Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/313165 
Year of Publication: 
2022
Citation: 
[Journal:] Quantitative Marketing and Economics [ISSN:] 1573-711X [Volume:] 20 [Issue:] 2 [Publisher:] Springer US [Place:] New York, NY [Year:] 2022 [Pages:] 179-238
Publisher: 
Springer US, New York, NY
Abstract: 
This paper develops a method to flexibly adapt interpolation grids of value function approximations in the estimation of dynamic models using either NFXP (Rust, Econometrica: Journal of the Econometric Society, 55, 999–1033,  30 ) or MPEC (Su & Judd, Econometrica: Journal of the Econometric Society, 80, 2213–2230, 36 ). Since MPEC requires the grid structure for the value function approximation to be hard-coded into the constraints, one cannot apply iterative node insertion for grid refinement; for NFXP, grid adaption by (iteratively) inserting new grid nodes will generally lead to discontinuous likelihood functions. Therefore, we show how to continuously adapt the grid by moving the nodes, a technique referred to as r -adaption. We demonstrate how to obtain optimal grids based on the balanced error principle, and implement this approach by including additional constraints to the likelihood maximization problem. The method is applied to two models: (i) the bus engine replacement model (Rust, 30 ), modified to feature a continuous mileage state, and (ii) to a dynamic model of content consumption using original data from one of the world's leading user-generated content networks in the domain of music.
Subjects: 
Numerical dynamic programming
Mathematical programming with equilibrium constraints
r-adaptive grid refinement
Equi-oscillation
JEL: 
C25
C63
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by Logo
Document Type: 
Article
Document Version: 
Published Version

Files in This Item:
File
Size





Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.