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自我实现的预言、准非遍历性与财富不平等

Self-Fulfilling Prophecies, Quasi Nonergodicity, and Wealth Inequality
Journal of Political Economy · 2022 · Jean‐Philippe Bouchaud、Roger E. A. Farmer

中文摘要

我们构建了一个交换经济模型,其中代理人交易以某一可观测信号为条件的资产,该信号的概率取决于公众意见。我们模型中的代理人偶尔被替换,每个人根据观测到的结果更新信念。我们证明,所观测信号的分布可由一个准非遍历过程来描述,并且人们会永远持续地彼此意见分歧。这些分歧产生了大规模的财富不平等,其源于财富动态的乘法性质,这种性质使得成功的激进押注具有极高的盈利性。

Abstract

We construct a model of an exchange economy in which agents trade assets contingent on an observable signal, the probability of which depends on public opinion. The agents in our model are replaced occasionally, and each person updates beliefs in response to observed outcomes. We show that the distribution of the observed signal is described by a quasi-nonergodic process and that people continue to disagree with each other forever. These disagreements generate large wealth inequalities that arise from the multiplicative nature of wealth dynamics, which makes successful bold bets highly profitable.
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