Pricing
Set optimal prices that maximize revenue while keeping customers happy • 46 papers
Dynamic Pricing & Revenue Management
Adjust prices over time to maximize revenue
The Theory and Practice of Revenue Management
The definitive textbook on revenue management covering pricing, capacity control, and overbooking.
Dynamic Pricing in the Presence of Inventory Considerations
Framework for dynamic pricing with finite inventory and strategic consumers.
Pricing and Revenue Optimization
Comprehensive practitioner's guide to pricing strategy and optimization techniques.
Optimal Dynamic Pricing of Inventories with Stochastic Demand over Finite Horizons
The foundational paper for dynamic pricing theory—establishes intensity control formulation, proves optimality of monotonically decreasing prices. 4,000+ citations.
A Multiproduct Dynamic Pricing Problem and Its Applications to Network Yield Management
Extends dynamic pricing to multiple products sharing capacity constraints—the theoretical foundation for airline network revenue management and cloud computing.
Markdown & Clearance
Optimize discount timing to clear inventory profitably
Clearance Pricing and Inventory Policies for Retail Chains
Multi-location markdown optimization balancing store-level heterogeneity.
Dynamic Pricing with a Prior on Market Response
Bayesian approach to learning demand while optimizing markdown paths.
The Value of Fast Fashion: Quick Response, Enhanced Design, and Strategic Consumer Behavior
The definitive paper on fast fashion economics—models how Zara-style systems mitigate strategic consumer behavior and reduce markdowns.
Coordinating Clearance Markdown Sales of Seasonal Products in Retail Chains
Foundational paper on multi-store clearance optimization using stochastic dynamic programming with real Falabella case study.
Dynamic Pricing and Learning: Historical Origins, Current Research, and New Directions
The definitive survey on explore-exploit pricing literature—synthesizes OR/MS, economics, marketing, and CS covering regret bounds and bandit connections.
Surge & Real-time Pricing
Balance supply and demand in real time
Dynamic Pricing and Matching in Ride-Hailing Platforms
Joint optimization of pricing and matching in two-sided rideshare markets.
Surge Pricing Solves the Wild Goose Chase
Empirical analysis of Uber's surge pricing showing welfare improvements from reduced search frictions.
The Value of Flexible Work: Evidence from Uber Drivers
Estimates labor supply elasticity and value of flexibility using Uber driver data.
Economics of a Bottleneck
The workhorse model for dynamic congestion pricing theory—operationalized Vickrey's bottleneck concept with endogenous departure decisions and time-varying tolls.
Platform Competition in Two-Sided Markets
The foundational paper on two-sided market pricing—derives optimal price allocation explaining why platforms price asymmetrically across sides.
Competition in Two-Sided Markets
Introduces the competitive bottlenecks framework where one side multi-homes—explains monopoly power over access to single-homing customers.
Personalized Pricing
Customize prices based on customer characteristics
Personalized Pricing and Consumer Welfare
Analyzes welfare effects of machine learning-based personalized pricing.
Algorithmic Pricing and Competition
How algorithmic pricing affects competition and market outcomes.
Customer Poaching and Brand Switching
The seminal paper on behavior-based price discrimination—foundational duopoly model showing how firms use purchase history to discriminate. 2,000+ citations.
The Economics of Privacy
The definitive JEL survey on privacy and personal data economics—covers consumer tracking, welfare implications, and regulatory frameworks.
Approximating Purchase Propensities and Reservation Prices from Broad Consumer Tracking
Key paper demonstrating ML enables first-degree price discrimination—shows big data increases potential profits by 14.55% vs 0.14% from demographics alone.
Demand Estimation & Elasticity
Understand how price changes affect demand
Automobile Prices in Market Equilibrium (BLP)
The foundational random coefficients discrete choice model for demand estimation.
Empirical Models of Consumer Behavior
Practical guide to implementing BLP-style demand models with market-level data.
pyBLP: BLP Demand Estimation in Python
Modern implementation and extensions of BLP with diagnostics and best practices.
Estimating Discrete-Choice Models of Product Differentiation
The foundational paper introducing the critical inversion technique for demand estimation—enables estimation with IVs despite endogenous prices.
Differentiated Products Demand Systems from a Combination of Micro and Macro Data: The New Car Market
Pioneered combining micro-level consumer data with aggregate market shares—foundation for modern 'micro moments' approaches in pyBLP.
Dynamic Online Pricing with Incomplete Information Using Multi-Armed Bandit Experiments
The workhorse paper for online price experimentation—extends MAB algorithms to incorporate microeconomic choice theory. 43% profit improvements.
Price Experimentation
Learn optimal prices through controlled testing
Dynamic Pricing Without Knowing the Demand Function: Risk Bounds and Near-Optimal Algorithms
Field-defining paper establishing theoretical framework for dynamic pricing with demand learning. Pioneered regret-based analysis with √T regret bounds.
Simultaneously Learning and Optimizing Using Controlled Variance Pricing
Introduces elegant Controlled Variance Pricing (CVP) policy with 'taboo interval' for exploration. Achieves logarithmic regret while being highly implementable.
Online Network Revenue Management Using Thompson Sampling
Bridges bandit algorithms and practical pricing by applying Thompson sampling to network revenue management with inventory constraints. Validated at Rue La La.
Dynamic Pricing and Demand Learning with Limited Price Experimentation
Models settings where sellers can make at most m price changes. Characterizes optimal regret as O(log^m T). Includes real implementation at Groupon.
Feature-Based Dynamic Pricing
Pioneering work on contextual pricing where products have feature vectors. Uses ellipsoid method to achieve O(d² log d) regret. Winner of 2024 Revenue Management Prize.
Subscription & Nonlinear Pricing
Design pricing tiers and bundles that work
A Disneyland Dilemma: Two-Part Tariffs for a Mickey Mouse Monopoly
Foundational paper on two-part tariffs. Should Disneyland charge high admission with free rides, or free entry with high per-ride prices? 600+ citations.
Multiproduct Nonlinear Pricing
Extends nonlinear pricing theory to multidimensional screening with multiple products. Foundational for product line design.
Nonlinear Pricing with Random Participation
Landmark paper showing that sufficiently intense competition eliminates quality distortions, yielding efficient 'cost-plus-fee' pricing.
Selling to Overconfident Consumers
Field-defining paper on behavioral pricing and three-part tariffs. Shows consumer overconfidence explains cell phone plan structures. Uses real cellular billing data.
Freemium as Optimal Menu Pricing
Rigorous foundations for freemium models (Spotify, YouTube). Shows optimal menu consists of exactly two services—ad-supported free and ad-free premium.
Algorithmic Pricing
Automate pricing decisions with algorithms
Artificial Intelligence, Algorithmic Pricing, and Collusion
Field-defining paper showing Q-learning algorithms autonomously learn supracompetitive prices without communication, sustaining collusion through punishment strategies.
Autonomous Algorithmic Collusion: Q-learning Under Sequential Pricing
Extends Calvano et al. to sequential (Stackelberg) pricing environments, showing Q-learning converges to collusive equilibria even with turn-taking.
Competition in Pricing Algorithms
Shows pricing algorithms generate supracompetitive prices through competitive equilibrium—no collusion required. Uses high-frequency empirical data from online retailers.
The Economics of Privacy
Definitive JEL survey on privacy economics—essential for understanding personalized pricing and price discrimination enabled by algorithmic data collection.
Sustainable and Unchallenged Algorithmic Tacit Collusion
Leading competition law analysis explaining the legal gap: tacit collusion is harmful but lawful under current antitrust frameworks.
RL for Pricing
Use reinforcement learning for dynamic price optimization
A Tutorial on Thompson Sampling
Definitive reference on Thompson sampling covering Bernoulli bandits, product recommendation, assortment optimization, and RL in MDPs.
Thompson Sampling for Contextual Bandits with Linear Payoffs
First theoretical regret guarantees for contextual Thompson Sampling. Proves Õ(d√T) regret bounds. Novel martingale-based analysis became the template for subsequent work.
Dynamic Pricing Under a General Parametric Choice Model
Shows Θ(√T) regret for general parametric demand with MLE estimation. Important bridge between econometric demand estimation and online learning theory.
Reinforcement Learning Applied to Airline Revenue Management
Landmark industry application from Amadeus. Demonstrates deep RL for airline pricing that learns directly from customer interactions without demand forecasting.