Structural Methods for Labor Economics Fall 2008 Course
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Monte Carlo Simulations of the Nested Fixed-Point Algorithm
MONTE CARLO SIMULATIONS OF THE NESTED FIXED-POINT ALGORITHM Erik P. Johnson Working Paper # WP2011-011 October 2010 http://www.econ.gatech.edu/research/wokingpapers School of Economics Georgia Institute of Technology 221 Bobby Dodd Way Atlanta, GA 30332–0615 c by Erik P. Johnson. All rights reserved. Short sections of text, not to exceed two paragraphs, may be quoted without explicit permission provided that full credit, including c notice, is given to the source. Monte Carlo Simulations of the Nested Fixed-Point Algorithm Erik P. Johnson Working Paper # WP2011-11 October 2010 JEL No. C18, C63 ABSTRACT There have been substantial advances in dynamic structural models and in the economet- ric literature about techniques to estimate those models over the past two decades. One area in which these new developments has lagged is in studying robustness to distribu- tional assumptions and finite sample properties in small samples. This paper extends our understanding of the behavior of these estimation techniques by replicating John Rust’s (1987) influential paper using the nested fixed-point algorithm (NFXP) and then using Monte Carlo techniques to examine the finite sample properties of the estimator. I then examine the consequences of the distributional assumptions needed to estimate the model on the parameter estimates. I find that even in sample sizes of up to 8,000 observations, the NFXP can display finite sample bias and variances substantially larger than the theoret- ical asymptotic variance. This is also true with departures from distributional assumptions, with the mean square error increasing by a factor of 10 for some distributions of unobserved variables. -
Bayesian Estimation of Dynamic Discrete Choice Models*
Bayesian Estimation of Dynamic Discrete Choice Models* Susumu Imai Concordia University and CIREQ Neelam Jain Northern Illinois University and Andrew Ching Rotman School of Management University of Toronto January, 2005 * Please direct all correspondence to Susumu Imai, Department of Economics, Concordia University, 1455 de Maisonneuve Blvd. W., Montreal, QC H3G 1M8, Canada, email: [email protected], phone: (514)848-2424 X 3907, or Neelam Jain, Department of Economics, Northern Illinois University, 508 Zulauf Hall, DeKalb, IL 60115, email: [email protected], phone: (815)753-6964. Abstract We propose a new estimator for dynamic programming discrete choice models. Our estimation method combines the Dynamic Programming algorithm with a Bayesian Markov Chain Monte Carlo algorithm into one single Markov Chain algorithm that solves the dynamic programming problem and estimates the parameters at the same time. Our key innovation is that during each solution-estimation iteration both the parameters and the expected value function are updated only once. This is in contrast to the conventional estimation methods where at each estimation iteration the dynamic programming problem needs to be fully solved. A single dynamic programming solution requires repeated updates of the expected value functions. As a result, in our algorithm the computational burden of estimating a dynamic model is of similar order of magnitude as that of a static model. Another feature of our algorithm is that even though per estimation iteration, we keep the number of grid points on the state variable small, we can make the number of effective grid points as large as we want by simply increasing the number of estimation iterations. -
DP Econometrics 2
This document was generated at 9:20 AM on Friday, November 08, 2013 13 – Econometric Applications of Dynamic Programming AGEC 637 - 2013 I. Positive analysis using a DP foundation: Econometric applications of DP One of the most active areas of research involving numerical dynamic optimization, is the use of DP models in positive analysis. This work seeks to understand the nature of a particular problem being solved by a decision maker. 1 By specifying explicitly the optimization problem being solved, the analyst is able to estimate the parameters of a structural model, as opposed to the easier and more come reduced form approach. This approach was first develop by John Rust (1987) and I draw here directly on his original paper to explain how this is done. He provides a more complete description of his approach in Rust (1994a and 1994b). My focus here will be quite narrow and serves only as an introduction to this literature. A more generally and up-to-date review of approaches for the estimation of the parameters of dynamic optimization problems is provided by Keane et al. (2011). Recall that Rust’s paper was “Optimal Replacement of GMC Bus Engines: An Empirical Model of Harold Zurcher.” The state variable xt denotes the accumulated mileage (since last replacement) of the GMC bus engines of the bus fleet in the Madison, Wisconsin. Harold Zurcher must make the choice as to whether to carry out routine maintenance, θ θ i=0, or replace the engine, i=1. Each period the operating costs, c(xt, 1) where is a vector of parameters to be estimated. -
Present 1995-1996 Mark Bils, University of Rochester Bo Honore, Princeton U
DEPARTMENT OF ECONOMICS SHORT-TERM VISITORS 1995 – Present 1995-1996 Mark Bils, University of Rochester Bo Honore, Princeton University 1996-1997 George Loewenstein, Carnegie Mellon University Dan Peled, Technion - Israel Institute of Technology Motty Perry, Hebrew University of Jerusalem Arnold Zellner, University of Chicago 1997-1998 Costas Meghir, University College of London Dan Peled, Technion - Israel Institute of Technology Motty Perry, Hebrew University of Jerusalem Andrew Postlewaite, University of Pennsylvania 1998-1999 James J. Heckman, University of Chicago 1999-2000 Robert Trivers, Rutgers University Wilbert van der Klaauw, University of North Carolina - Chapel Hill 2000-2001 Richard Blundell, University College London Kyle Bagwell, Columbia University Dennis Epple, Carnegie-Mellon University -- CANCELLED Narayana Kocherlakota, University of Minnesota (Bank of Montreal) Dale Mortensen, Northwestern University 2001-2002 Peter Howitt, Brown University (Bank of Montreal) Bo Honore, Princeton University Tim Kehoe, University of Minnesota Antonio Merlo, University of Pennsylvania Peter Norman, University of Wisconsin Angela Redish, University of British Columbia (Bank of Montreal) 2002-2003 John Abowd, Cornell University George Neumann, Iowa University 2003-2004 Tyler Cowan, George Mason University Ayse Imrohoroglu, University of Southern California 2004-2005 Derek Neal, University of Chicago Christopher Flinn, New York University 2005-2006 Christopher Flinn, New York University Enrique Mendoza, University of Maryland Derek Allen -
Dynamic Random Utility
http://www.econometricsociety.org/ Econometrica, Vol. 87, No. 6 (November, 2019), 1941–2002 DYNAMIC RANDOM UTILITY MIRA FRICK Department of Economics, Yale University RYOTA IIJIMA Department of Economics, Yale University TOMASZ STRZALECKI Department of Economics, Harvard University The copyright to this Article is held by the Econometric Society. It may be downloaded, printed and re- produced only for educational or research purposes, including use in course packs. No downloading or copying may be done for any commercial purpose without the explicit permission of the Econometric So- ciety. For such commercial purposes contact the Office of the Econometric Society (contact information may be found at the website http://www.econometricsociety.org or in the back cover of Econometrica). This statement must be included on all copies of this Article that are made available electronically or in any other format. Econometrica, Vol. 87, No. 6 (November, 2019), 1941–2002 DYNAMIC RANDOM UTILITY MIRA FRICK Department of Economics, Yale University RYOTA IIJIMA Department of Economics, Yale University TOMASZ STRZALECKI Department of Economics, Harvard University We provide an axiomatic analysis of dynamic random utility, characterizing the stochastic choice behavior of agents who solve dynamic decision problems by maxi- mizing some stochastic process (Ut ) of utilities. We show first that even when (Ut ) is arbitrary, dynamic random utility imposes new testable across-period restrictions on be- havior, over and above period-by-period analogs of the static random utility axioms. An important feature of dynamic random utility is that behavior may appear history- dependent, because period-t choices reveal information about Ut , which may be serially correlated; however, our key new axioms highlight that the model entails specific limits on the form of history dependence that can arise. -
Dynamic Discrete Choice and Dynamic Treatment Effects
IZA DP No. 1790 Dynamic Discrete Choice and Dynamic Treatment Effects James J. Heckman Salvador Navarro DISCUSSION PAPER SERIES DISCUSSION PAPER October 2005 Forschungsinstitut zur Zukunft der Arbeit Institute for the Study of Labor Dynamic Discrete Choice and Dynamic Treatment Effects James J. Heckman University of Chicago and IZA Bonn Salvador Navarro University of Wisconsin-Madison Discussion Paper No. 1790 October 2005 IZA P.O. Box 7240 53072 Bonn Germany Phone: +49-228-3894-0 Fax: +49-228-3894-180 Email: [email protected] Any opinions expressed here are those of the author(s) and not those of the institute. Research disseminated by IZA may include views on policy, but the institute itself takes no institutional policy positions. The Institute for the Study of Labor (IZA) in Bonn is a local and virtual international research center and a place of communication between science, politics and business. IZA is an independent nonprofit company supported by Deutsche Post World Net. The center is associated with the University of Bonn and offers a stimulating research environment through its research networks, research support, and visitors and doctoral programs. IZA engages in (i) original and internationally competitive research in all fields of labor economics, (ii) development of policy concepts, and (iii) dissemination of research results and concepts to the interested public. IZA Discussion Papers often represent preliminary work and are circulated to encourage discussion. Citation of such a paper should account for its provisional character. A revised version may be available directly from the author. IZA Discussion Paper No. 1790 October 2005 ABSTRACT Dynamic Discrete Choice and Dynamic Treatment Effects This paper considers semiparametric identiÞcation of structural dynamic discrete choice models and models for dynamic treatment effects. -
14.461: Part I: Technological Change
14.461: Part I: Technological Change Daron Acemoglu September 13, 2011 This course will cover selected topics in theoretical and empirical analysis of technological change. The course will draw both on Acemoglu, Introduction to Modern Economic Growth, Princeton University Press, 2008, and research articles. There will be three problem sets, which will count towards 30% of your …nal grade for this part of the course. The remaining 70% will be from a one half hour …nal examination at the end of the course (time to be determined). Topics Review of Basic Models of Endogenous Technological Progress (two lectures) Main reading: Acemoglu, Daron (2008) Introduction to Modern Economic Growth, Chap- ters 13 and 14. Jones, Charles I (1995) “Timeseries Tests of Endogenous Growth Models” Quarterly Journal of Economics, 110. Other references: Aghion, Philippe and Peter Howitt (1992) “A Model of Growth Through Creative Destruction”Econometrica, 60, 323-351 Aghion, Philippe and Peter Howitt (2008) The Economics of Growth, MIT, Cambridge. Backus, David, Patrick J. Kehoe and Timothy J. Kehoe (1992) “In Search of Scale E¤ects in Trade and Growth.” Journal of Economic Theory, 58, pp. 377-409. Grossman, Gene and Elhanan Helpman (1991) “Quality Ladders in the The- ory of Growth”Review of Economic Studies, 58, 43-61. Moser, Petra (2005) “How Do Patent Laws In‡uence Innovation? Evidence from Nineteenth-Century World Fairs” American Economic Review 95, 1214- 1236. Romer, Paul (1987) “Growth Based on Increasing Returns due to Special- ization”American Economic Review Papers and Proceedings, 77, 56-62 1 Romer, Paul M. (1990) “Endogenous Technological Change,” Journal of Political Economy 98, S71-S102. -
A Dynamic Programming Model of Retirement Behavior
This PDF is a selection from an out-of-print volume from the National Bureau of Economic Research Volume Title: The Economics of Aging Volume Author/Editor: David A. Wise, editor Volume Publisher: University of Chicago Press Volume ISBN: 0-226-90295-1 Volume URL: http://www.nber.org/books/wise89-1 Conference Date: March 19-22, 1987 Publication Date: 1989 Chapter Title: A Dynamic Programming Model of Retirement Behavior Chapter Author: John P. Rust Chapter URL: http://www.nber.org/chapters/c11588 Chapter pages in book: (p. 359 - 404) 12 A Dynamic Programming Model of Retirement Behavior John Rust 12.1 Introduction This paper derives a model of the retirement behavior of older male workers from the solution to a stochastic dynamic programming prob- lem. The worker's objective is to maximize expected discounted utility over his remaining lifetime. At each time period t the worker chooses control variables (ct,dt) where ct denotes the level of consumption expenditures and dt denotes the decision whether to work full-time, part-time, or to exit the labor force. The model accounts for the se- quential nature of the retirement decision problem and the role of expectations of the uncertain future values of state variables (xt) such as the worker's future lifespan, health status, marital or family status, employment status, and earnings from employment, assets, Social Se- curity retirement, disability, and Medicare payments. Given specific assumptions about workers' preferences and expectations, the model generates a predicted stochastic process for the variables {ct,dt,xt}. This paper, however, focuses on the inverse or "revealed preference" prob- lem: given data on {ct,dt,xt}, how can one go backward and "uncover" the worker's underlying preferences and expectations? One can formalize the revealed preference problem as a problem of statistical inference. -
IO Reading List
Economics 257 – MGTECON 630 Fall 2020 Professor José Ignacio Cuesta [email protected] Professor Liran Einav [email protected] Professor Paulo Somaini [email protected] Industrial Organization I: Reading List I. Imperfect Competition: Background Bresnahan, Tim “Empirical Studies with Market Power,” Handbook of Industrial Organization, vol. II, chap. 17. Einav, Liran and Jonathan Levin. “Empirical Industrial Organization: A Progress Report,” Journal of Economic Perspectives, 24(2), 145-162 (2010). Tirole, Jean. The Theory of Industrial Organization, Cambridge, MA: MIT Press, 1988. A. Test of Market Power Ashenfelter, O., and D. Sullivan, “Nonparametric Tests of Market Structure: An Application to the Cigarette Industry,” Journal of Industrial Economics 35, 483-498, (1989). Baker, J., and T. Bresnahan, “Estimating the residual demand curve facing a single firm,” International Journal of Industrial Organization 6(3), 283-300, (1988). Corts, K., “Conduct Parameters and the Measurement of Market Power,” Journal of Econometrics 88, 227-225, (1999). Genesove, D. and W. Mullin, “Testing Static Oligopoly Models: Conduct and Cost in the Sugar Industry, 1890-1914,” Rand Journal of Economics 29(2), 355-377, (1989). Stigler, G. “A Theory of Oligopoly,” The Journal of Political Economy, 72(1), 44-61, (1964) Sumner, D., “Measurement of Monopoly Behavior: An Application to the Cigarette Industry,” Journal of Political Economy 89, 1010-1019, (1981). Wolfram, C., “Measurement of Monopoly Behavior: An Application to the Cigarette Industry,” American Economic Review 89($), 805-826, (1999). B. Differentiated Products Anderson, S. P., A. de Palma, and J. F. Thisse, Discrete Choice Theory of Product Differentiation, Chapters 1-5, Cambridge: MIT Press, (1992). Caplin, A., and B. -
NBER WORKING PAPER SERIES DO INCREASING MARKUPS MATTER? LESSONS from EMPIRICAL INDUSTRIAL ORGANIZATION Steven T. Berry Martin Ga
NBER WORKING PAPER SERIES DO INCREASING MARKUPS MATTER? LESSONS FROM EMPIRICAL INDUSTRIAL ORGANIZATION Steven T. Berry Martin Gaynor Fiona Scott Morton Working Paper 26007 http://www.nber.org/papers/w26007 NATIONAL BUREAU OF ECONOMIC RESEARCH 1050 Massachusetts Avenue Cambridge, MA 02138 June 2019 We wish to thank Al Klevorick and editors at the Journal of Economics Perspectives—Enrico Moretti, Gordon Hanson, and managing editor Tim Taylor—for helpful comments and suggestions that substantially improved the paper. The usual caveat applies. The views expressed herein are those of the authors and do not necessarily reflect the views of the National Bureau of Economic Research. At least one co-author has disclosed a financial relationship of potential relevance for this research. Further information is available online at http://www.nber.org/papers/w26007.ack NBER working papers are circulated for discussion and comment purposes. They have not been peer-reviewed or been subject to the review by the NBER Board of Directors that accompanies official NBER publications. © 2019 by Steven T. Berry, Martin Gaynor, and Fiona Scott Morton. All rights reserved. Short sections of text, not to exceed two paragraphs, may be quoted without explicit permission provided that full credit, including © notice, is given to the source. Do Increasing Markups Matter? Lessons from Empirical Industrial Organization Steven T. Berry, Martin Gaynor, and Fiona Scott Morton NBER Working Paper No. 26007 June 2019 JEL No. L0,L1,L4 ABSTRACT This paper considers the recent literature on firm markups in light of both new and classic work in the field of Industrial Organization. We detail the shortcomings of papers that rely on discredited approaches from the “structure-conduct-performance” literature. -
A Dynamic Discrete-Continuous Choice Model for Car Ownership and Usage
A dynamic discrete-continuous choice model for car ownership and usage Estimation procedure Aurélie Glerum Emma Frejinger Anders Karlström Muriel Beser Hugosson Michel Bierlaire April 2014 A dynamic discrete-continuous choice model for car ownership and usage April 2014 A dynamic discrete-continuous choice model for car own- ership and usage Aurélie Glerum, Michel Bierlaire Emma Frejinger School of Architecture, Civil and Environmental Faculté des arts et des sciences, Department of Engineering (ENAC), Transport and Mobility Computer Science and Operations Research Laboratory (TRANSP-OR) Université de Montréal École Polytechnique Fédérale de Lausanne Montréal, Canada (EPFL) Lausanne, Switzerland Anders Karlström, Muriel Beser Hugosson School of Architecture and the Built Environment, Department of Transport Science Royal Institute of Technology (KTH) Stockholm, Sweden April 2014 Abstract This research focuses on the formulation of a dynamic discrete-continuous choice model to explain and predict individuals’ choices regarding car ownership, choice of fuel type and choice of annual driving distance. Its main contribution is to integrate dynamic choice modeling for multiple-car households and discrete-continuous choice modeling. This paper presents the formulation of the model and its estimation on synthetic data. Keywords Dynamic discrete-continuous choice modeling, dynamic programming, discrete choice model- ing, constant elasticity of substitution, car ownership and usage modeling. Front picture: Shell Spirit and Motor Oils, René Vincent, 1926. i A dynamic discrete-continuous choice model for car ownership and usage April 2014 1 Introduction Numerous governments have in the past implemented policies aiming at reducing green house gas emissions and favoring the introduction of alternative fuel vehicles in the market. -
Semiparametric Estimation of Dynamic Discrete Choice Models
SEMIPARAMETRIC ESTIMATION OF DYNAMIC DISCRETE CHOICE MODELS NICHOLAS BUCHHOLZ?, MATTHEW SHUMy, AND HAIQING XUz ABSTRACT. We consider the estimation of dynamic binary choice models in a semiparametric setting, in which the per-period utility functions are known up to a finite number of parameters, but the distribution of utility shocks is left unspecified. This semiparametric setup differs from most of the existing identification and estimation literature for dynamic discrete choice models. To show identification we derive and exploit a new recursive representation for the unknown quantile function of the utility shocks. Our estimators are straightforward to compute, and resem- ble classic closed-form estimators from the literature on semiparametric regression and average derivative estimation. Monte Carlo simulations demonstrate that our estimator performs well in small samples. Keywords: Semiparametric estimation, Dynamic discrete choice model, Average derivative esti- mation, Fredholm integral operators JEL: C14, D91, C41, L91 Date: Thursday 26th September, 2019. ∗We thank Hassan Afrouzi, Saroj Bhattarai, Stephane Bonhomme, Denis Chetverikov, Kirill Pogorelskiy, Eduardo Souza-Rodrigues, Tang Srisuma, and seminar participants at Academia Sinica, Arizona, Carnegie-Mellon, Chicago, Colorado (Boulder), Duke, Einaudi Institute, Irvine, Washington (Seattle), UT Austin, Wisconsin, Yale, and Texas Metrics Camp for helpful discussions. ?Department of Economics, Princeton University, [email protected]. yDivision of Humanities and Social Sciences, California Institute of Technology, [email protected]. zDepartment of Economics, University of Texas at Austin, [email protected]. 1 1. INTRODUCTION The dynamic discrete choice (DDC) framework, pioneered by Wolpin (1984), Pakes (1986), Rust (1987, 1994), has gradually become the workhorse model for modelling dynamic decision processes in structural econometrics.