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Estimating Sequential Search Models Based on a Partial Ranking Representation

Tinghan Zhang

arXiv 13 Jan 2025 · Econometrics

arXiv:2501.07514 · PDF · Extracted main text

Abstract

The rapid growth of online shopping has made consumer search data increasingly available, opening up new possibilities for empirical research. Sequential search models offer a structured approach for analyzing such data, but their estimation remains difficult. This is because consumers make optimal decisions based on private information revealed in search, which is not observed in typical data. As a result, the model's likelihood function involves high-dimensional integrals that require intensive simulation. This paper introduces a new representation that shows a consumer's optimal search decision-making can be recast as a partial ranking over all actions available throughout the consumer's search process. This reformulation yields the same choice probabilities as the original model but leads to a simpler likelihood function that relies less on simulation. Based on this insight, we provide identification arguments and propose a modified GHK-style simulator that improves both estimation performances and ease of implementation. The proposed approach also generalizes to a wide range of model variants, including those with incomplete search data and structural extensions such as search with product discovery. It enables a tractable and unified estimation strategy across different settings in sequential search models, offering both a new perspective on understanding sequential search and a practical tool for its application.

Citation extraction

59
references
189
in-text mentions
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distinct cited
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main-text words

appendix boundary found by appendix_command · 56% of the source is main text. Read the extracted text to check this.

Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Weitzman, Martin (1979) Optimal search for the best alternative1.000114100%
2Ursu, Raluca and Seiler, Stephan and Honka, Elisabeth (2025) The sequential search model: A framework for empirical research1.00093100%
3Compiani, Giovanni and Lewis, Gregory and Peng, Sida and Wang, Peichun (2024) Online Search and Optimal Product Rankings: An Empirical Framework0.9619589%
4Moraga-González, José Luis and Sándor, Zsolt and Wildenbeest, Matthi… (2023) Consumer search and prices in the automobile market0.9285480%
5Jiang, Zhenling and Chan, Tat and Che, Hai and Wang, Youwei (2021) Consumer search and purchase: An empirical investigation of retargeting based on consumer online behaviors0.9285380%
6Morozov, Ilya (2023) Measuring benefits from new products in markets with information frictions0.9285380%
7Onzo, Kohei and Ansari, Asim (2025) Bayesian nonparametric sequential search0.9285380%
8Morozov, Ilya and Seiler, Stephan and Dong, Xiaojing and Hou, Liwen (2021) Estimation of preference heterogeneity in markets with costly search0.8746467%
9Greminger, Rafael P (2022) Optimal search and discovery0.87462100%
10Chen, Yuxin and Yao, Song (2017) Sequential search with refinement: Model and application with click-stream data0.8434375%

Showing the top 10 of 59 scored citations.