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An opinion dynamics model for the diffusion of innovations

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  • Martins, André C.R.
  • Pereira, Carlos de B.
  • Vicente, Renato

Abstract

We study the dynamics of the adoption of new products by agents with continuous opinions and discrete actions (CODA). The model is such that the refusal in adopting a new idea or product is increasingly weighted by neighbor agents as evidence against the product. Under these rules, we study the distribution of adoption times and the final proportion of adopters in the population. We compare the cases where initial adopters are clustered to the case where they are randomly scattered around the social network and investigate small world effects on the final proportion of adopters. The model predicts a fat tailed distribution for late adopters which is verified by empirical data.

Suggested Citation

  • Martins, André C.R. & Pereira, Carlos de B. & Vicente, Renato, 2009. "An opinion dynamics model for the diffusion of innovations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(15), pages 3225-3232.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:15:p:3225-3232
    DOI: 10.1016/j.physa.2009.04.007
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    References listed on IDEAS

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    Cited by:

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    2. Lu, Xi & Mo, Hongming & Deng, Yong, 2015. "An evidential opinion dynamics model based on heterogeneous social influential power," Chaos, Solitons & Fractals, Elsevier, vol. 73(C), pages 98-107.
    3. Seung Ki Baek & Xavier Durang & Mina Kim, 2013. "Faster Is More Different: Mean-Field Dynamics of Innovation Diffusion," PLOS ONE, Public Library of Science, vol. 8(7), pages 1-6, July.
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    6. Deng, Lei & Liu, Yun & Xiong, Fei, 2013. "An opinion diffusion model with clustered early adopters," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3546-3554.
    7. Elmar Kiesling & Markus Günther & Christian Stummer & Lea Wakolbinger, 2012. "Agent-based simulation of innovation diffusion: a review," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 20(2), pages 183-230, June.
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    9. Biondi, Yuri & Giannoccolo, Pierpaolo & Galam, Serge, 2012. "Formation of share market prices under heterogeneous beliefs and common knowledge," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5532-5545.
    10. Cheng, Zhichao & Xiong, Yang & Xu, Yiwen, 2016. "An opinion diffusion model with decision-making groups: The influence of the opinion’s acceptability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 429-438.
    11. Galam, Serge, 2010. "Public debates driven by incomplete scientific data: The cases of evolution theory, global warming and H1N1 pandemic influenza," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3619-3631.
    12. Martins, André C.R., 2022. "Extremism definitions in opinion dynamics models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 589(C).
    13. Diao, Su-Meng & Liu, Yun & Zeng, Qing-An & Luo, Gui-Xun & Xiong, Fei, 2014. "A novel opinion dynamics model based on expanded observation ranges and individuals’ social influences in social networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 415(C), pages 220-228.
    14. C.R. Martins, André, 2014. "Discrete opinion models as a limit case of the CODA model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 352-357.
    15. Catherine A. Glass & David H. Glass, 2021. "Social Influence of Competing Groups and Leaders in Opinion Dynamics," Computational Economics, Springer;Society for Computational Economics, vol. 58(3), pages 799-823, October.
    16. Si, Xia-Meng & Liu, Yun & Xiong, Fei & Zhang, Yan-Chao & Ding, Fei & Cheng, Hui, 2010. "Effects of selective attention on continuous opinions and discrete decisions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(18), pages 3711-3719.
    17. Víctor M Eguíluz & Naoki Masuda & Juan Fernández-Gracia, 2015. "Bayesian Decision Making in Human Collectives with Binary Choices," PLOS ONE, Public Library of Science, vol. 10(4), pages 1-14, April.
    18. Huang, Chuanchao & Hu, Bin & Jiang, Guoyin & Yang, Ruixian, 2016. "Modeling of agent-based complex network under cyber-violence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 458(C), pages 399-411.

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