Dynamic Pricing with a Prior on Market Response

We study a problem of dynamic pricing faced by a vendor with limited inventory, uncertain about demand, aiming to maximize expected discounted revenue over an infinite time horizon. The vendor learns from purchase data, so his strategy must take into account the impact of price on both revenue an...

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Bibliographic Details
Main Authors: Farias, Vivek F., Van Roy, Benjamin
Other Authors: Sloan School of Management
Format: Article
Language:en_US
Published: Institute for Operations Research and the Management Sciences 2011
Online Access:http://hdl.handle.net/1721.1/64802
https://orcid.org/0000-0002-5856-9246
Description
Summary:We study a problem of dynamic pricing faced by a vendor with limited inventory, uncertain about demand, aiming to maximize expected discounted revenue over an infinite time horizon. The vendor learns from purchase data, so his strategy must take into account the impact of price on both revenue and future observations. We focus on a model in which customers arrive according to a Poisson process of uncertain rate, each with an independent, identically distributed reservation price. Upon arrival, a customer purchases a unit of inventory if and only if his reservation price equals or exceeds the vendor’s prevailing price.