Multiparameter Models of Innovation Diffusion on Complex Networks
Multiparameter Models of Innovation Diffusion on Complex Networks
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DOI：
10.1137/120885371
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发表时间：
2013-01-01
影响因子：
2.1
通讯作者：
Gale, W. F.
中科院分区：
文献类型：
--
作者：
McCullen, N. J.;Rucklidge, A. M.;Gale, W. F.
一个模型，适用于一系列的创新扩散的应用程序与一个强大的对等组件，开发和研究，沿着，其调查和分析的方法。一个特别的应用是个别家庭决定是否在家中安装能源效率措施。该模型将这些个体表示为网络上的节点，每个节点都有一个变量，代表他们当前采用创新的状态。采用的动机由三个术语组成，代表个人偏好，每个人的网络邻居的状态的平均值，以及系统平均值，这是当前社会趋势的衡量标准。如果这些因素的加权线性组合超过某个阈值，则节点的采用状态发生变化。已经进行了数值模拟，在所有模型参数值下，在各种网络拓扑结构上，包括随机（Erdos-Renyi），小世界（Watts-Strogatz）和（纽曼）高度集群的基于社区的网络，计算在许多随机化的足够数量的时间步长后的平均摄取。一个分析和概率的方法已被开发来解释所观察到的行为，这解释了数值计算的结果。
A model, applicable to a range of innovation diffusion applications with a strong peer-to-peer component, is developed and studied, along with methods for its investigation and analysis. A particular application is to individual households deciding whether to install an energy efficiency measure in their home. The model represents these individuals as nodes on a network, each with a variable representing their current state of adoption of the innovation. The motivation to adopt is composed of three terms, representing personal preference, an average of each individual's network neighbors' states, and a system average, which is a measure of the current social trend. The adoption state of a node changes if a weighted linear combination of these factors exceeds some threshold. Numerical simulations have been carried out, computing the average uptake after a sufficient number of time-steps over many randomizations at all model parameter values, on various network topologies, including random (Erdos-Renyi), small world (Watts-Strogatz), and (Newman) highly clustered, community-based networks. An analytical and probabilistic approach has been developed to account for the observed behavior, which explains the results of the numerical calculations.