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This video explores John Rust's seminal 1987 Econometrica paper "Optimal Replacement of GMC Bus Engines: An Empirical Model of Harold Zurcher," one of the most influential empirical papers in economics over the past 40 years and winner of the 1992 Frisch Medal. We dig into how Rust modeled the optimal stopping problem faced by Harold Zurcher, superintendent of maintenance at the Madison, Wisconsin Metropolitan Bus Company, as he decided when to replace bus engines versus performing routine maintenance. This paper pioneered the application of dynamic programming methods to real-world economic problems and launched an entire literature on dynamic discrete choice models. Slides used in the video are available here: https://raw.githack.com/tyleransom/st... Source code for the slides is here: https://github.com/tyleransom/structu... Scientific Reference: Rust, John. "Optimal Replacement of GMC Bus Engines: An Empirical Model of Harold Zurcher." Econometrica 55, no. 5 (1987): 999–1033. https://doi.org/10.2307/1911259. Topics Covered: The optimal stopping problem: Trading off premature replacement costs versus breakdown costs in bus engine maintenance decisions State variables and flow utilities: How mileage, replacement costs, and scrap value determine the bus engine replacement decision Mileage transitions and choice probabilities: Discretizing the state space and estimating transition probabilities for engine wear The Nested Fixed Point (NFXP) algorithm: Solving infinite horizon dynamic programming problems with an outer loop for likelihood maximization and inner loop for value function iteration Testing myopic versus forward-looking behavior: Empirical evidence that Harold Zurcher acted as a forward-looking agent rather than making shortsighted decisions Why reduced-form approaches fail: When there's limited variation in replacement costs, traditional regression methods cannot produce reliable demand curve estimates The power of structural models for counterfactual analysis: How structural approaches enable answering "what-if" policy questions about contexts not observed in the data External validity through deep parameters: Using primitive structural parameters to predict behavior beyond the observed sample Economic importance of replacement decisions: How inventory and equipment replacement drives investment volatility and business cycle dynamics Computational constraints and methodological innovation: How 1987 computing limitations shaped model design while establishing scalable methodology This methodology has since been applied to countless economic problems involving dynamic decision-making under uncertainty, from firm investment decisions to consumer durables purchases to labor market transitions. Tyler Ransom is an Associate Professor of Economics at the University of Oklahoma. Subscribe for more videos on data science, econometrics, and research methods! #Econometrics #StructuralEconometrics #DynamicProgramming #Economics #DataScience #Research #JohnRust #busenginereplacement #optimalstoppingproblem #dynamicdiscretechoice #structuraleconometrics #nestedfixedpointalgorithm #NFXP #HaroldZurcher #Econometrica #FrischMedal #dynamicprogramming #valuefunctioniteration #infinitehorizonmodels #optimalreplacement #inventorymanagement #durablegoods #maintenancedecisions #empiricalindustrialorganization #computationaleconomics #structuralestimation #counterfactualanalysis #forward-lookingbehavior #myopicbehavior #statetransitions #Bellmanequation #discretechoicemodels #appliedmicroeconomics #quantitativeeconomics #economicmodeling #policyevaluation #structuralparameters #deepparameters #reducedformversusstructural #externalvalidity #identification #maximumlikelihoodestimation #dynamicoptimization #Rustmodel #Madisonbuscompany #GMCbuses #mileagetransitions #replacementdemand #costfunctions #unobservedheterogeneity #flowutility #continuationvalue #choiceprobabilities #likelihoodmaximization #economicdynamics #businesscycle #investmentvolatility #transportationeconomics #operationsresearch #econometricmethods #economictheory #empiricaleconomics #graduateeconometrics #PhDeconomics #researchmethodology #economichistory #landmarkpapers #economicsresearch #appliedeconometrics #microeconometrics #structuralmodeling #dynamicmodels #computationalmethods #economicapplications #policyanalysis #causalinference #economicdecisions #optimalcontrol #stochasticdynamicprogramming #Markovdecisionprocess #numericalmethods #economicseducation #econometrictheory #economicsteaching #econometricstutorial #economicsvideo #academiceconomics #economicresearchmethods