Robust Pricing with Limited Demand Information
Authors:
- Jiahao LiuJLJiahao Liu
- Tianle SongTSTianle Song
- Junxi WuJWJunxi Wu
Preprint
- 1 January 2025
- preprint
- Published by Elsevier in SSRN Electronic Journal
Abstract
We study monopoly pricing under limited demand information with a competitive-ratio objective, defined as the minimum ratio of realized profit to ex post optimal profit across all admissible demand curves. We characterize the unique price that maximizes the competitive ratio and identify representative inverse demand curves that attain this ratio. Moreover, we argue that the competitive-ratio criterion can be more attractive than the worst-case-profit criterion from a realized-profit perspective. The model also provides a tractable framework for analyzing pricing with arbitrary patterns of observed demand data and with an uncertain choke price.Keywords
This publication has 20 references indexed in Scilit:
- Monopoly pricing with unknown demandThe Scandinavian Journal of Economics, 2024
- Axioms for minimax regret choice correspondencesJournal of Economic Theory, 2011
- Robust monopoly pricingJournal of Economic Theory, 2011
- Monopoly pricing with limited demand informationJournal of Revenue and Pricing Management, 2010
- Pricing without PriorsJournal of the European Economic Association, 2008
- The Uncertainty Effect: When a Risky Prospect is Valued Less than its Worst Possible OutcomeThe Quarterly Journal of Economics, 2006
- Optimal Pricing Mechanisms with Unknown DemandAmerican Economic Review, 2003
- The effectiveness of English auctionsGames and Economic Behavior, 2003
- Maxmin expected utility with non-unique priorJournal of Mathematical Economics, 1989
- Statistical Decision Theory and Bayesian Analysis1985