特征向量集中度作为信息聚合中结构偏差的度量

IF 1.3 4区 社会学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Journal of Mathematical Sociology Pub Date : 2021-02-25 DOI:10.1080/0022250X.2021.1878357
E. Bienenstock, P. Bonacich
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引用次数: 9

摘要

摘要邻接矩阵的主特征向量被广泛用于补充网络中心性的度、介数和贴近度度量。使用特征向量中心性作为个体水平度量没有充分利用这一度量。在这里,我们展示了作为网络级别度量的特征向量集中如何对网络中新信息传播的潜力或限制进行建模。我们将特征向量集中与分类性和核心-外围联系起来,并使用简单的模拟来证明特征向量集中是如何理想地揭示网络结构对可用信息产生次优利用的条件的。我们的研究结果为“脱节”的商业和政治领导力的持续存在提供了结构性解释,即使组织实施了协议和干预措施来提高领导力的可及性。
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Eigenvector centralization as a measure of structural bias in information aggregation
Abstract The principal eigenvector of the adjacency matrix is widely used to complement degree, betweenness and closeness measures of network centrality. Employing eigenvector centrality as an individual level metric underutilizes this measure. Here we demonstrate how eigenvector centralization, used as a network-level metric, models the potential, or limitation, for the diffusion of novel information within a network. We relate eigenvector centralization to assortativity and core – periphery and use simple simulations to demonstrate how eigenvector centralization is ideal for revealing the conditions under which network structure produces suboptimal utilization of available information. Our findings provide a structural explanation for the persistence of “out of touch” business and political leadership even when organizations implement protocols and interventions to improve leadership accessibility.
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来源期刊
Journal of Mathematical Sociology
Journal of Mathematical Sociology 数学-数学跨学科应用
CiteScore
2.90
自引率
10.00%
发文量
5
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.
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