Trust, evolution, and consensus of opinions in a social group

Su Jiong-Ming; Liu Bao-Hong; Li Qi; Ma Hong-Xu

doi:10.7498/aps.63.050501

Abstract

Most dynamical models with continuous opinion lack the considerations of trust between individuals and different weights of opinions. This article extends the Hegselmann-Krause model by introducing the trust between individuals and the similarity between opinions, and extending the hypothesis of bounded confidence to bounded influence. Finally, the model of opinion updating with weights is proposed. We have studied the formation, evolution of opinions in a social group and consensus-building process under the influence of a few of narrow-minded and authoritative individuals. Simulation results show that decreases of the difference between the initial opinions of two types of individuals and the midpoint of distribution range (0.5), or increases of the influence thresholds of narrow-minded individuals and the trust degree of authoritative individuals would form larger and fewer opinion clusters. As the influence thresholds of narrow-minded individuals increases, the opinion of maximum cluster concentrates at near 0.5, but the trust degree of authoritative individuals will increases to make the opinion of maximum cluster constantly approach the final opinion of authoritative individuals. These results can reflect and explain the realistic social phenomenon with narrow-minded individuals and authoritative individuals to a certain extent.

Keywords:

Authors and contacts

1.
College of Mechatronics Engineering and Automation, National University of Defense Technology, Changsha 410073, China;
2.
College of Information System and Management, National University of Defense Technology, Changsha 410073, China
Funds: Project supported by the National Natural Science Foundation of China (Grant No.61374185).

References

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[23]	Pan Z Z 2010 Mathematical Social Sciences 60 69
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[25]	Gargiulo F, Huet S 2010 EPL 91 58004
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[39]	Singh P, Sreenivasan S, Szymanski B K, Korniss G 2012 Phys. Rev. E 85 046104

Cited By

[1]	Xia H X, Wang H L, Xuan Z G 2011 Intenational Journal of Knowledge and Systems Science 2 72
[2]	Castellano C, Fortunato S, Loreto V 2009 Reviews of Modern Physics 81 591
[3]	Lorenz J 2007 International Journal of Modern Physics C 18 1819
[4]	Galam S, Gefen Y, Shapir Y 1982 J. Math. Sociol. 9 1
[5]	Galam S, Moscovici S 1991 Eur. J. Soc. Psychol. 21 49
[6]	Holley R, Liggett T 1975 Ann. Probab. 3 643
[7]	Slanina F, Lavička H 2003 Eur. Phys. J. B 35 279
[8]	Galam S 2002 Eur. Phys. J. B 25 403
[9]	Nowak A, Szamrej J, Latané B 1990 Psychol. Rev. 97 362
[10]	Lewenstein M, Nowak A, Latané B 1992 Phys. Rev. A 45 763
[11]	Sznajd-Weron K, Sznajd J 2000 International Journal of Modern Physics C 11 1157
[12]	Sznajd-Weron K 2005 Acta Phys. Pol. B 36 2537
[13]	Deffuant G, Neau D, Amblard F, Weisbuch G 2000 Advances in Complex Systems 3 87
[14]	Fortunato S 2004 International Journal of Modern Physics C 15 1301
[15]	Lorenz J, Urbig D 2007 Adv. Complex Syst. 10 251
[16]	Hegselmann R, Krauze U 2002 Journal of Artificial Societies and Social Simulation 5 8
[17]	Fortunato S 2005 International Journal of Modern Physics C 16 259
[18]	Deffuant G, Amblard F, Weisbuch G, Faure T 2002 Journal of Artificial Societies and Social Simulation 5 4
[19]	Hegselmann R, Krause U 2004 Comput. Econ. 25 381
[20]	Fortunato S, Latora V, Pluchino A, Rapisarda A 2005 International Journal of Modern Physics C 16 1535
[21]	Hendrickx J M 2008 Physica A 387 5255
[22]	Urbig D, Lorenz J, Herzberg H 2008 Journal of Artificial Societies and Social Simulation 11 4
[23]	Pan Z Z 2010 Mathematical Social Sciences 60 69
[24]	Gandica Y, Marcelo del Castillo-Mussot, Vázquez G J, Rojas S 2010 Physica A 389 5864
[25]	Gargiulo F, Huet S 2010 EPL 91 58004
[26]	Evguenii K, Héctor A J, Ricardo A G 2011 Physica A 390 2945
[27]	Li P P, Zheng D F, Hui P M 2006 Phys. Rev. E 73 056128
[28]	Wang R, Chi L P, Cai X 2008 Chin. Phys. Lett. 25 1502
[29]	Feng C F, Guan J Y, Wu Z X, Wang Y H 2010 Chin. Phys. B 19 060203
[30]	Luo Z, Yang G Q, Di Z R 2012 Acta Phys. Sin. 61 190509 (in Chinese) [罗植, 杨冠琼, 狄增如 2012 61 190509]
[31]	Guo Q, Liu J G, Wang B H, Zhou T, Chen X W, Yao Y H 2008 Chin. Phys. Lett. 25 773
[32]	Shi X M, Shi L, Zhang J F 2010 Chin. Phys. B 19 038701
[33]	He M H, Zhang D M, Wang H Y, Li X G, Fang P J 2010 Acta Phys. Sin. 59 5175 (in Chinese) [何敏华, 张端明, 王海艳, 李小刚, 方频捷 2010 59 5175]
[34]	Iniguez G, Kertész J, Kaski K K, Barrio R A 2009 Phys. Rev. E 80 066119
[35]	Kozma B, Barrat A 2008 Phys. Rev. E 77 016102
[36]	Fu F, Wang L 2008 Phys. Rev. E 78 016104
[37]	Holme P, Newman M E J 2006 Phys. Rev. E 74 056108
[38]	Zhong L X, Ren F, Qiu T, Xu J R, Chen B H, Liu C F 2010 Physica A 389 2557
[39]	Singh P, Sreenivasan S, Szymanski B K, Korniss G 2012 Phys. Rev. E 85 046104

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Vol. 63, Issue 5 - 2014-03-05

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