| 来源类型 | Discussion paper |
| 规范类型 | 论文 |
| 来源ID | DP11300 |
| DP11300 Solution and Estimation of Dynamic Discrete Choice Structural Models Using Euler Equations | |
| Victor Aguirregabiria; Arvind Magesan | |
| 发表日期 | 2016-05-26 |
| 出版年 | 2016 |
| 语种 | 英语 |
| 摘要 | This paper extends the Euler Equation (EE) representation of dynamic decision problems to a general class of discrete choice models and shows that the advantages of this approach apply not only to the estimation of structural parameters but also to the computation of a solution and to the evaluation of counterfactual experiments. We use a choice probabilities representation of the discrete decision problem to derive marginal conditions of optimality with the same features as the standard EEs in continuous decision problems. These EEs imply a fixed point mapping in the space of conditional choice values, that we denote the Euler equation-value (EE-value) operator. We show that, in contrast to Euler equation operators in continuous decision models, this operator is a contraction. We present numerical examples that illustrate how solving the model by iterating in the EE-value mapping implies substantial computational savings relative to iterating in the Bellman equation (that requires a much larger number of iterations) or in the policy function (that involves a costly valuation step). We define a sample version of the EE-value operator and use it to construct a sequence of consistent estimators of the structural parameters, and to evaluate counterfactual experiments. The computational cost of evaluating this sample-based EE-value operator increases linearly with sample size, and provides an unbiased (in finite samples) and consistent estimator the counterfactual. As such there is no curse of dimensionality in the consistent estimation of the model and in the evaluation of counterfactual experiments. We illustrate the computational gains of our methods using several Monte Carlo experiments. |
| 主题 | Industrial Organization |
| URL | https://cepr.org/publications/dp11300 |
| 来源智库 | Centre for Economic Policy Research (United Kingdom) |
| 资源类型 | 智库出版物 |
| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/540117 |
| 推荐引用方式 GB/T 7714 | Victor Aguirregabiria,Arvind Magesan. DP11300 Solution and Estimation of Dynamic Discrete Choice Structural Models Using Euler Equations. 2016. |
| 条目包含的文件 | 条目无相关文件。 | |||||
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