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Opinion convergence in the Krasnoshchekov model
The Journal of Mathematical Sociology ( IF 1 ) Pub Date : 2018-10-15 , DOI: 10.1080/0022250x.2018.1531398
Ivan Vladimirovich Kozitsin 1, 2 , Alexander Alexeyevich Belolipetskii 1, 3
Affiliation  

ABSTRACT In this paper, a rigorous mathematical analysis of the Krasnoshchekov model is presented. We have shown that in case a community does not contain any group of people having zero resistance to interpersonal influence, which are moreover isolated from the pressure of the rest of community, the Krasnoshchekov opinion readjustment procedure can be reduced to the Friedkin–Johnsen dynamics. In turn, if one repeats the Krasnoshchekov opinion updating rule, the corresponding dynamics forces individuals’ opinions to converge eventually to some terminal opinions, which are a consensus under the same conditions as in the French–Harary–DeGroot dynamics. Otherwise, the Krasnoshchekov dynamics exhibits patterns, which are much closer to the behavior of electrons in the superconductivity state.

中文翻译:

Krasnoshchekov 模型中的意见收敛

摘要 在本文中,对 Krasnoshchekov 模型进行了严格的数学分析。我们已经表明,如果一个社区不包含任何对人际影响具有零抵抗力的人群,而且这些人群与社区其他人的压力隔绝,那么克拉斯诺谢科夫意见调整程序可以简化为弗里德金-约翰森动力学。反过来,如果重复 Krasnoshchekov 意见更新规则,相应的动态会迫使个人的意见最终收敛到一些终端意见,这是在与 French-Harary-DeGroot 动态相同条件下的共识。否则,Krasnoshchekov 动力学表现出的模式更接近于电子在超导状态下的行为。
更新日期:2018-10-15
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