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Opinion dynamics with the increasing peer pressure and prejudice on the signed graph

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Abstract

In this paper, we propose the opinion dynamics model with the increasing peer pressure and the stubborn agents. Cooperation and competition between individuals are considered simultaneously in a social network. Similar to the signed DeGroot model, we adopt a weighted average update rule in our model. We derive conditions under which opinions converge to a fixed opinion distribution. In particular, we find conditions under which opinions reach consensus or polarization (bipartite consensus). Two examples are provided to illustrate the effectiveness of the obtained results.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China under grant 61703003, 61873294, 61873230, in part by the Research Fund for Distinguished Young Scholars of Anhui Province under grant 1908085J04, in part by the National Natural Science Foundation of Anhui under grant 1708085QA16, in part by the Top Talent Project of Department of Anhui Education under grant gxgwfx2018038, in part by the Top Talent Project of Anhui Polytechnic University under grant 2017BJRC012, 2018JQ01, 2016BJRC009.

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Correspondence to Guang He.

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He, G., Zhang, W., Liu, J. et al. Opinion dynamics with the increasing peer pressure and prejudice on the signed graph. Nonlinear Dyn (2020) doi:10.1007/s11071-020-05473-1

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Keywords

  • Opinion dynamics
  • Peer pressure
  • Prejudice
  • Bipartite consensus
  • Signed graph