| Title:
|
Multiagent opinion dynamics influenced by individual susceptibility and anchoring effect (English) |
| Author:
|
Chen, Zihan |
| Author:
|
Xing, Yu |
| Author:
|
Qin, Huashu |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
55 |
| Issue:
|
4 |
| Year:
|
2019 |
| Pages:
|
714-726 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
opinion dynamics |
| Keyword:
|
individual susceptibility |
| Keyword:
|
anchoring effect |
| Keyword:
|
steady-state behavior |
| MSC:
|
91C99 |
| MSC:
|
91D30 |
| MSC:
|
91E99 |
| idZBL:
|
Zbl 07177912 |
| idMR:
|
MR4043544 |
| DOI:
|
10.14736/kyb-2019-4-0714 |
| . |
| Date available:
|
2020-01-10T14:22:41Z |
| Last updated:
|
2020-04-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147965 |
| . |
| Reference:
|
[1] Acemoğlu, D., Como, G., Fagnani, F., Ozdaglar, A.: Opinion fluctuations and disagreement in social networks..Math. Oper. Res. 38 (2013), 1-27. MR 3029476, 10.1287/moor.1120.0570 |
| Reference:
|
[2] Bindel, D., Kleinberg, J., Oren, S.: How bad is forming your own opinion..Games Econ. Behav. (2015), 248-265. MR 3377660, 10.1016/j.geb.2014.06.004 |
| Reference:
|
[3] Castellano, C., Castellano, F., Vittorio, L.: Statistical physics of social dynamics..Rev. Mod. Phys. 8 (2009), 2, 591-646. 10.1103/revmodphys.81.591 |
| Reference:
|
[4] Chen, Z., Qin, J., Li, B., Qi, H., Buchhorn, P., Shi, G.: Dynamics of opinions with social biases..Automatica 106 (2019), 374-383. MR 3954046, 10.1016/j.automatica.2019.04.035 |
| Reference:
|
[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. MR 3065807, 10.1073/pnas.1217220110 |
| Reference:
|
[6] DeGroot, M. H.: Reaching a consensus..J. Am. Stat. Assoc. 69 (1974), 118-121. 10.1080/01621459.1974.10480137 |
| Reference:
|
[7] DeMarzo, P. M., Vayanos, D., Zwiebel, J.: Persuasion bias, social influence, and unidimensional opinions..Q. J. Econ. 118 (2003), 909-968. 10.1162/00335530360698469 |
| Reference:
|
[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. 10.18564/jasss.3521 |
| Reference:
|
[9] Friedkin, N. E., Johnsen, E. C.: Social influence and opinions..J. Math. Sociol. 15 (1990), 193-206. 10.1080/0022250x.1990.9990069 |
| Reference:
|
[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. MR 3561171, 10.1126/science.aag2624 |
| Reference:
|
[11] Hegselmann, R., Krause, U.: Opinion dynamics and bounded confidence models, analysis, and simulation..JASSS 5 (2002). |
| Reference:
|
[12] Helbing, D.: Quantitative Sociodynamics: Stochastic Methods and Models of Social Interaction Processes..Springer Science and Business Media, 2010. MR 2848027 |
| Reference:
|
[13] Kacperski, K.: Opinion formation model with strong leader and external impact: a mean field approach..Physica A 269 (1999), 511-526. 10.1016/s0378-4371(99)00174-0 |
| Reference:
|
[14] Kramer, G. H.: Short-term fluctuations in US voting behavior, 1896 - 1964..Am. Polit. Sci. Rev. 65 (1971), 131-143. 10.2307/1955049 |
| Reference:
|
[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. 10.1017/s1537592709992714 |
| Reference:
|
[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. 10.1109/jsac.2013.130609 |
| Reference:
|
[17] Myers, D. G.: Social Psychology..McGraw-Hill, New York 1993. |
| Reference:
|
[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. MR 3880766, 10.1016/j.arcontrol.2017.03.002 |
| Reference:
|
[19] Scott, J.: Social Network Analysis..Sage, 2017. 10.4135/9781483381411.n575 |
| Reference:
|
[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. MR 3515199, 10.1287/opre.2015.1448 |
| Reference:
|
[21] Tversky, A., Kahneman, D.: Advances in Prospect Theory: Cumulative Representation of Uncertainty..J. Risk Uncertain. 5 (1992), 297-323. 10.1007/bf00122574 |
| Reference:
|
[22] Xing, Y., Hong, Y., Fang, H.: A Novel Opinion Model for Complex Macro-Behaviors of Mass Opinion..Sci. China-Inf. Sci. |
| Reference:
|
[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. 10.1145/2538508 |
| Reference:
|
[24] Zhang, J.: Convergence analysis for asymmetric Deffuant-Weisbuch model..Kybernetika 50 (2014), 32-45. MR 3195003, 10.14736/kyb-2014-1-0032 |
| Reference:
|
[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. MR 3686786, 10.1137/16m1083268 |
| . |
