External activation promoting consensus formation in the opinion model with interest decay. (English) Zbl 1429.91266
Summary: We put forward an opinion model that considers internal decay and external activation or deactivation. Agents may withdraw from the discussion, meanwhile, these inactive agents are likely to be motivated by active neighbors. In addition, external influence from outside circumstances is added to the population. We focus on the majority rule of opinion exchange. Our investigations reveal under the impact of external circumstances, the system evolves to different stable states. One opinion can finally be made dominant when the internal motivation is large sufficiently. However, without external activation, consensus is hardly reached in the system with interest decay.
MSC:
| 91D30 | Social networks; opinion dynamics |
References:
| [1] | Castellano, C.; Fortunato, S.; Loreto, V., Rev. Mod. Phys., 81, 591 (2009) |
| [2] | Baxter, G. J.; Blythe, R. A.; McKane, A. J., Phys. Rev. Lett., 101, 258701 (2008) |
| [3] | Latane, B., Am. Psychologist, 36, 343 (1981) |
| [4] | Mobilia, M., Europhys. Lett., 95, 50002 (2011) |
| [5] | Nardini, C.; Kozma, B.; Barrat, A., Phys. Rev. Lett., 100, 158701 (2008) |
| [6] | Shao, J.; Havlin, S.; Stanley, H. E., Phys. Rev. Lett., 103, 018701 (2009) |
| [7] | Krapivsky, P. L., Phys. Rev. A, 45, 1067 (1992) |
| [8] | Dornic, I.; Chate, H.; Chave, J.; Hinrichsen, H., Phys. Rev. Lett., 87, 045701 (2001) |
| [9] | Sood, V.; Redner, S., Phys. Rev. Lett., 94, 178701 (2005) |
| [10] | Sood, V.; Antal, T.; Redner, S., Phys. Rev. E, 77, 041121 (2008) |
| [11] | Galam, S., Physica A, 274, 132 (1999) |
| [12] | Krapivsky, P. L.; Redner, S., Phys. Rev. Lett., 90, 238701 (2003) |
| [13] | Mobilia, M.; Redner, S., Phys. Rev. E, 68, 046106 (2003) |
| [14] | Jacobmeier, D., Int. J. Mod. Phys. C, 17, 1801 (2006) · Zbl 1203.91245 |
| [15] | Weisbuch, G.; Deffuant, G.; Amblard, F.; Nadal, J.-P., Complexity, 7, 55 (2002) |
| [16] | Martins, A. C.R., Int. J. Mod. Phys. C, 19, 617 (2008) · Zbl 1152.91423 |
| [17] | Martins, A. C.R., Phys. Rev. E, 78, 036104 (2008) |
| [18] | Sznajd-Weron, K.; Sznajd, J., Int. J. Mod. Phys. C, 11, 1157 (2000) |
| [19] | Sznajd-Weron, K.; Tabiszewski, M.; Timpanaro, A. M., Europhys. Lett., 96, 48002 (2011) |
| [20] | Slanina, F.; Sznajd-Weron, K.; Przybyla, P., Europhys. Lett., 82, 18006 (2008) |
| [21] | Medeiros, N. G.F.; Silva, A. T.C., Phys. Rev. E, 73, 046120 (2006) |
| [22] | Stark, H. U.; Tessone, C. J.; Schweitzer, F., Phys. Rev. Lett., 101, 018701 (2008) |
| [23] | Lambiotte, R.; Saramaki, J.; Blondel, V. D., Phys. Rev. E, 79, 046107 (2009) |
| [24] | Taylor, P. D.; Day, T.; Wild, G., Nature, 447, 469 (2007) |
| [25] | Yang, H. X.; Wang, W. X.; Lai, Y. C.; Wang, B. H., Phys. Lett. A, 376, 282 (2012) · Zbl 1255.91087 |
| [26] | Tessone, C. J.; Toral, R., Eur. Phys. J. B, 71, 549 (2009) · Zbl 1188.91180 |
| [27] | Banisch, S.; Araujo, T., Phys. Lett. A, 374, 3197 (2010) |
| [28] | Crokidakis, N.; Forgerini, F. L., Phys. Lett. A, 374, 3380 (2010) · Zbl 1238.91120 |
| [29] | Lambiotte, R., Europhys. Lett., 78, 68002 (2007) |
| [30] | Xiong, F.; Liu, Y.; Zhang, Z. J.; Si, X. M.; Ding, F., Physica A, 390, 2504 (2011) |
| [31] | Holme, P.; Newman, M. E.J., Phys. Rev. E, 74, 056108 (2006) |
| [32] | Fu, F.; Wang, L., Phys. Rev. E, 78, 016104 (2008) |
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