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Sequential Search Auctions with a Deadline

Lee, Joosung; Li, Daniel Z.

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Authors

Joosung Lee

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Daniel Li daniel.li@durham.ac.uk
Associate Professor



Abstract

A seller wants to allocate an indivisible product among a number of potential buyers by a finite deadline, and to contact a buyer, she needs to pay a positive search cost. We investigate the optimal mechanism for this problem, and show that its outcomes can be implemented by a sequence of second-price auctions. The optimal sequential search auction is characterized by declining reserve prices and increasing search intensities (sample sizes) over time, and the monotonicity results are robust in both cases of short-lived and long-lived bidders. When bidders are long-lived the optimal reserve prices demonstrate a one-step-ahead property, and our results generalize the well-known results in sequential search problems (Weitzman, 1979). We further examine an efficient search mechanism, and show that it is featured by both lower reserve prices and search intensities than an optimal search mechanism.

Citation

Lee, J., & Li, D. Z. (2018). Sequential Search Auctions with a Deadline

Publication Date Jan 1, 2018
Deposit Date May 23, 2019
Publicly Available Date May 23, 2019
Series Title Durham University Business School working papers series
Public URL https://durham-repository.worktribe.com/output/1169213
Publisher URL https://www.dur.ac.uk/business/research/economics/working-papers/

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