A lot of effort has been devoted to network structural interpretations of the economic complexity which can affect the level of economic growth and the activities of economic entities, although it remains unknown how network dynamical interpretations on which the economic complexity index operates affects its performance. Here, we regard export trade flows as the dynamics of resource allocation, and design a tunable resource allocation (TRA) process for interpreting economic complexity. The TRA could degrade into the classical economic complexity index (ECI) when the tunable parameter equals zero. We apply the TRA dynamics to the perfectly nested triangular matrix and the real country-product bipartite network from the world trade data to interpret economic complexity respectively. The parametric interpretations provide conceptual descriptions of the economic complexity index, shedding new light on a pattern of specialization of resource allocation, and the fluctuation of the economic complexity in countries and products. Moreover, the relationship of economic complexity between countries and products in the framework of TRA reveals that higher-ECI countries usually specialize in higher-ECI products while products not so as to countries, and the correlation strength varies with tunable parameters.

中文翻译：

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用于解释经济复杂性的可调节资源分配动态

尽管尚不清楚经济复杂性指数运作的网络动态解释如何影响其绩效，但人们仍致力于对经济复杂性的网络结构解释，这会影响经济增长水平和经济实体的活动。在这里，我们将出口贸易流量视为资源配置的动态，并设计了一个可调资源配置（TRA）过程来解释经济复杂性。当可调参数为零时，TRA 可能会退化为经典经济复杂性指数（ECI）。我们将 TRA 动力学应用于完美嵌套的三角矩阵和来自世界贸易数据的真实国家产品二分网络，以分别解释经济复杂性。参数解释提供了经济复杂性指数的概念描述，为资源配置的专业化模式以及国家和产品的经济复杂性波动提供了新的视角。此外，TRA框架下国家与产品之间的经济复杂性关系表明，ECI较高的国家通常专注于ECI较高的产品，而国家的产品则不然，并且相关强度随可调参数的变化而变化。