论文标题
部分可观测时空混沌系统的无模型预测
A constraint on the dynamics of wealth concentration
论文作者
论文摘要
在用于描述财富增长动态的大量随机过程的背景下，我们证明了一系列不平等，以避免无限的财富集中。这些不平等现象概括了先前仅在特定模型的背景下发现的结果，或者以更严格的假设集。特别是，我们强调生长添加剂成分（通常代表劳动收入）在限制不平等增长中的作用。我们的主要结果是证明，在具有随机财富增长的经济中，回报与财富无关，平均劳动收入至少与平均财富成比例地增长以避免失控的集中。关于标准经济学文献，该结果的主要优点之一是脱离平衡财富分布的概念，在随机增长模型中并不总是存在。我们在这种情况下分析了三种玩具模型，这些模型在经济学和生态物理学文献中进行了广泛研究。
In the context of a large class of stochastic processes used to describe the dynamics of wealth growth, we prove a set of inequalities establishing necessary and sufficient conditions in order to avoid infinite wealth concentration. These inequalities generalize results previously found only in the context of particular models, or with more restrictive sets of hypotheses. In particular, we emphasize the role of the additive component of growth - usually representing labor incomes - in limiting the growth of inequality. Our main result is a proof that in an economy with random wealth growth, with returns non-negatively correlated with wealth, an average labor income growing at least proportionally to the average wealth is necessary to avoid a runaway concentration. One of the main advantages of this result with respect to the standard economics literature is the independence from the concept of an equilibrium wealth distribution, which does not always exist in random growth models. We analyze in this light three toy models, widely studied in the economics and econophysics literature.
