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用于政策选择的实验中的适应性处理分配

Adaptive Treatment Assignment in Experiments for Policy Choice
Econometrica · 2021 · Maximilian Kasy、Anja Sautmann

中文摘要

标准实验设计旨在进行点估计与假设检验,而多臂老虎机算法旨在优化样本内结果。在此,我们转而考虑在包含多个轮次的实验中进行处理分配,以便在实验结束时从一组可能的政策(处理)中选择最优者。我们提出了一种计算上易于处理的分配算法,称之为“探索抽样”,其中每轮的分配概率是每种处理为最优的后验概率的递增凹函数。我们证明了该算法的渐近最优性结果,并在校准模拟中展示了相较于非适应性设计与多臂老虎机算法的福利改进。一项在印度农业推广服务中对六种不同招募策略进行选择的应用证明了其实际可行性。

Abstract

Standard experimental designs are geared toward point estimation and hypothesis testing, while bandit algorithms are geared toward in‐sample outcomes. Here, we instead consider treatment assignment in an experiment with several waves for choosing the best among a set of possible policies (treatments) at the end of the experiment. We propose a computationally tractable assignment algorithm that we call “exploration sampling,” where assignment probabilities in each wave are an increasing concave function of the posterior probabilities that each treatment is optimal. We prove an asymptotic optimality result for this algorithm and demonstrate improvements in welfare in calibrated simulations over both non‐adaptive designs and bandit algorithms. An application to selecting between six different recruitment strategies for an agricultural extension service in India demonstrates practical feasibility.
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