摘要翻译：
世界上有各种类型的传销，已经或正在给许多人造成损失。我们提出了一种传销模式，该模式具有近年来出现的许多传销模式的主要特征：承诺高额回报，奖励招募下一代参与者的参与者，当组织者发现新参与者的钱不足以支付前参与者的利息和奖励时，将所有的钱拿走。我们分别在树状网络、ER随机网络、SW小世界网络和BA无标度网络中假设金字塔方案进行，然后给出了在这些情况下金字塔方案可以持续多少代的分析结果。我们还用我们的模型分析了现实世界中的一个金字塔计划，我们发现金字塔计划参与者之间的联系可能构成一个SW小世界网络。
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英文标题：
《A Pyramid Scheme Model Based on "Consumption Rebate" Frauds》
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作者：
Yong Shi, Bo Li and Wen Long
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最新提交年份：
2019
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分类信息：

一级分类：Physics        物理学
二级分类：Physics and Society        物理学与社会
分类描述：Structure, dynamics and collective behavior of societies and groups (human or otherwise). Quantitative analysis of social networks and other complex networks. Physics and engineering of infrastructure and systems of broad societal impact (e.g., energy grids, transportation networks).
社会和团体（人类或其他）的结构、动态和集体行为。社会网络和其他复杂网络的定量分析。具有广泛社会影响的基础设施和系统（如能源网、运输网络）的物理和工程。
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一级分类：Economics        经济学
二级分类：General Economics        一般经济学
分类描述：General methodological, applied, and empirical contributions to economics.
对经济学的一般方法、应用和经验贡献。
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一级分类：Quantitative Finance        数量金融学
二级分类：Economics        经济学
分类描述：q-fin.EC is an alias for econ.GN. Economics, including micro and macro economics, international economics, theory of the firm, labor economics, and other economic topics outside finance
q-fin.ec是econ.gn的别名。经济学，包括微观和宏观经济学、国际经济学、企业理论、劳动经济学和其他金融以外的经济专题
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英文摘要：
  There are various types of pyramid schemes which have inflicted or are inflicting losses on many people in the world. We propose a pyramid scheme model which has the principal characters of many pyramid schemes appeared in recent years: promising high returns, rewarding the participants recruiting the next generation of participants, and the organizer will take all the money away when he finds the money from the new participants is not enough to pay the previous participants interest and rewards. We assume the pyramid scheme carries on in the tree network, ER random network, SW small-world network or BA scale-free network respectively, then give the analytical results of how many generations the pyramid scheme can last in these cases. We also use our model to analyse a pyramid scheme in the real world and we find the connections between participants in the pyramid scheme may constitute a SW small-world network.
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PDF链接：
https://arxiv.org/pdf/1904.08136