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摘要翻译：
我们利用一个非线性非齐次地图应用于一个国家出口商品的公开信息，提出了一个新的国家适应度和产品复杂度的度量。非齐次项保证了收敛性和稳定性。在对相关量进行适当的重新标度后，非齐次项最终被设置为零，从而使这个新度量是无参数的。这种新的地图几乎再现了文献中已经定义的原始同质度量的结果，并允许在基于显示比较优势(RCA)指标的实际二值化矩阵的情况下提供一个近似的分析解决方案。该解与描述二部图中结点邻域的新量相联系，在本工作中表示国家与出口产品之间的关系。此外，我们定义了新的国家净效率指标，量化了一个国家如何有效地投资于能够产生创新的复杂的高质量产品的能力。最后，我们解析地证明了算法的局部收敛性。
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英文标题：
《A new and stable estimation method of country economic fitness and
product complexity》
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作者：
Vito D. P. Servedio, Paolo Butt\`a, Dario Mazzilli, Andrea Tacchella,
Luciano Pietronero
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最新提交年份：
2018
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分类信息：
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：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：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：
We present a new metric estimating fitness of countries and complexity of products by exploiting a non-linear non-homogeneous map applied to the publicly available information on the goods exported by a country. The non homogeneous terms guarantee both convergence and stability. After a suitable rescaling of the relevant quantities, the non homogeneous terms are eventually set to zero so that this new metric is parameter free. This new map almost reproduces the results of the original homogeneous metrics already defined in literature and allows for an approximate analytic solution in case of actual binarized matrices based on the Revealed Comparative Advantage (RCA) indicator. This solution is connected with a new quantity describing the neighborhood of nodes in bipartite graphs, representing in this work the relations between countries and exported products. Moreover, we define the new indicator of country net-efficiency quantifying how a country efficiently invests in capabilities able to generate innovative complex high quality products. Eventually, we demonstrate analytically the local convergence of the algorithm involved.
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PDF链接：
https://arxiv.org/pdf/1807.10276
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