Papers
Topics
Authors
Recent
Search
2000 character limit reached

Fast and simple inner-loop algorithms of static / dynamic BLP estimations

Published 6 Apr 2024 in econ.EM | (2404.04494v5)

Abstract: This study investigates computationally efficient inner-loop algorithms for estimating static/dynamic BLP models. It provides the following ideas for reducing the number of inner-loop iterations: (1). Add a term relating to the outside option share in the BLP contraction mapping; (2). Analytically represent the mean product utilities as a function of value functions and solve for value functions (for dynamic BLP); (3). Combine an acceleration method of fixed-point iterations, especially the Anderson acceleration. They are independent and easy to implement. This study shows the good performance of these methods using numerical experiments.

Authors (1)
Definition Search Book Streamline Icon: https://streamlinehq.com
References (43)
  1. Imposing equilibrium restrictions in the estimation of dynamic discrete games. Quantitative Economics, 12(4):1223–1271.
  2. Conditional choice probability estimation of dynamic discrete choice models with unobserved heterogeneity. Econometrica, 79(6):1823–1867.
  3. Two-point step size gradient methods. IMA journal of numerical analysis, 8(1):141–148.
  4. Automobile prices in market equilibrium. Econometrica, 63(4):841–890.
  5. Voluntary export restraints on automobiles: Evaluating a trade policy. American Economic Review, 89(3):400–431.
  6. The pure characteristics demand model. International Economic Review, 48(4):1193–1225.
  7. Berry, S. T. (1994). Estimating discrete-choice models of product differentiation. The RAND Journal of Economics, 25(2):242–262.
  8. Yogurts choose consumers? estimation of random-utility models via two-sided matching. The Review of Economic Studies, 89(6):3085–3114.
  9. Best practices for differentiated products demand estimation with pyblp. The RAND Journal of Economics, 51(4):1108–1161.
  10. Conlon, C. T. (2012). A dynamic model of prices and margins in the lcd tv industry. mimeo, Columbia University, 80:1433–1504.
  11. A positive barzilai–borwein-like stepsize and an extension for symmetric linear systems. In Numerical Analysis and Optimization: NAO-III, Muscat, Oman, January 2014, pages 59–75. Springer.
  12. Doi, N. (2022). A simple method to estimate discrete-type random coefficients logit models. International Journal of Industrial Organization, 81:102825.
  13. SQUAREM: An R package for off-the-shelf acceleration of EM, MM and other EM-like monotone algorithms. arXiv preprint arXiv:1810.11163.
  14. Improving the numerical performance of static and dynamic aggregate discrete choice random coefficients demand estimation. Econometrica, 80(5):2231–2267.
  15. Fukasawa, T. (2024). When do firms sell high durability products? The case of Light Bulb Industry. mimeo.
  16. Goeree, M. S. (2008). Limited information and advertising in the us personal computer industry. Econometrica, 76(5):1017–1074.
  17. Dynamics of consumer demand for new durable goods. Journal of Political Economy, 120(6):1173–1219.
  18. Nested logit or random coefficients logit? A comparison of alternative discrete choice models of product differentiation. Review of Economics and Statistics, 96(5):916–935.
  19. Measuring the implications of sales and consumer inventory behavior. Econometrica, 74(6):1637–1673.
  20. A new nonmonotone spectral residual method for nonsmooth nonlinear equations. Journal of Computational and Applied Mathematics, 313:82–101.
  21. Igami, M. (2017). Estimating the innovator’s dilemma: Structural analysis of creative destruction in the hard disk drive industry, 1981–1998. Journal of Political Economy, 125(3):798–847.
  22. Iizuka, T. (2007). Experts’ agency problems: evidence from the prescription drug market in japan. The RAND journal of economics, 38(3):844–862.
  23. Acceleration of the EM algorithm by using quasi-Newton methods. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 59(3):569–587.
  24. Judd, K. L. (1998). Numerical methods in economics. MIT press.
  25. Kalouptsidi, M. (2012). From market shares to consumer types: Duality in differentiated product demand estimation. Journal of Applied Econometrics, 27(2):333–342.
  26. Linear iv regression estimators for structural dynamic discrete choice models. Journal of Econometrics.
  27. Nonparametric identification of finite mixture models of dynamic discrete choices. Econometrica, 77(1):135–175.
  28. Sequential estimation of structural models with a fixed point constraint. Econometrica, 80(5):2303–2319.
  29. Spectral residual method without gradient information for solving large-scale nonlinear systems of equations. Mathematics of computation, 75(255):1429–1448.
  30. A computationally fast estimator for random coefficients logit demand models using aggregate data. The RAND Journal of Economics, 46(1):86–102.
  31. Revisiting the nested fixed-point algorithm in blp random coefficients demand estimation. Economics Letters, 149:67–70.
  32. Applied computational economics and finance. MIT press.
  33. Nevo, A. (2001). Measuring market power in the ready-to-eat cereal industry. Econometrica, 69(2):307–342.
  34. Computing Markov-Perfect Nash Equilibria: Numerical Implications of a Dynamic Differentiated Product Model. The RAND Journal of Economics, 25(4):555.
  35. Comparing procedures for estimating random coefficient logit demand models with a special focus on obtaining global optima. International Journal of Industrial Organization, 88:102950.
  36. Enhencing the convergence properties of the BLP (1995) contraction mapping.
  37. Fast, detail-free, and approximately correct: Estimating mixed demand systems. Technical report, Working paper.
  38. Schiraldi, P. (2011). Automobile replacement: a dynamic structural approach. The RAND journal of economics, 42(2):266–291.
  39. Shcherbakov, O. (2016). Measuring consumer switching costs in the television industry. The RAND Journal of Economics, 47(2):366–393.
  40. A computationally efficient fixed point approach to dynamic structural demand estimation. Journal of Econometrics, 208(2):563–584.
  41. BB: An R package for solving a large system of nonlinear equations and for optimizing a high-dimensional nonlinear objective function. Journal of statistical software, 32:1–26.
  42. Simple and globally convergent methods for accelerating the convergence of any EM algorithm. Scandinavian Journal of Statistics, 35(2):335–353.
  43. Jacobian computation-free newton method for systems of non-linear equations. Journal of numerical Mathematics and stochastics, 2(1):54–63.
Citations (1)

Summary

No one has generated a summary of this paper yet.

Paper to Video (Beta)

No one has generated a video about this paper yet.

Whiteboard

No one has generated a whiteboard explanation for this paper yet.

Open Problems

We haven't generated a list of open problems mentioned in this paper yet.

Continue Learning

We haven't generated follow-up questions for this paper yet.

Collections

Sign up for free to add this paper to one or more collections.

Tweets

Sign up for free to view the 1 tweet with 0 likes about this paper.