Fast and simple inner-loop algorithms of static / dynamic BLP estimations
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.
- Imposing equilibrium restrictions in the estimation of dynamic discrete games. Quantitative Economics, 12(4):1223–1271.
- Conditional choice probability estimation of dynamic discrete choice models with unobserved heterogeneity. Econometrica, 79(6):1823–1867.
- Two-point step size gradient methods. IMA journal of numerical analysis, 8(1):141–148.
- Automobile prices in market equilibrium. Econometrica, 63(4):841–890.
- Voluntary export restraints on automobiles: Evaluating a trade policy. American Economic Review, 89(3):400–431.
- The pure characteristics demand model. International Economic Review, 48(4):1193–1225.
- Berry, S. T. (1994). Estimating discrete-choice models of product differentiation. The RAND Journal of Economics, 25(2):242–262.
- Yogurts choose consumers? estimation of random-utility models via two-sided matching. The Review of Economic Studies, 89(6):3085–3114.
- Best practices for differentiated products demand estimation with pyblp. The RAND Journal of Economics, 51(4):1108–1161.
- Conlon, C. T. (2012). A dynamic model of prices and margins in the lcd tv industry. mimeo, Columbia University, 80:1433–1504.
- 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.
- Doi, N. (2022). A simple method to estimate discrete-type random coefficients logit models. International Journal of Industrial Organization, 81:102825.
- SQUAREM: An R package for off-the-shelf acceleration of EM, MM and other EM-like monotone algorithms. arXiv preprint arXiv:1810.11163.
- Improving the numerical performance of static and dynamic aggregate discrete choice random coefficients demand estimation. Econometrica, 80(5):2231–2267.
- Fukasawa, T. (2024). When do firms sell high durability products? The case of Light Bulb Industry. mimeo.
- Goeree, M. S. (2008). Limited information and advertising in the us personal computer industry. Econometrica, 76(5):1017–1074.
- Dynamics of consumer demand for new durable goods. Journal of Political Economy, 120(6):1173–1219.
- 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.
- Measuring the implications of sales and consumer inventory behavior. Econometrica, 74(6):1637–1673.
- A new nonmonotone spectral residual method for nonsmooth nonlinear equations. Journal of Computational and Applied Mathematics, 313:82–101.
- 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.
- Iizuka, T. (2007). Experts’ agency problems: evidence from the prescription drug market in japan. The RAND journal of economics, 38(3):844–862.
- Acceleration of the EM algorithm by using quasi-Newton methods. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 59(3):569–587.
- Judd, K. L. (1998). Numerical methods in economics. MIT press.
- Kalouptsidi, M. (2012). From market shares to consumer types: Duality in differentiated product demand estimation. Journal of Applied Econometrics, 27(2):333–342.
- Linear iv regression estimators for structural dynamic discrete choice models. Journal of Econometrics.
- Nonparametric identification of finite mixture models of dynamic discrete choices. Econometrica, 77(1):135–175.
- Sequential estimation of structural models with a fixed point constraint. Econometrica, 80(5):2303–2319.
- Spectral residual method without gradient information for solving large-scale nonlinear systems of equations. Mathematics of computation, 75(255):1429–1448.
- A computationally fast estimator for random coefficients logit demand models using aggregate data. The RAND Journal of Economics, 46(1):86–102.
- Revisiting the nested fixed-point algorithm in blp random coefficients demand estimation. Economics Letters, 149:67–70.
- Applied computational economics and finance. MIT press.
- Nevo, A. (2001). Measuring market power in the ready-to-eat cereal industry. Econometrica, 69(2):307–342.
- Computing Markov-Perfect Nash Equilibria: Numerical Implications of a Dynamic Differentiated Product Model. The RAND Journal of Economics, 25(4):555.
- Comparing procedures for estimating random coefficient logit demand models with a special focus on obtaining global optima. International Journal of Industrial Organization, 88:102950.
- Enhencing the convergence properties of the BLP (1995) contraction mapping.
- Fast, detail-free, and approximately correct: Estimating mixed demand systems. Technical report, Working paper.
- Schiraldi, P. (2011). Automobile replacement: a dynamic structural approach. The RAND journal of economics, 42(2):266–291.
- Shcherbakov, O. (2016). Measuring consumer switching costs in the television industry. The RAND Journal of Economics, 47(2):366–393.
- A computationally efficient fixed point approach to dynamic structural demand estimation. Journal of Econometrics, 208(2):563–584.
- 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.
- Simple and globally convergent methods for accelerating the convergence of any EM algorithm. Scandinavian Journal of Statistics, 35(2):335–353.
- Jacobian computation-free newton method for systems of non-linear equations. Journal of numerical Mathematics and stochastics, 2(1):54–63.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.