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面向决策的计量经济学:构建Haavelmo与Wald勾勒的基础

Econometrics for Decision Making: Building Foundations Sketched by Haavelmo and Wald
Econometrica · 2021 · Charles F. Manski

中文摘要

Haavelmo (1944) 为计量经济建模提出了一种概率结构,旨在使计量经济学有助于决策。他的这一基础性贡献已深嵌于计量经济研究中,却未能回答作者提出的所有深层问题。值得注意的是,Haavelmo难以将模型至多只能近似现实这一事实对决策的含义形式化。在同一时期,Wald (1939, 1945) 开启了他自己对统计决策理论的开创性发展。Haavelmo正面引用了Wald,但计量经济学并未接纳统计决策理论。相反,它专注于识别、估计和统计推断的研究。本文提出使用统计决策理论来评估模型在决策中的表现。我考察了“仿佛优化”的常见做法:设定一个模型,对其参数进行点估计,并使用该点估计做出一个若估计准确则将为最优的决策。一个核心主题是,应当通过在状态空间(列出所有被认为可行的自然状态)上而非模型空间上的表现,来评估“仿佛优化”或任何其他基于模型的决策规则。我将该主题应用于预测和处理选择。统计决策理论在概念上简单,但应用往往具有挑战性。推进计算是完成Haavelmo与Wald所勾勒基础的首要任务。

Abstract

Haavelmo (1944) proposed a probabilistic structure for econometric modeling, aiming to make econometrics useful for decision making. His fundamental contribution has become thoroughly embedded in econometric research, yet it could not answer all the deep issues that the author raised. Notably, Haavelmo struggled to formalize the implications for decision making of the fact that models can at most approximate actuality. In the same period, Wald (1939, 1945) initiated his own seminal development of statistical decision theory. Haavelmo favorably cited Wald, but econometrics did not embrace statistical decision theory. Instead, it focused on study of identification, estimation, and statistical inference. This paper proposes use of statistical decision theory to evaluate the performance of models in decision making. I consider the common practice of as‐if optimization : specification of a model, point estimation of its parameters, and use of the point estimate to make a decision that would be optimal if the estimate were accurate. A central theme is that one should evaluate as‐if optimization or any other model‐based decision rule by its performance across the state space, listing all states of nature that one believes feasible, not across the model space. I apply the theme to prediction and treatment choice. Statistical decision theory is conceptually simple, but application is often challenging. Advancing computation is the primary task to complete the foundations sketched by Haavelmo and Wald.
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