IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v247y2025ics0165176525000321.html
   My bibliography  Save this article

Jacobian-free Efficient Pseudo-Likelihood (EPL) algorithm

Author

Listed:
  • Fukasawa, Takeshi

Abstract

This study proposes a simple procedure for computing Efficient Pseudo Likelihood (EPL) estimator (Dearing and Blevins, 2024) for estimating dynamic discrete games, without computing Jacobians of equilibrium constraints. It utilizes the ideas of numerical derivatives and the Krylov method.

Suggested Citation

  • Fukasawa, Takeshi, 2025. "Jacobian-free Efficient Pseudo-Likelihood (EPL) algorithm," Economics Letters, Elsevier, vol. 247(C).
    • Handle: RePEc:eee:ecolet:v:247:y:2025:i:c:s0165176525000321
    DOI: 10.1016/j.econlet.2025.112195
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176525000321
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econlet.2025.112195?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Michael Egesdal & Zhenyu Lai & Che‐Lin Su, 2015. "Estimating dynamic discrete‐choice games of incomplete information," Quantitative Economics, Econometric Society, vol. 6(3), pages 567-597, November.
    2. Adam Dearing S.C. & Jason R Blevins, 2025. "Efficient and Convergent Sequential Pseudo-Likelihood Estimation of Dynamic Discrete Games," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 92(2), pages 981-1021.
    3. Mitsuru Igami, 2017. "Estimating the Innovator’s Dilemma: Structural Analysis of Creative Destruction in the Hard Disk Drive Industry, 1981–1998," Journal of Political Economy, University of Chicago Press, vol. 125(3), pages 798-847.
    4. Victor Aguirregabiria & Pedro Mira, 2007. "Sequential Estimation of Dynamic Discrete Games," Econometrica, Econometric Society, vol. 75(1), pages 1-53, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Taisuke Otsu & Martin Pesendorfer, 2021. "Equilibrium multiplicity in dynamic games: testing and estimation," STICERD - Econometrics Paper Series 618, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    2. Victor Aguirregabiria & Mathieu Marcoux, 2021. "Imposing equilibrium restrictions in the estimation of dynamic discrete games," Quantitative Economics, Econometric Society, vol. 12(4), pages 1223-1271, November.
    3. Takeshi Fukasawa, 2024. "Jacobian-free Efficient Pseudo-Likelihood (EPL) Algorithm," Papers 2410.20029, arXiv.org.
    4. Victor Aguirregabiria, 2021. "Identification of firms’ beliefs in structural models of market competition," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 54(1), pages 5-33, February.
    5. Victor Aguirregabiria & Margaret Slade, 2017. "Empirical models of firms and industries," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 50(5), pages 1445-1488, December.
    6. Blevins, Jason R. & Kim, Minhae, 2024. "Nested Pseudo likelihood estimation of continuous-time dynamic discrete games," Journal of Econometrics, Elsevier, vol. 238(2).
    7. Sasaki, Yuya & Takahashi, Yuya & Xin, Yi & Hu, Yingyao, 2023. "Dynamic discrete choice models with incomplete data: Sharp identification," Journal of Econometrics, Elsevier, vol. 236(1).
    8. Yue Liu & Rong Luo, 2023. "Network Effects and Multinetwork Sellers’ Dynamic Pricing in the U.S. Smartphone Market," Management Science, INFORMS, vol. 69(6), pages 3297-3318, June.
    9. Luo, Yao & Xiao, Ping & Xiao, Ruli, 2022. "Identification of dynamic games with unobserved heterogeneity and multiple equilibria," Journal of Econometrics, Elsevier, vol. 226(2), pages 343-367.
    10. Adam Dearing S.C. & Jason R Blevins, 2025. "Efficient and Convergent Sequential Pseudo-Likelihood Estimation of Dynamic Discrete Games," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 92(2), pages 981-1021.
    11. Chenyu Yang, 2020. "Vertical structure and innovation: A study of the SoC and smartphone industries," RAND Journal of Economics, RAND Corporation, vol. 51(3), pages 739-785, September.
    12. Taisuke Otsu & Martin Pesendorfer, 2023. "Equilibrium multiplicity in dynamic games: Testing and estimation," The Econometrics Journal, Royal Economic Society, vol. 26(1), pages 26-42.
    13. Michael W. Walrath, 2016. "Entry Models Applied to Churches: Could Protestants use a Catholic Bishop to Solve Excess Entry?," Journal of Industrial Economics, Wiley Blackwell, vol. 64(3), pages 557-588, September.
    14. Repullo, Rafael & Elizalde, Abel, 2004. "Economic and Regulatory Capital: What is the Difference?," CEPR Discussion Papers 4770, C.E.P.R. Discussion Papers.
    15. Alexandre Janiak & Paulo Santos Monteiro, 2011. "Inflation and Welfare in Long‐Run Equilibrium with Firm Dynamics," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(5), pages 795-834, August.
    16. Norets, Andriy & Shimizu, Kenichi, 2024. "Semiparametric Bayesian estimation of dynamic discrete choice models," Journal of Econometrics, Elsevier, vol. 238(2).
    17. Taisuke Otsu & Martin Pesendorfer & Yuya Sasaki & Yuya Takahashi, 2022. "Estimation Of (Static Or Dynamic) Games Under Equilibrium Multiplicity," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(3), pages 1165-1188, August.
    18. Aamir Rafique Hashmi & Johannes Van Biesebroeck, 2016. "The Relationship between Market Structure and Innovation in Industry Equilibrium: A Case Study of the Global Automobile Industry," The Review of Economics and Statistics, MIT Press, vol. 98(1), pages 192-208, March.
    19. Paul Ellickson & Sanjog Misra, 2012. "Enriching interactions: Incorporating outcome data into static discrete games," Quantitative Marketing and Economics (QME), Springer, vol. 10(1), pages 1-26, March.
    20. Otsu, Taisuke & Pesendorfer, Martin & Takahashi, Yuya, 2013. "Testing for Equilibrium Multiplicity in Dynamic Markov Games," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 423, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.

    More about this item

    Keywords

    EPL; Jacobian-free; Krylov method; Jacobian-vector product; Dynamic discrete game;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ecolet:v:247:y:2025:i:c:s0165176525000321. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.