摘要翻译：
我们介绍了基于布尔时滞方程的经济模型：这种形式使得考虑企业间相互作用的复杂性变得更加容易，并且特别适合于研究由突变引起的初始损害的传播。在这里，我们集中于简单的情况，这些情况允许理解多个并发生产路径的影响，以及路径时间长度或网络结构中存在的随机性。在缺乏灵活性的情况下，在一个具有多个连接的孤立网络中，单个企业生产的缩短通常以获得有限部分企业或整个经济而告终，而与外部的相互作用允许活动的部分恢复，从而产生周期性解，并伴随着在整个结构中传播的损害波。损伤传播速度与拓扑结构密切相关。多条并行生产路径的存在并不一定意味着传播速度的减慢，传播速度可以和最短路径一样快。
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英文标题：
《Boolean delay equations on networks: An application to economic damage
  propagation》
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作者：
B. Coluzzi, M. Ghil, S. Hallegatte, and G. Weisbuch
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最新提交年份：
2010
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分类信息：

一级分类：Quantitative Finance        数量金融学
二级分类：General Finance        一般财务
分类描述：Development of general quantitative methodologies with applications in finance
通用定量方法的发展及其在金融中的应用
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一级分类：Physics        物理学
二级分类：Cellular Automata and Lattice Gases        元胞自动机与格子气体
分类描述：Computational methods, time series analysis, signal processing, wavelets, lattice gases
计算方法，时间序列分析，信号处理，小波，格子气体
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英文摘要：
  We introduce economic models based on Boolean Delay Equations: this formalism makes easier to take into account the complexity of the interactions between firms and is particularly appropriate for studying the propagation of an initial damage due to a catastrophe. Here we concentrate on simple cases, which allow to understand the effects of multiple concurrent production paths as well as the presence of stochasticity in the path time lengths or in the network structure.   In absence of flexibility, the shortening of production of a single firm in an isolated network with multiple connections usually ends up by attaining a finite fraction of the firms or the whole economy, whereas the interactions with the outside allow a partial recovering of the activity, giving rise to periodic solutions with waves of damage which propagate across the structure. The damage propagation speed is strongly dependent upon the topology. The existence of multiple concurrent production paths does not necessarily imply a slowing down of the propagation, which can be as fast as the shortest path.
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PDF链接：
https://arxiv.org/pdf/1003.0793