EconBase
← All papers

Jacobian-free Efficient Pseudo-Likelihood (EPL) Algorithm

Takeshi Fukasawa

arXiv 26 Oct 2024 · Econometrics · publishedEconomics Letters (2025)

arXiv:2410.20029 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This study proposes a simple procedure to compute Efficient Pseudo Likelihood (EPL) estimator proposed by Dearing and Blevins (2024) for estimating dynamic discrete games, without computing Jacobians of equilibrium constraints. EPL estimator is efficient, convergent, and computationally fast. However, the original algorithm requires deriving and coding the Jacobians, which are cumbersome and prone to coding mistakes especially when considering complicated models. The current study proposes to avoid the computation of Jacobians by combining the ideas of numerical derivatives (for computing Jacobian-vector products) and the Krylov method (for solving linear equations). It shows good computational performance of the proposed method by numerical experiments.

Citation extraction

7
references
15
in-text mentions
7
distinct cited
0
self-citations
3,863
main-text words

appendix boundary found by appendix_command · 91% 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
1Dearing, A. and Blevins, J. R (2024) Efficient and convergent sequential pseudo-likelihood estimation of dynamic discrete games1.00073100%
2Aguirregabiria, V. and Mira, P (2007) Sequential estimation of dynamic discrete games0.64422100%
3Egesdal, M., Lai, Z., and Su, C.-L (2015) Estimating dynamic discrete-choice games of incomplete information0.64422100%
4Igami, M (2017) Estimating the innovator's dilemma: Structural analysis of creative destruction in the hard disk drive industry, 1981–19980.40511100%
5Kelley, C. T (2003) Solving nonlinear equations with Newton's method0.40511100%
6Saad, Y (2003) Iterative methods for sparse linear systems0.40511100%
7Judd, K. L (1998) Numerical methods in economics0.000110%

Showing the top 7 of 7 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
1Sequential algorithm for structural estimations with equilibrium constraints0.51121