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arXiv 1808.02569econ.EM
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动态离散选择的机器学习

Machine Learning for Dynamic Discrete Choice

Vira Semenova

摘要:

动态离散选择模型通常将状态向量离散化并限制其维数,以实现有效的推理。我提出了一种新的两阶段估计集确定的结构参数,将一个高维的状态空间到不完全竞争的动态模型。在第一阶段,我估计的状态变量的运动规律和均衡政策函数使用机器学习工具。在第二阶段,我把第一阶段的估计插入到一个矩不等式中,并求解结构参数。矩函数表示为两个分量的和,其中第一个分量表示平衡假设,第二个分量是使和不敏感的偏差校正项(即,正交)到第一级偏置。所提出的估计一致收敛于根N速率,我用它来构建置信区域。这里开发的结果可用于将高维状态空间纳入经典的动态离散选择模型,例如Rust(1987),Bajari et al.(2007)和Scott(2013)中考虑的模型。

英文摘要:

Dynamic discrete choice models often discretize the state vector and restrict its dimension in order to achieve valid inference. I propose a novel two-stage estimator for the set-identified structural parameter that incorporates a high-dimensional state space into the dynamic model of imperfect competition. In the first stage, I estimate the state variable's law of motion and the equilibrium policy function using machine learning tools. In the second stage, I plug the first-stage estimates into a moment inequality and solve for the structural parameter. The moment function is presented as the sum of two components, where the first one expresses the equilibrium assumption and the second one is a bias correction term that makes the sum insensitive (i.e., orthogonal) to first-stage bias. The proposed estimator uniformly converges at the root-N rate and I use it to construct confidence regions. The results developed here can be used to incorporate high-dimensional state space into classic dynamic discrete choice models, for example, those considered in Rust (1987), Bajari et al. (2007), and Scott (2013).

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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