Dynamic Discrete Choice Structural Models: A Survey

This paper reviews methods for the estimation of dynamic discrete choice structural models and discusses related econometric issues. We consider single-agent models, competitive equilibrium models and dynamic games. The methods are illustrated with descriptions of empirical studies which have applied these techniques to problems in different areas of economics. Programming codes for some of the estimation methods are available in a companion web page.

[1]  Gerard Llobet,et al.  Regulation and Opportunism: How Much Activism Do We Need? , 2005 .

[2]  John Geweke,et al.  Bayesian inference for dynamic choice models without the need for dynamic programming , 1996 .

[3]  Andrew Sweeting,et al.  Dynamic Product Repositioning in Differentiated Product Markets: The Case of Format Switching in the Commercial Radio Industry , 2007 .

[4]  Victor Aguirregabiria,et al.  Sequential Estimation of Dynamic Discrete Games , 2007 .

[5]  Robert C. Miller,et al.  CCP Estimation of Dynamic Discrete Choice Models with Unobserved Heterogeneity , 2008 .

[6]  M. Satterthwaite,et al.  Foundations of Markov-Perfect Industry Dynamics: Existence, Purification, and Multiplicity , 2004 .

[7]  J. Stock,et al.  Three Models of Retirement: Computational Complexity Versus Predictive Validity , 1990 .

[8]  M. Keane,et al.  The Career Decisions of Young Men , 1997, Journal of Political Economy.

[9]  M. Keane,et al.  Exploring the Usefulness of a Nonrandom Holdout Sample for Model Validation: Welfare Effects on Female Behavior , 2007 .

[10]  F. Vella.  Estimating Models with Sample Selection Bias: A Survey , 1998 .

[11]  Anders Karlström,et al.  A dynamic programming approach to model the retirement behaviour of blue-collar workers in Sweden , 2004 .

[12]  Victor Aguirregabiria,et al.  An Estimable Dynamic Model of Entry, Exit and Growth in Oligopoly Retail Markets , 2007 .

[13]  Victor Aguirregabiria,et al.  Labor Contracts and Flexibility: Evidence from a Labor Market Reform in Spain , 2014 .

[14]  Gerard Llobet,et al.  Network size and network capture , 2006 .

[15]  Paola Rota,et al.  Estimating Labor Demand with Fixed Costs , 2004 .

[16]  Per Krusell,et al.  Income and Wealth Heterogeneity in the Macroeconomy , 1998, Journal of Political Economy.

[17]  Peter Arcidiacono,et al.  Finite Mixture Distributions, Sequential Likelihood and the EM Algorithm , 2003 .

[18]  Adeline Delavande,et al.  Pill, Patch, or Shot? Subjective Expectations and Birth Control Choice , 2005 .

[19]  Christopher Ferrall,et al.  Solving Finite Mixture Models: Efficient Computation in Economics Under Serial and Parallel Execution , 2005 .

[20]  Martin Pesendorfer,et al.  Asymptotic Least Squares Estimators for Dynamic Games , 2008 .

[21]  Antonio Merlo,et al.  A Political Economy Model of Congressional Careers , 2002 .

[22]  Max Bruche,et al.  Recovery rates , default probabilities , and the credit cycle , 2006 .

[23]  Paul B. Ellickson,et al.  The Dynamics of Retail Oligopoly , 2024, SSRN Electronic Journal.

[24]  Tony Lancaster.  Exact Structural Inference in Optimal Job Search Models , 1997 .

[25]  Daniel A. Ackerberg.  A new use of importance sampling to reduce computational burden in simulation estimation , 2001 .

[26]  Claudio Michelacci,et al.  The Effects of Labor Market Conditions on Working Time: The US-EU Experience , 2007 .

[27]  Kenneth I. Wolpin,et al.  Accounting for Wage and Employment Changes in the U.S. from 1968-2000: A Dynamic Model of Labor Market Equilibrium , 2010 .

[28]  V. J. Hotz,et al.  Conditional Choice Probabilities and the Estimation of Dynamic Models , 1993 .

[29]  Kenneth I. Wolpin,et al.  The Determinants of Black-White Differences in Early Employment Careers: Search, Layoffs, Quits, and Endogenous Wage Growth , 1992, Journal of Political Economy.

[30]  Enrique Sentana,et al.  Parametric Properties of Semi-Nonparametric Distributions, with Applications to Option Valuation , 2005 .

[31]  A. Elizalde,et al.  CREDIT RISK MODELS III: RECONCILIATION REDUCED - STRUCTURAL MODELS , 2006 .

[32]  Peter S. Arcidiacono.  Affirmative Action in Higher Education: How do Admission and Financial Aid Rules Affect Future Earnings? , 2005 .

[33]  A. Elizalde,et al.  Credit Risk Models IV: Understanding and pricing CDOs , 2006 .

[34]  Zvi Eckstein,et al.  Empirical Labor Search: A Survey , 2003 .

[35]  Victor Aguirregabiria.  Another Look at the Identification of Dynamic Discrete Decision Processes: With an Application to Retirement Behavior , 2010 .

[36]  Martin Pesendorfer,et al.  Estimation of a Dynamic Auction Game , 2001 .

[37]  Donghoon Lee,et al.  An Estimable Dynamic General Equilibrium Model of Work, Schooling, and Occupational Choice , 2005 .

[38]  S. Stern,et al.  Cohabitation, Marriage, and Divorce in a Model of Match Quality , 2006 .

[39]  Kenneth I. Wolpin,et al.  The Solution and Estimation of Discrete Choice Dynamic Programming Models by Simulation and Interpol , 1994 .

[40]  Robert J. Aumann,et al.  An Economic Index of Riskiness , 2008, Journal of Political Economy.

[41]  Todd R. Stinebrickner.  A Dynamic Model of Teacher Labor Supply , 2001, Journal of Labor Economics.

[42]  K. Wolpin,et al.  Social Security and the Retirement and Savings Behavior of Low Income Households. , 2008, Journal of econometrics.

[43]  Petra E. Todd,et al.  Assessing the Impact of a School Subsidy Program in Mexico: Using a Social Experiment to Validate a Dynamic Behavioral Model of Child Schooling and Fertility. , 2006, The American economic review.

[44]  M. Keane,et al.  Estimating Welfare Effects Consistent with Forward-Looking Behavior. Part Ii: Empirical Results , 2000 .

[45]  David Kjellberg.  Measuring Expectations , 1999, Identification Problems in the Social Sciences.

[46]  John Rust.  Optimal Replacement of GMC Bus Engines: An Empirical Model of Harold Zurcher , 1987 .

[47]  Jinyong Hahn,et al.  A likelihood-Based Approximate Solution to the Incidental Parameter Problem in Dynamic Nonlinear Models with Multiple Effects , 2016 .

[48]  M. Satterthwaite,et al.  Computable Markov-Perfect Industry Dynamics: Existence, Purification, and Multiplicity , 2007 .

[49]  Josep Pijoan-Mas,et al.  The flat tax reform: A general equilibrium evaluation for Spain , 2005 .

[50]  Allan Collard-Wexler,et al.  Demand Fluctuations and Plant Turnover in the Ready-Mix Concrete Industry , 2006 .

[51]  Jose S. Penalva,et al.  On Information and Competition in Private Value Auctions , 2006 .

[52]  V. Chernozhukov,et al.  Estimation and Confidence Regions for Parameter Sets in Econometric Models , 2007 .

[53]  Sumru Altug,et al.  The Effect of Work Experience on Female Wages and Labour Supply , 1998 .

[54]  J. Kadane.  Structural Analysis of Discrete Data with Econometric Applications , 1984 .

[55]  Namkee Ahn,et al.  Measuring the Value of Children by Sex and Age Using a Dynamic Programming Model , 1995 .

[56]  A. Pakes,et al.  Markov-Perfect Industry Dynamics: A Framework for Empirical Work , 1995 .

[57]  Donna B. Gilleskie,et al.  A Dynamic Stochastic Model of Medical Care Use and Work Absence , 1998 .

[58]  Robert A. Miller,et al.  Human capital development and welfare participation , 1997 .

[59]  Claudio Michelacci,et al.  Borrowing from Employees: Wage Dynamics with Financial Constraints , 2005 .

[60]  John Rust,et al.  Simulated Minimum Distance Estimation of a Model of Optimal Commodity Price Speculation with Endogenously Sampled Prices , 2003 .

[61]  Shapley Value.  COOPERATIVE GAMES : CORE AND SHAPLEY VALUE , 2022 .

[62]  Victor Aguirregabiria.  THE DYNAMICS OF MARKUPS AND INVENTORIES IN RETAILING FIRMS , 1999 .

[63]  Todd R. Stinebrickner,et al.  Using a Structural Retirement Model to Simulate the Effect of Changes to the OASDI and Medicare Programs , 2004 .

[64]  Steven Stern,et al.  Job Exit Behavior of Older Men , 1991 .

[65]  James Albrecht,et al.  An Equilibrium Model of Search Unemployment , 1984, Journal of Political Economy.

[66]  Robert A. Miller.  Job Matching and Occupational Choice , 1984, Journal of Political Economy.

[67]  Jesús Fernández-Villaverde,et al.  Convergence Properties of the Likelihood of Computed Dynamic Models , 2004 .

[68]  Kenneth I. Wolpin,et al.  The Effect of Parental Transfers and Borrowing Constraints On Educational Attainment , 1999 .

[69]  Wagner A. Kamakura,et al.  Book Review: Structural Analysis of Discrete Data with Econometric Applications , 1982 .

[70]  John Rust,et al.  Estimation of Dynamic Structural Models: Problems and Prospects , 1991 .

[71]  Anne Layne-Farrar,et al.  Royalty Stacking in High Tech Industries: Separating Myth from Reality , 2007 .

[72]  Alessandro Pinto,et al.  Land Use Change with Spatially Explicit Data: A Dynamic Approach , 2009 .

[73]  John Geweke,et al.  COMMENTS ON CONVERGENCE PROPERTIES OF THE LIKELIHOOD OF COMPUTED DYNAMIC MODELS , 2009 .

[74]  Zvi Eckstein,et al.  Why Youths Drop out of High School: The Impact of Preferences , 1999 .

[75]  Claudio Michelacci,et al.  Why So Many Local Entrepreneurs? , 2006, The Review of Economics and Statistics.

[76]  Anne Layne-Farrar,et al.  The Ex Ante Auction Model for the Control of Market Power in Standard Setting Organizations , 2007 .

[77]  Donna B. Gilleskie,et al.  Health Insurance and Retirement of Married Couples , 2006 .

[78]  Lance Lochner,et al.  Explaining Rising Wage Inequality: Explorations with a Dynamic General Equilibrium Model of Labor Earnings with Heterogeneous Agents , 1998 .

[79]  José-Víctor Ríos-Rull,et al.  Computation of equilibria in heterogeneous agent models , 1997 .

[80]  James J. Heckman,et al.  Explaining Rising Wage Inequality: Explorations with a Dynamic General Equilibrium Model of Labor Earnings with Heterogeneous Agents , 1998 .

[81]  D. McFadden,et al.  The method of simulated scores for the estimation of LDV models , 1998 .

[82]  Stéphane Bonhomme,et al.  Robust priors in nonlinear panel data models , 2007 .

[83]  Donna B. Gilleskie,et al.  The Role of Retiree Health Insurance in the Employment Behavior of Older Men , 2003 .

[84]  Christopher A. Sims,et al.  Advances in econometrics : Sixth World Congress , 1994 .

[85]  K. Wolpin.  An Estimable Dynamic Stochastic Model of Fertility and Child Mortality , 1984, Journal of Political Economy.

[86]  Rocío Sánchez Mangas.  Pseudo-maximum likelihood estimation of a dynamic structural investment model , 2002 .

[87]  Hiroyuki Kasahara,et al.  Nested Pseudo-likelihood Estimation and Bootstrap-based Inference for Structural Discrete Markov Decision Models , 2006 .

[88]  J. Heckman,et al.  A Method for Minimizing the Impact of Distributional Assumptions in Econometric Models for Duration Data , 1984 .

[89]  D. Kennet,et al.  Did Deregulation Affect Aircraft Engine Maintenance? An Empirical Policy Analysis , 1993 .

[90]  A. Elizalde,et al.  Credit risk models I: default correlation in intensity models , 2006 .

[91]  Victor Aguirregabiria,et al.  A Dynamic Oligopoly Game of the US Airline Industry: Estimation and Policy Experiments , 2012 .

[92]  Jesus M. Carro,et al.  A dynamic model of contraceptive choice of Spanish couples , 2006 .

[93]  Jinyong Hahn,et al.  Understanding Bias in Nonlinear Panel Models: Some Recent Developments ∗ , 2005 .

[94]  Paul A. Ruud,et al.  Handbook of Econometrics: Classical Estimation Methods for LDV Models Using Simulation , 1993 .

[95]  John Rust,et al.  Structural estimation of markov decision processes , 1986 .

[96]  Q. Vuong.  Likelihood Ratio Tests for Model Selection and Non-Nested Hypotheses , 1989 .

[97]  Stephen P. Ryan.  The Costs of Environmental Regulation in a Concentrated Industry , 2012 .

[98]  Kenneth I. Wolpin,et al.  Public-Policy Uses of Discrete-Choice Dynamic Programming Models , 1996 .

[99]  John Rust,et al.  How Social Security and Medicare affect retirement behavior in a world of incomplete markets , 1994 .

[100]  Sanjog Misra,et al.  Supermarket Pricing Strategies , 2008, Mark. Sci..

[101]  C. Manski,et al.  On the Use of Simulated Frequencies to Approximate Choice Probabilities , 1981 .

[102]  T. Magnac,et al.  Identifying Dynamic Discrete Decision Processes , 2002 .

[103]  Roberto Serrano,et al.  Arrow's Impossibility Theorem: Preference Diversity in a Single-Profile World , 2007 .

[104]  Andrew T. Ching,et al.  Bayesian Estimation of Dynamic Discrete Choice Models , 2009 .

[105]  A. Pakes.  Dynamic Structural Models: Problems and Prospects. Mixed Continuous Discrete Controls and Market Interactions , 1991 .

[106]  D. Andrews.  Chi-Square Diagnostic Tests for Econometric Models: Theory , 1988 .

[107]  David A. Wise.  Topics in the Economics of Aging , 1992 .

[108]  D. Mark Kennet,et al.  A Structural Model of Aircraft Engine Maintenance , 1994 .

[109]  Max Bruche,et al.  Estimating Structural Models of Corporate Bond Prices , 2019, World Scientific Reference on Contingent Claims Analysis in Corporate Finance.

[110]  Günter J. Hitsch,et al.  A Comparison of Discrete and Parametric Approximation Methods for Continuous-State Dynamic Programming Problems† , 2000 .

[111]  Victor Aguirregabiria,et al.  Swapping the Nested Fixed-Point Algorithm: a Class of Estimators for Discrete Markov Decision Models , 2002 .

[112]  Todd R. Stinebrickner.  Serially correlated variables in dynamic, discrete choice models , 2000 .

[113]  Laura Crespo Azofra,et al.  Caring for parents and employment status of european mid-life women , 2006 .

[114]  Han Hong,et al.  Semiparametric Estimation of a Dynamic Game of Incomplete Information , 2006 .

[115]  Steven Stern,et al.  Simulation-based estimation , 1997 .

[116]  Peter S. Arcidiacono.  Ability Sorting and the Returns to College Major , 2004 .

[117]  Gerard Llobet,et al.  Financing and the Protection of Innovators , 2005 .

[118]  Han Hong,et al.  Parameter Set Inference in a Class of Econometric Models , 2004 .

[119]  Josep Pijoan-Mas,et al.  Flat Tax Reforms in the Us: A Boon for the Income Poor , 2006 .

[120]  Roberto Serrano,et al.  El uso de sistemas dinámicos estocásticos en la teoría de juegos y la economía , 2007 .

[121]  A. Elizalde,et al.  From Basel I to Basel II: an analysis of the three pillars , 2007 .

[122]  M. Keane,et al.  Estimating Welfare Effects Consistent with Forward-Looking Behavior. Part I: Lessons from a Simulation Exercise , 2000 .

[123]  Geoffrey Rothwell,et al.  Optimal Response to a Shift in Regulatory Regime: The Case of the US Nuclear Power Industry , 1995 .

[124]  Kazuko Kano,et al.  Menu Costs, Strategic Interactions, and Retail Price Movements , 2006 .

[125]  Gerard Llobet,et al.  R&D in the Pharmaceutical Industry: A World of Small Innovations , 2009, Manag. Sci..

[126]  Kenneth I. Wolpin,et al.  Ex Ante Policy Evaluation, Structural Estimation and Model Selection , 2007 .

[127]  A. Elizalde,et al.  Credit risk models II: structural models , 2006 .

[128]  John Geweke,et al.  Monte carlo simulation and numerical integration , 1995 .

[129]  Dale T. Mortensen,et al.  Chapter 39 New developments in models of search in the labor market , 1999 .

[130]  M. Keane,et al.  Exploring the Usefulness of a Non-Random Holdout Sample for Model Validation: Welfare Effects on Female Behavior , 2005 .

[131]  C. L. Benkard,et al.  Estimating Dynamic Models of Imperfect Competition , 2004 .

[132]  M. Slade.  Optimal Pricing with Costly Adjustment: Evidence from Retail-Grocery Prices , 1998 .

[133]  Szabolcs Lorincz.  Persistence Effects in a Dynamic Discrete Choice Model: Application to Low-End Computer Servers , 2007 .

[134]  Michael Keane,et al.  A Computationally Practical Simulation Estimator for Panel Data , 1994 .

[135]  Zvi Eckstein,et al.  ESTIMATING A MARKET EQUILIBRIUM SEARCH MODEL FROM PANEL DATA ON INDIVIDUALS , 1990 .

[136]  K. Wolpin.  Estimating a Structural Search Model: The Transition from School to Work , 1987 .

[137]  Richard Schmalensee,et al.  Pricing Patents for Licensing in Standard Setting Organisations: Making Sense of FRAND Commitments , 2007 .

[138]  Javier Suarez,et al.  Hot and Cold Housing Markets: International Evidence , 2006 .

[139]  P. Mira,et al.  Uncertain Infant Mortality, Learning, and Life-Cycle Fertility , 2007 .

[140]  Kenneth I. Wolpin,et al.  Intersectoral Labor Mobility and the Growth of the Service Sector , 2004 .

[141]  A. Tversky,et al.  Prospect Theory : An Analysis of Decision under Risk Author ( s ) : , 2007 .

[142]  H. Kasahara,et al.  Nonparametric Identification of Finite Mixture Models of Dynamic Discrete Choices , 2009 .

[143]  T. Holmes.  The Diffusion of Wal-Mart and Economies of Density , 2008 .

[144]  Steven T. Berry,et al.  Simple Estimators for the Parameters of Discrete Dynamic Games (with Entry/Exit Examples) , 2004 .

[145]  Hiroyuki Kasahara,et al.  Nonparametric Identification and Estimation of Finite Mixture Models of Dynamic Discrete Choices , 2006 .

[146]  M. Keane,et al.  Brand and Quantity Choice Dynamics Under Price Uncertainty , 2003 .

[147]  Rafael Repullo,et al.  Liquidity, Risk-Taking and the Lender of Last Resort , 2005 .

[148]  K. Wolpin,et al.  The Specification and Estimation of Dynamic Stochastic Discrete Choice Models: A Survey , 1989 .

[149]  V. J. Hotz,et al.  A Simulation Estimator for Dynamic Models of Discrete Choice , 1994 .

[150]  C. Manski.  Dynamic choice in social settings: Learning from the experiences of others , 1993 .

[151]  Burton Hollifield,et al.  Empirical Analysis of Limit Order Markets , 2001 .

[152]  Sanghamitra Das,et al.  A Micro-Econometric Model of Capital Utilization and Retirement: The Case of the U.S. Cement Industry , 1992 .