EconBase
← All papers

Dynamic Discrete-Continuous Choice Models: Identification and Conditional Choice Probability Estimation

Christophe Bruneel-Zupanc

arXiv 23 Apr 2025 · Econometrics · 6 citations (OpenAlex)

arXiv:2504.16630 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This paper develops a general framework for dynamic models in which individuals simultaneously make both discrete and continuous choices. The framework incorporates a wide range of unobserved heterogeneity. I show that such models are nonparametrically identified. Based on constructive identification arguments, I build a novel two-step estimation method in the lineage of Hotz and Miller (1993) and Arcidiacono and Miller (2011) but extended to simultaneous discrete-continuous choice. In the first step, I recover the (type-dependent) optimal choices with an expectation-maximization algorithm and instrumental variable quantile regression. In the second step, I estimate the primitives of the model taking the estimated optimal choices as given. The method is especially attractive for complex dynamic models because it significantly reduces the computational burden associated with their estimation compared to alternative full solution methods.

Citation extraction

63
references
202
in-text mentions
63
distinct cited
1
self-citations
22,963
main-text words

appendix boundary found by appendix_command · 69% of the source is main text. Read the extracted text to check this.

Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Hotz, V. J. and R. A. Miller (1993) Conditional Choice Probabilities and the Estimation of Dynamic Models1.000215100%
2Arcidiacono, P. and R. A. Miller (2011) Conditional Choice Probability Estimation of Dynamic Discrete Choice Models With Unobserved Heterogeneity1.000167100%
3Iskhakov, F., T. H. Jørgensen, J. Rust, and B. Schjerning (2017) The endogenous grid method for discrete-continuous dynamic choice models with (or without) taste shocks1.000124100%
4Blundell, R., T. Magnac, and C. Meghir (1997) Savings and Labor-Market Transitions1.00093100%
5Blundell, R., M. Costa Dias, C. Meghir, and J. Shaw (2016) Female Labor Supply, Human Capital, and Welfare Reform1.00053100%
6Chernozhukov, V. and C. Hansen (2005) An IV Model of Quantile Treatment Effects0.97715493%
7Chernozhukov, V. and C. Hansen (2006) Instrumental quantile regression inference for structural and treatment effect models0.92844100%
8Carroll, C. D (2006) The method of endogenous gridpoints for solving dynamic stochastic optimization problems0.92843100%
9Rust, J (1987) Optimal Replacement of GMC Bus Engines: An Empirical Model of Harold Zurcher0.92843100%
10Escanciano, J. C., S. Hoderlein, A. Lewbel, O. Linton, and S. Srisuma (2021) Nonparametric Euler Equation Identification and Estimation0.87462100%

Showing the top 10 of 63 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
11420 Identification with possibly invalid IVs0.51121
2Estimating Individual Responses when Tomorrow Matters0.40511