Sequentially Optimal Pricing under Informational Robustness

Fuente: arXiv
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Hauptverfasser: Li, Zihao, Libgober, Jonathan, Mu, Xiaosheng
Format: Preprint
Veröffentlicht: 2022
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author Li, Zihao
Libgober, Jonathan
Mu, Xiaosheng
author_facet Li, Zihao
Libgober, Jonathan
Mu, Xiaosheng
contents A seller sells an object over time but is uncertain how the buyer learns their willingness-to-pay. We consider informational robustness under \textit{limited commitment}, where the seller offers a price \textit{each period} to maximize expected continuation profit against worst-case learning. Our formulation considers the worst case \textit{sequentially}. We characterize an essentially unique equilibrium under general conditions. We further show that, under mild conditions on the prior distribution, the equilibrium profit coincides exactly with the profit guaranteed by the equilibrium price path even under arbitrary (unrestricted) learning processes.
format Preprint
id arxiv_https___arxiv_org_abs_2202_04616
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Sequentially Optimal Pricing under Informational Robustness
Li, Zihao
Libgober, Jonathan
Mu, Xiaosheng
Theoretical Economics
A seller sells an object over time but is uncertain how the buyer learns their willingness-to-pay. We consider informational robustness under \textit{limited commitment}, where the seller offers a price \textit{each period} to maximize expected continuation profit against worst-case learning. Our formulation considers the worst case \textit{sequentially}. We characterize an essentially unique equilibrium under general conditions. We further show that, under mild conditions on the prior distribution, the equilibrium profit coincides exactly with the profit guaranteed by the equilibrium price path even under arbitrary (unrestricted) learning processes.
title Sequentially Optimal Pricing under Informational Robustness
topic Theoretical Economics
url https://arxiv.org/abs/2202.04616