英文标题：
《Statistical mechanics of complex economies》
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作者：
Marco Bardoscia, Giacomo Livan, Matteo Marsili
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最新提交年份：
2017
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英文摘要：
  In the pursuit of ever increasing efficiency and growth, our economies have evolved to remarkable degrees of complexity, with nested production processes feeding each other in order to create products of greater sophistication from less sophisticated ones, down to raw materials. The engine of such an expansion have been competitive markets that, according to General Equilibrium Theory (GET), achieve efficient allocations under specific conditions. We study large random economies within the GET framework, as templates of complex economies, and we find that a non-trivial phase transition occurs: the economy freezes in a state where all production processes collapse when either the number of primary goods or the number of available technologies fall below a critical threshold. As in other examples of phase transitions in large random systems, this is an unintended consequence of the growth in complexity. Our findings suggest that the Industrial Revolution can be regarded as a sharp transition between different phases, but also imply that well developed economies can collapse if too many intermediate goods are introduced.
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中文摘要：
在追求不断提高的效率和增长的过程中，我们的经济已经发展到了相当复杂的程度，嵌套的生产过程相互补充，以创造出更复杂的产品，从不太复杂的产品到原材料。这种扩张的引擎是竞争性市场，根据一般均衡理论（GET），这些市场在特定条件下实现有效配置。我们在GET框架内研究大型随机经济体，将其作为复杂经济体的模板，并发现一个不平凡的相变发生：当初级商品数量或可用技术数量低于临界阈值时，经济体冻结在所有生产过程崩溃的状态。与大型随机系统中相变的其他例子一样，这是复杂性增长的意外结果。我们的研究结果表明，工业革命可以被视为不同阶段之间的急剧过渡，但也意味着，如果引入过多的中间产品，发达经济体可能会崩溃。
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分类信息：

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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一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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