Technical Note—Dynamic Pricing and Demand Learning with Limited Price Experimentation

In a dynamic pricing problem where the demand function is not known a priori, price experimentation can be used as a demand learning tool. Existing literature usually assumes no constraint on price changes, but in practice, sellers often face business constraints that prevent them from conducting ex...

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Main Authors: Cheung, Wang Chi, Simchi-Levi, David, Wang, He
Other Authors: Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
Format: Article
Language:en_US
Published: Institute for Operations Research and the Management Sciences (INFORMS) 2018
Online Access:http://hdl.handle.net/1721.1/119156
https://orcid.org/0000-0003-2809-9623
https://orcid.org/0000-0002-4650-1519
https://orcid.org/0000-0001-7444-2053
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author Cheung, Wang Chi
Simchi-Levi, David
Wang, He
author2 Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
author_facet Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
Cheung, Wang Chi
Simchi-Levi, David
Wang, He
author_sort Cheung, Wang Chi
collection MIT
description In a dynamic pricing problem where the demand function is not known a priori, price experimentation can be used as a demand learning tool. Existing literature usually assumes no constraint on price changes, but in practice, sellers often face business constraints that prevent them from conducting extensive experimentation. We consider a dynamic pricing model where the demand function is unknown but belongs to a known finite set. The seller is allowed to make at most m price changes during T periods. The objective is to minimize the worst-case regret—i.e., the expected total revenue loss compared with a clairvoyant who knows the demand distribution in advance. We demonstrate a pricing policy that incurs a regret of O(log(m)T), or m iterations of the logarithm. Furthermore, we describe an implementation of this pricing policy at Groupon, a large e-commerce marketplace for daily deals. The field study shows significant impact on revenue and bookings.
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spelling mit-1721.1/1191562022-09-30T08:09:07Z Technical Note—Dynamic Pricing and Demand Learning with Limited Price Experimentation Cheung, Wang Chi Simchi-Levi, David Wang, He Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Massachusetts Institute of Technology. Institute for Data, Systems, and Society Massachusetts Institute of Technology. Operations Research Center David Simchi-Levi Cheung, Wang Chi Simchi-Levi, David Wang, He In a dynamic pricing problem where the demand function is not known a priori, price experimentation can be used as a demand learning tool. Existing literature usually assumes no constraint on price changes, but in practice, sellers often face business constraints that prevent them from conducting extensive experimentation. We consider a dynamic pricing model where the demand function is unknown but belongs to a known finite set. The seller is allowed to make at most m price changes during T periods. The objective is to minimize the worst-case regret—i.e., the expected total revenue loss compared with a clairvoyant who knows the demand distribution in advance. We demonstrate a pricing policy that incurs a regret of O(log(m)T), or m iterations of the logarithm. Furthermore, we describe an implementation of this pricing policy at Groupon, a large e-commerce marketplace for daily deals. The field study shows significant impact on revenue and bookings. 2018-11-16T19:11:55Z 2018-11-16T19:11:55Z 2017-11 Article http://purl.org/eprint/type/JournalArticle 0030-364X 1526-5463 http://hdl.handle.net/1721.1/119156 Cheung, Wang Chi, et al. “Technical Note—Dynamic Pricing and Demand Learning with Limited Price Experimentation.” Operations Research, vol. 65, no. 6, Dec. 2017, pp. 1722–31. https://orcid.org/0000-0003-2809-9623 https://orcid.org/0000-0002-4650-1519 https://orcid.org/0000-0001-7444-2053 en_US http://dx.doi.org/10.1287/opre.2017.1629 Operations Research Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Institute for Operations Research and the Management Sciences (INFORMS) Prof. Simchi-Levi via Elizabeth Soergel
spellingShingle Cheung, Wang Chi
Simchi-Levi, David
Wang, He
Technical Note—Dynamic Pricing and Demand Learning with Limited Price Experimentation
title Technical Note—Dynamic Pricing and Demand Learning with Limited Price Experimentation
title_full Technical Note—Dynamic Pricing and Demand Learning with Limited Price Experimentation
title_fullStr Technical Note—Dynamic Pricing and Demand Learning with Limited Price Experimentation
title_full_unstemmed Technical Note—Dynamic Pricing and Demand Learning with Limited Price Experimentation
title_short Technical Note—Dynamic Pricing and Demand Learning with Limited Price Experimentation
title_sort technical note dynamic pricing and demand learning with limited price experimentation
url http://hdl.handle.net/1721.1/119156
https://orcid.org/0000-0003-2809-9623
https://orcid.org/0000-0002-4650-1519
https://orcid.org/0000-0001-7444-2053
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