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Sequential Estimation of Dynamic Discrete Games: A Comment

Author

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  • Martin Pesendorfer
  • Philipp Schmidt-Dengler

Abstract

Recursive procedures which are based on iterating on the best response mapping have difficulties converging to all equilibria in multi-player games. We illustrate these difficulties by revisiting the asymptotic properties of the iterative nested pseudo maximum likelihood method for estimating dynamic games introduced by Aguirregabiria and Mira (2007). An example shows that the iterative method may not be consistent. Copyright 2010 The Econometric Society.

Suggested Citation

  • Martin Pesendorfer & Philipp Schmidt-Dengler, 2010. "Sequential Estimation of Dynamic Discrete Games: A Comment," Econometrica, Econometric Society, vol. 78(2), pages 833-842, March.
    • Handle: RePEc:ecm:emetrp:v:78:y:2010:i:2:p:833-842
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    Cited by:

    1. Victor Aguirregabiria & Victor Aguirregabiria & Aviv Nevo & Aviv Nevo, 2010. "Recent Developments in Empirical IO: Dynamic Demand and Dynamic Games," Working Papers tecipa-419, University of Toronto, Department of Economics.
    2. Paul B. Ellickson & Sanjog Misra, 2011. "Structural Workshop Paper --Estimating Discrete Games," Marketing Science, INFORMS, vol. 30(6), pages 997-1010, November.
    3. 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.
    4. Adam Dearing & Jason R. Blevins, 2019. "Efficient and Convergent Sequential Pseudo-Likelihood Estimation of Dynamic Discrete Games," Papers 1912.10488, arXiv.org, revised Nov 2023.
    5. 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.
    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. Naoaki Minamihashi, 2012. "Natural Monopoly and Distorted Competition: Evidence from Unbundling Fiber-Optic Networks," Staff Working Papers 12-26, Bank of Canada.
    8. Wang, Jin, 2021. "Do birds of a feather flock together? Platform’s quality screening and end-users’ choices theory and empirical study of online trading platforms," International Journal of Industrial Organization, Elsevier, vol. 75(C).
    9. Marleen Marra, 2019. "Pricing and Fees in Auction Platforms with Two-Sided Entry," Working Papers hal-03393068, HAL.
    10. Pesendorfer, Martin & Gentry, Matthew, 2018. "Price Reference Effects in Consumer Demand," CEPR Discussion Papers 13382, C.E.P.R. Discussion Papers.
    11. Alex Centeno, 2022. "A Structural Model for Detecting Communities in Networks," Papers 2209.08380, arXiv.org, revised Oct 2022.
    12. repec:hal:spmain:info:hdl:2441/5kht5rc22p99sq5tol4efe4ssb is not listed on IDEAS
    13. repec:hal:wpspec:info:hdl:2441/5kht5rc22p99sq5tol4efe4ssb is not listed on IDEAS
    14. A. Ronald Gallant & Han Hong & Ahmed Khwaja, 2018. "The Dynamic Spillovers of Entry: An Application to the Generic Drug Industry," Management Science, INFORMS, vol. 64(3), pages 1189-1211, March.
    15. Hong, Han & Li, Weiming & Wang, Boyu, 2015. "Estimation of dynamic discrete models from time aggregated data," Journal of Econometrics, Elsevier, vol. 188(2), pages 435-446.
    16. 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.
    17. Coublucq, Daniel, 2013. "Demand estimation with selection bias: A dynamic game approach with an application to the US railroad industry," DICE Discussion Papers 94, Heinrich Heine University Düsseldorf, Düsseldorf Institute for Competition Economics (DICE).
    18. Erdmann, Anett, 2015. "The role of captive consumers in retailers' location choices," UC3M Working papers. Economics we1507, Universidad Carlos III de Madrid. Departamento de Economía.
    19. 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.
    20. Patrick Bajari & Victor Chernozhukov & Han Hong & Denis Nekipelov, 2015. "Identification and Efficient Semiparametric Estimation of a Dynamic Discrete Game," NBER Working Papers 21125, National Bureau of Economic Research, Inc.
    21. Peter Arcidiacono & Robert A. Miller, 2011. "Conditional Choice Probability Estimation of Dynamic Discrete Choice Models With Unobserved Heterogeneity," Econometrica, Econometric Society, vol. 79(6), pages 1823-1867, November.
    22. Che-Lin Su, 2014. "Estimating discrete-choice games of incomplete information: Simple static examples," Quantitative Marketing and Economics (QME), Springer, vol. 12(2), pages 167-207, June.
    23. 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.

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