具有有限财富相互作用的系统中的财富分配

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摘要翻译：
我们建立了一个封闭的经济系统模型，通过简单地将一个代理人的相互作用限制在几乎具有相同财富的代理人身上，这种相互作用产生了所有财富范围内经验财富分布的特征，即在较低和中等财富范围内的吉卜赛趋势和在较高财富范围内的帕累托趋势。为此，我们引入了一个参数BETA，它限制了允许代理与之交互的合作伙伴的财富范围。我们表明，这种财富有限的相互作用足以以纯幂律趋势分配财富。如果这种互动不受财富的限制，那么财富的分配是预期的吉卜赛式的。从纯吉卜赛人分布到纯幂律分布的β值取决于相互作用伙伴的选择是否是相互的。对于一个非相互选择，即由更富有的主体来决定，转换发生在beta=1.0。对于一个相互选择，过渡是在beta=0.60。为了生成混合Gibbs-Pareto分布，我们应用了另一个依赖于参数w_limit的基于财富的规则。财富低于w_limit的agent可以选择任何合作伙伴进行交互，而财富高于w_limit的agent在选择合作伙伴时受财富限制范围的约束。如果这两个基于财富的规则都适用，就会出现吉布斯-帕累托分布。
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英文标题：
《Wealth distribution in a System with Wealth-limited Interactions》
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作者：
Marisciel L. Palima and Eduardo J. David
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最新提交年份：
2007
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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：Computational Physics        计算物理学
分类描述：All aspects of computational science applied to physics.
应用于物理学的计算科学的各个方面。
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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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英文摘要：
  We model a closed economic system with interactions that generates the features of empirical wealth distribution across all wealth brackets, namely a Gibbsian trend in the lower and middle wealth range and a Pareto trend in the higher range, by simply limiting the an agents' interaction to only agents with nearly the same wealth. To do this, we introduce a parameter BETA that limits the range on the wealth of a partner with which an agent is allowed to interact. We show that this wealth-limited interaction is enough to distribute wealth in a purely power law trend. If the interaction is not wealth limited, the wealth distribution is expectedly Gibbsian. The value of BETA where the transition from a purely Gibbsian law to a purely power law distribution happens depends on whether the choice of interaction partner is mutual nor not. For a non-mutual choice, where the richer agent gets to decide, the transition happens at BETA=1.0. For a mutual choice, the transition is at BETA= 0.60. In order to generate a mixed Gibbs-Pareto distribution, we apply another wealth-based rule that depends on the parameter w_limit. An agent whose wealth is below w_limit can choose any partner to interact with, while an agent whose wealth is above w_limit is subject to the wealth-limited range in his choice of partner. A Gibbs-Pareto distribution appears if both these wealth-based rules are applied.
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PDF链接：
https://arxiv.org/pdf/0710.1014

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关键词：财富分配 相互作用 distribution Quantitative interactions law wealth BETA Gibbsian 财富