# Mike Harrison, Stanford University

Event Details
• Date/Time:
• Thursday February 18, 2010 - Friday February 19, 2010
10:00 am - 10:59 am
• Location: TBD
• Phone:
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• Email:
• Fee(s):
N/A
• Extras:
Contact

Ton Dieker, ISyE
Contact Ton Dieker
404-385-3140

Summaries

Summary Sentence: Joint Statistics/OR Colloquium Dynamic policies to learn and earn in a customized pricing context

Full Summary: Motivated by applications in financial services, we consider the following customized pricing problem. A seller of some good or service (like auto loans or small business loans) confronts a sequence of potential customers numbered 1, 2, ”¦ , T. These customers are drawn at random from a population characterized by a price-response function Ï(p). That is, if the seller offers price p, then the probability of a successful sale is Ï(p). The profit realized from a successful sale is Ï€(p) = p âˆ' c, where c > 0 is known.

Speaker
Michael Harrison
Stanford University

Abstract
Motivated by applications in financial services, we consider the following customized pricing problem. A seller of some good or service (like auto loans or small business loans) confronts a sequence of potential customers numbered 1, 2, â€¦ , T. These customers are drawn at random from a population characterized by a price-response function Ï(p). That is, if the seller offers price p, then the probability of a successful sale is Ï(p). The profit realized from a successful sale is Ï€(p) = p âˆ' c, where c > 0 is known.

If the price-response function Ï(-) were also known, then the problem of finding a price p* to maximize Ï(p)Ï€(p) would be simple, and the seller would offer price p* to each of the T customers. We consider the more complicated case where Ï(-) is fixed but initially unknown: roughly speaking, the seller wants to choose prices sequentially so as to maximize the total profit earned from the T potential customers; each successive choice involves a trade-off between refined estimation of the unknown price-response function (learning) and immediate profit (earning).

* Joint work with Bora Keskin and Assaf Zeevi

In Campus Calendar
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Groups

School of Industrial and Systems Engineering (ISYE)

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Seminar/Lecture/Colloquium
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Status
• Created By: Mike Alberghini
• Workflow Status: Published
• Created On: Dec 20, 2012 - 11:04am
• Last Updated: Oct 7, 2016 - 10:01pm