Krasnoshchekov模型中的意见收敛

IF 1.3 4区社会学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Journal of Mathematical Sociology Pub Date : 2018-10-15 DOI:10.1080/0022250X.2018.1531398

I. Kozitsin, A. Belolipetskii

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引用次数: 24

摘要

本文对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没有抵抗力的群体，而且他们与社区其他人的压力隔绝，那么克拉斯诺什切科夫的意见调整程序可以简化为弗里德金-约翰逊动态。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最终意见，这是在与French–Harary–DeGroot动态相同的条件下达成的共识。否则，Krasnoshchekov动力学表现出模式，这更接近于超导状态下电子的行为。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Opinion convergence in the Krasnoshchekov model

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.

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来源期刊

Journal of Mathematical Sociology 数学-数学跨学科应用

CiteScore

2.90

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： The goal of the Journal of Mathematical Sociology is to publish models and mathematical techniques that would likely be useful to professional sociologists. The Journal also welcomes papers of mutual interest to social scientists and other social and behavioral scientists, as well as papers by non-social scientists that may encourage fruitful connections between sociology and other disciplines. Reviews of new or developing areas of mathematics and mathematical modeling that may have significant applications in sociology will also be considered. The Journal of Mathematical Sociology is published in association with the International Network for Social Network Analysis, the Japanese Association for Mathematical Sociology, the Mathematical Sociology Section of the American Sociological Association, and the Methodology Section of the American Sociological Association.