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Keywords:
opinion dynamics; individual susceptibility; anchoring effect; steady-state behavior
opinion dynamics; individual susceptibility; anchoring effect; steady-state behavior
Summary:
This paper studies a new model of social opinion dynamics in multiagent system by counting in two important factors, individual susceptibility and anchoring effect. Different from many existing models only focusing on one factor, this model can exhibit not only agreement phenomena, but also disagreement phenomena such as clustering and fluctuation, during opinion evolution. Then we provide several conditions to show how individual susceptibility and anchoring effect work on steady-state behaviors in some specific situations, with strict mathematical analysis. Finally, we investigate the model for general situations via simulations.
References:
[1] Acemoğlu, D., Como, G., Fagnani, F., Ozdaglar, A.: Opinion fluctuations and disagreement in social networks. Math. Oper. Res. 38 (2013), 1-27. DOI 10.1287/moor.1120.0570 | MR 3029476
[2] Bindel, D., Kleinberg, J., Oren, S.: How bad is forming your own opinion. Games Econ. Behav. (2015), 248-265. DOI 10.1016/j.geb.2014.06.004 | MR 3377660
[3] Castellano, C., Castellano, F., Vittorio, L.: Statistical physics of social dynamics. Rev. Mod. Phys. 8 (2009), 2, 591-646. DOI 10.1103/revmodphys.81.591
[4] Chen, Z., Qin, J., Li, B., Qi, H., Buchhorn, P., Shi, G.: Dynamics of opinions with social biases. Automatica 106 (2019), 374-383. DOI 10.1016/j.automatica.2019.04.035 | MR 3954046
[5] Dandekar, P., Goel, A., Lee, D. T.: Biased assimilation, homophily, and the dynamics of polarization. Proc. Natl. Acad. Sci. U. S. A. 110 (2013), 5791-5796. DOI 10.1073/pnas.1217220110 | MR 3065807
[6] DeGroot, M. H.: Reaching a consensus. J. Am. Stat. Assoc. 69 (1974), 118-121. DOI 10.1080/01621459.1974.10480137
[7] DeMarzo, P. M., Vayanos, D., Zwiebel, J.: Persuasion bias, social influence, and unidimensional opinions. Q. J. Econ. 118 (2003), 909-968. DOI 10.1162/00335530360698469
[8] Flache, A., Mäs, M., Feliciani, T., Chattoe-Brown, E., Deffuant, G., Huet, S., Lorenz, J.: Models of social influence: Towards the next frontiers. JASSS 20 (2017), 4. DOI 10.18564/jasss.3521
[9] Friedkin, N. E., Johnsen, E. C.: Social influence and opinions. J. Math. Sociol. 15 (1990), 193-206. DOI 10.1080/0022250x.1990.9990069
[10] Friedkin, N. E., Proskurnikov, A. V., Tempo, R., Parsegov, S. E.: Network science on belief system dynamics under logic constraints. Science 354 (2016), 321-326. DOI 10.1126/science.aag2624 | MR 3561171
[11] Hegselmann, R., Krause, U.: Opinion dynamics and bounded confidence models, analysis, and simulation. JASSS 5 (2002).
[12] Helbing, D.: Quantitative Sociodynamics: Stochastic Methods and Models of Social Interaction Processes. Springer Science and Business Media, 2010. MR 2848027
[13] Kacperski, K.: Opinion formation model with strong leader and external impact: a mean field approach. Physica A 269 (1999), 511-526. DOI 10.1016/s0378-4371(99)00174-0
[14] Kramer, G. H.: Short-term fluctuations in US voting behavior, 1896 - 1964. Am. Polit. Sci. Rev. 65 (1971), 131-143. DOI 10.2307/1955049
[15] Lawrence, E., Farrell, J., Farrell, H.: Self-segregation or deliberation? Blog readership, participation, and polarization in American politics. Perspect. Polit. 8 (2010), 141-157. DOI 10.1017/s1537592709992714
[16] Li, L., Scaglione, A., Swami, A., Zhao, Q.: Consensus, polarization and clustering of opinions in social networks. IEEE J. Sel. Areas Commun. 31 (2013), 1072-1083. DOI 10.1109/jsac.2013.130609
[17] Myers, D. G.: Social Psychology. McGraw-Hill, New York 1993.
[18] Proskurnikov, A. V., Tempo, R.: A tutorial on modeling and analysis of dynamic social networks. Part I. Ann. Rev. Control 43 (2017), 65-79. DOI 10.1016/j.arcontrol.2017.03.002 | MR 3880766
[19] Scott, J.: Social Network Analysis. Sage, 2017. DOI 10.4135/9781483381411.n575
[20] Shi, G., Proutiere, A., Johansson, M., Baras, J. S., Johansson, K. H.: The evolution of beliefs over signed social networks. Oper. Res. 64 (2016), 585-604. DOI 10.1287/opre.2015.1448 | MR 3515199
[21] Tversky, A., Kahneman, D.: Advances in Prospect Theory: Cumulative Representation of Uncertainty. J. Risk Uncertain. 5 (1992), 297-323. DOI 10.1007/bf00122574
[22] Xing, Y., Hong, Y., Fang, H.: A Novel Opinion Model for Complex Macro-Behaviors of Mass Opinion. Sci. China-Inf. Sci.
[23] Yildiz, E., Ozdaglar, A., Acemoglu, D., Saberi, A., Scaglione, A.: Binary opinion dynamics with stubborn agents. ACM Trans. Econ. Comput. 1 (2013), 4, 1-30. DOI 10.1145/2538508
[24] Zhang, J.: Convergence analysis for asymmetric Deffuant-Weisbuch model. Kybernetika 50 (2014), 32-45. DOI 10.14736/kyb-2014-1-0032 | MR 3195003
[25] Zhang, J., Hong, Y., Hu, X.: Multiagent opinion dynamics of bounded confidence with nonlocal aggregative interaction. SIAM J. Control Optim. 55 (2017), 2543-2573. DOI 10.1137/16m1083268 | MR 3686786
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