Energy Landscape of Social Balance

被引：128

作者：

Marvel, Seth A. ^{[1
]}

Strogatz, Steven H. ^{[1
]}

Kleinberg, Jon M. ^{[2
]}

机构：

[1] Cornell Univ, Ctr Appl Math, Ithaca, NY 14853 USA

[2] Cornell Univ, Dept Comp Sci, Ithaca, NY 14853 USA

来源：

PHYSICAL REVIEW LETTERS | 2009年 / 103卷 / 19期

关键词：

STRUCTURAL BALANCE; MODELS; GLASS;

D O I：

10.1103/PhysRevLett.103.198701

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We model a close-knit community of friends and enemies as a fully connected network with positive and negative signs on its edges. Theories from social psychology suggest that certain sign patterns are more stable than others. This notion of social "balance" allows us to define an energy landscape for such networks. Its structure is complex: numerical experiments reveal a landscape dimpled with local minima of widely varying energy levels. We derive rigorous bounds on the energies of these local minima and prove that they have a modular structure that can be used to classify them.

引用

页数：4

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