and assortativity in the presence of negative word-of-mouth," International Journal of Research in Marketing, Elsevier, vol. 33(3), pages 656-673.
    29. Kathrin Eismann, 2021. "Diffusion and persistence of false rumors in social media networks: implications of searchability on rumor self-correction on Twitter," Journal of Business Economics, Springer, vol. 91(9), pages 1299-1329, November.
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    2. Hongying Xiao & Zhaofeng Li & Yuanyuan Zhang & Hong Lin & Yuxiao Zhao, 2023. "A Dual Rumor Spreading Model with Consideration of Fans versus Ordinary People," Mathematics, MDPI, vol. 11(13), pages 1-14, July.
    3. Yanchao Liu & Pengzhou Zhang & Lei Shi & Junpeng Gong, 2023. "A Survey of Information Dissemination Model, Datasets, and Insight," Mathematics, MDPI, vol. 11(17), pages 1-30, August.

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