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Identification and Estimation of a Search Model with Heterogeneous Consumers and Firms

Myśliwski, M., Rostom, M., Sanches, F. , Silva Junior, D. ORCID: 0000-0002-0706-0802 & Srisuma, S. (2025). Identification and Estimation of a Search Model with Heterogeneous Consumers and Firms. Journal of Econometrics, 249(Part B), article number 105956. doi: 10.1016/j.jeconom.2025.105956

Abstract

We propose a model of nonsequential consumer search where consumers and firms differ in search and production costs respectively. We characterize the equilibrium of the game. We first show the distribution of search cost can be identified by market shares and prices. Subsequently, we identify the production cost distribution using a similar strategy to Guerre, Perrigne and Vuong (2000) as the firms' decision problems resemble bidders' problems in a particular procurement auction. We prove the firms' cost density can be estimated at the same convergence rate as the optimal rate in Guerre et al. uniformly over any fixed subset on the interior of the support. The uniform convergence rate over any expanding support is slower due to a pole in the price pdf that is a feature of the equilibrium. Our simulation study conforms the theoretical features of the model. Our identification and convergence rate results also apply to two generalizations of the baseline search model that allow for: (i) vertically differentiated products; (ii) an intermediary. We apply the latter model to study loan search using UK mortgage data.

Publication Type: Article
Additional Information: © 2025. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/
Publisher Keywords: Auctions, Kernel Smoothing, Nonparametric Identification, Search Costs
Subjects: H Social Sciences > HB Economic Theory
Departments: School of Policy & Global Affairs
School of Policy & Global Affairs > Economics
SWORD Depositor:
[thumbnail of MS2021124.pdf] Text - Accepted Version
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