Interacting Social Processes on Interconnected Networks.
Interacting Social Processes on Interconnected Networks.
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DOI：
10.1371/journal.pone.0163593
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发表时间：
2016
期刊：
影响因子：
3.7
通讯作者：
Braunstein LA
中科院分区：
文献类型：
--
作者：
Alvarez-Zuzek LG;La Rocca CE;Vazquez F;Braunstein LA
我们提出并研究了两个不同的动态过程之间的相互作用的模型-一个意见的形成和其他决策-在两个互联网络A和B。网络A上的意见动态对应于M模型，其中每个代理的状态可以取四个可能值之一（S =-2，-1，1，2），描述其对给定问题的同意程度。成为极端主义者（S = ±2）或温和主义者（S = ±1）的可能性由强化参数r ≥ 0控制。网络B上的决策动态类似于艾布拉姆斯-斯特罗加茨模型，其中代理人可以赞成（S = +1）或反对（S =-1）这个问题。一个智能体改变其状态的概率与保持相反状态的邻居的分数的β次方成正比。从一个两极分化的情况下，网络A的所有代理持有积极的方向，而网络B的所有代理有一个消极的方向，我们探讨的条件下，其中一个动力压倒其他，强加其初始方向。我们发现，对于给定的β值，当强化克服交叉值r*（β）时，两个网络系统在正状态（网络A的初始状态）中达成共识，而当r < r*（β）时，两个网络系统在负状态中达成共识。在r − β相空间中，系统在临界阈值βc处表现出一个转变，从β < βc时两个取向共存到β > βc时一个取向占主导地位。我们开发了一个分析平均场的方法，给出了一个洞察这些制度，并表明，这两个动态是等价的沿着交叉线（r*，β*）。
We propose and study a model for the interplay between two different dynamical processes –one for opinion formation and the other for decision making– on two interconnected networks A and B. The opinion dynamics on network A corresponds to that of the M-model, where the state of each agent can take one of four possible values (S = −2,−1, 1, 2), describing its level of agreement on a given issue. The likelihood to become an extremist (S = ±2) or a moderate (S = ±1) is controlled by a reinforcement parameter r ≥ 0. The decision making dynamics on network B is akin to that of the Abrams-Strogatz model, where agents can be either in favor (S = +1) or against (S = −1) the issue. The probability that an agent changes its state is proportional to the fraction of neighbors that hold the opposite state raised to a power β. Starting from a polarized case scenario in which all agents of network A hold positive orientations while all agents of network B have a negative orientation, we explore the conditions under which one of the dynamics prevails over the other, imposing its initial orientation. We find that, for a given value of β, the two-network system reaches a consensus in the positive state (initial state of network A) when the reinforcement overcomes a crossover value r*(β), while a negative consensus happens for r < r*(β). In the r − β phase space, the system displays a transition at a critical threshold βc, from a coexistence of both orientations for β < βc to a dominance of one orientation for β > βc. We develop an analytical mean-field approach that gives an insight into these regimes and shows that both dynamics are equivalent along the crossover line (r*, β*).
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影响因子：
1.6
作者：
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通讯作者：
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DOI：
10.1088/1742-5468/2009/10/p10024
发表时间：
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影响因子：
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作者：
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影响因子：
19.6
作者：
Gao, Jianxi;Buldyrev, Sergey V.;Havlin, Shlomo
通讯作者：
Havlin, Shlomo