论文标题
与同质和社会平衡的社会中的平衡和分散的阶段
Balanced and fragmented phases in societies with homophily and social balance
论文作者
论文摘要
了解社会分裂的起源的最新尝试是基于旋转模型，其中包括对两个社会现象的术语：同质性 - 具有相似意见的人们建立积极关系和社会平衡的趋势 - 人们建立平衡的三元关系的趋势。旋转代表属性向量，这些向量编码个人的多个（二进制）观点和个人之间的社会互动可能是正面的或负面的。最近的工作表明，只要每个代理的属性数量小于o（n^2）[phys，n >> 1个个体的大系统从未达到平衡状态（仍然存在一个或3个敌对链接的三合会）[phys。莱特牧师。 125，078302]。在这里，我们表明此陈述过于限制。在将个人的社会压力最小化的哈密顿式框架内，我们证明，如果个人除了同性同性恋之外，可以考虑到任何数量的属性，可以达到固定，平衡但分散的状态。高于临界值q_c，平衡状态结果。这个结果也适用于稀疏现实的社交网络。最后，在小Q的限制下，我们的结果与[物理学的结果一致。莱特牧师。 125，078302]。
Recent attempts to understand the origin of social fragmentation are based on spin models which include terms accounting for two social phenomena: homophily -- the tendency for people with similar opinions to establish positive relations -- and social balance -- the tendency for people to establish balanced triadic relations. Spins represent attribute vectors that encode multiple (binary) opinions of individuals and social interactions between individuals can be positive or negative. Recent work suggests that large systems of N >> 1 individuals never reach a balanced state (where unbalanced triads with one or three hostile links remain), provided the number of attributes for each agent is less than O(N^2) [Phys. Rev. Lett. 125, 078302]. Here we show that this statement is overly restrictive. Within a Hamiltonian framework that minimizes individuals' social stress, we demonstrate that stationary, balanced, but fragmented states can be reached for any number of attributes, if, in addition to homophily, individuals take into account a significant fraction, q, of their triadic relations. Above a critical value q_c, balanced states result. This result also holds for sparse realistic social networks. Finally, in the limit of small q, our result agrees with that of [Phys. Rev. Lett. 125, 078302].
