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Show Results For
- All HBS Web
(838)
- News (79)
- Research (640)
- Events (14)
- Multimedia (4)
- Faculty Publications (632)
- 2010
- Chapter
Deferred Acceptance Algorithms: History, Theory, Practice
By: Alvin E. Roth
The deferred acceptance algorithm proposed by Gale and Shapley (1962) has had a profound influence on market design, both directly, by being adapted into practical matching mechanisms, and indirectly, by raising new theoretical questions. Deferred acceptance algorithms... View Details
- 14 Jun 2017
- Working Paper Summaries
Minimizing Justified Envy in School Choice: The Design of New Orleans' OneApp
- 1995
- Chapter
Regression to the Mean, Expectation Inflation, and the Winner's Curse in Organizational Contexts
By: J. R. Harrison and M. H. Bazerman
- 2014
- Working Paper
Non-Adherence in Health Care: A Positive and Normative Analysis
By: Mark Egan and Tomas J. Philipson
Non-adherence in health care results when a patient does not initiate or continue care that a provider has recommended. Previous research identifies non-adherence as a major source of waste in US health care, totaling approximately 2.3% of GDP, and have proposed a... View Details
Egan, Mark, and Tomas J. Philipson. "Non-Adherence in Health Care: A Positive and Normative Analysis." NBER Working Paper Series, No. 20330, July 2014. (Previously titled, "Health Care Adherence and Personalized Medicine.")
- January 2009 (Revised June 2010)
- Teaching Note
Lyons Document Storage Corporation: Bond Math (Brief Case)
By: William J. Bruns Jr.
Teaching Note to 3215 View Details
- Article
How Much Is a Reduction of Your Customers' Wait Worth? An Empirical Study of the Fast-Food Drive-Thru Industry Based on Structural Estimation Methods
In many service industries, companies compete with each other on the basis of the waiting time their customers experience, along with other strategic instruments such as the price they charge for their service. The objective of this paper is to conduct an empirical... View Details
Keywords: Customer Satisfaction; Price; Service Delivery; Mathematical Methods; Competition; Food and Beverage Industry; Service Industry
Allon, Gad, Awi Federgruen, and Margaret P. Pierson. "How Much Is a Reduction of Your Customers' Wait Worth? An Empirical Study of the Fast-Food Drive-Thru Industry Based on Structural Estimation Methods ." Manufacturing & Service Operations Management 13, no. 4 (Fall 2011).
- 2008
- Working Paper
CPC/CPA Hybrid Bidding in a Second Price Auction
By: Benjamin Edelman and Hoan Lee
We develop a model of online advertising in which each advertiser chooses from multiple advertising measurement metrics—paying either for each click on its ads (CPC), or for each purchase that follows an ad-click (CPA). Our analysis extends classic auction results by... View Details
Keywords: Online Advertising; Auctions; Bids and Bidding; Measurement and Metrics; Quality; Mathematical Methods; Web Sites
Edelman, Benjamin, and Hoan Lee. "CPC/CPA Hybrid Bidding in a Second Price Auction." Harvard Business School Working Paper, No. 09-074, December 2008.
- 2025
- Article
Statistical Inference for Heterogeneous Treatment Effects Discovered by Generic Machine Learning in Randomized Experiments
By: Kosuke Imai and Michael Lingzhi Li
Researchers are increasingly turning to machine learning (ML) algorithms to investigate causal heterogeneity in randomized experiments. Despite their promise, ML algorithms may fail to accurately ascertain heterogeneous treatment effects under practical settings with... View Details
Imai, Kosuke, and Michael Lingzhi Li. "Statistical Inference for Heterogeneous Treatment Effects Discovered by Generic Machine Learning in Randomized Experiments." Journal of Business & Economic Statistics 43, no. 1 (2025): 256–268.
- January 2021
- Article
Using Models to Persuade
By: Joshua Schwartzstein and Adi Sunderam
We present a framework where "model persuaders" influence receivers’ beliefs by proposing models that organize past data to make predictions. Receivers are assumed to find models more compelling when they better explain the data, fixing receivers’ prior beliefs. Model... View Details
Keywords: Model Persuasion; Analytics and Data Science; Forecasting and Prediction; Mathematical Methods; Framework
Schwartzstein, Joshua, and Adi Sunderam. "Using Models to Persuade." American Economic Review 111, no. 1 (January 2021): 276–323.
- August 2020 (Revised September 2020)
- Technical Note
Assessing Prediction Accuracy of Machine Learning Models
The note introduces a variety of methods to assess the accuracy of machine learning prediction models. The note begins by briefly introducing machine learning, overfitting, training versus test datasets, and cross validation. The following accuracy metrics and tools... View Details
Keywords: Machine Learning; Statistics; Econometric Analyses; Experimental Methods; Data Analysis; Data Analytics; Forecasting and Prediction; Analytics and Data Science; Analysis; Mathematical Methods
Toffel, Michael W., Natalie Epstein, Kris Ferreira, and Yael Grushka-Cockayne. "Assessing Prediction Accuracy of Machine Learning Models." Harvard Business School Technical Note 621-045, August 2020. (Revised September 2020.)
- May 2011
- Teaching Note
The Morrison Company (Brief Case)
By: Steven C. Wheelwright and Paul Meyers
Teaching Note for 4564. View Details
- October 2011
- Article
The Surprising Power of Age-Dependent Taxes
This article provides a new, empirically driven application of the dynamic Mirrleesian framework by studying a feasible and potentially powerful tax reform: age-dependent labor income taxation. I show analytically how age dependence improves policy on both the... View Details
Weinzierl, Matthew C. "The Surprising Power of Age-Dependent Taxes." Review of Economic Studies 78, no. 4 (October 2011): 1490–1518. (Also Harvard Business School Working Paper, No. 11-114, May 2011.)
- 2011
- Working Paper
Better-reply Dynamics in Deferred Acceptance Games
In this paper we address the question of learning in a two-sided matching mechanism that utilizes the deferred acceptance algorithm. We consider a repeated matching game where at each period agents observe their match and have the opportunity to revise their strategy... View Details
Keywords: Learning; Marketplace Matching; Outcome or Result; Game Theory; Mathematical Methods; Strategy
Haeringer, Guillaume, and Hanna Halaburda. "Better-reply Dynamics in Deferred Acceptance Games." Harvard Business School Working Paper, No. 11-126, June 2011.
- 2011
- Working Paper
Free to Punish? The American Dream and the Harsh Treatment of Criminals
By: Rafael Di Tella and Juan Dubra
We describe the evolution of selective aspects of punishment in the U.S. over the period 1980-2004. We note that imprisonment increased around 1980, a period that coincides with the "Reagan revolution" in economic matters. We build an economic model where beliefs about... View Details
Keywords: Crime and Corruption; Economy; Moral Sensibility; Mathematical Methods; Opportunities; Behavior; United States
Di Tella, Rafael, and Juan Dubra. "Free to Punish? The American Dream and the Harsh Treatment of Criminals." NBER Working Paper Series, No. 17309, August 2011.
- January 2008
- Background Note
Valuing Risky Debt
By: Joshua Coval and Erik Stafford
This lesson develops the classical structural approach to pricing and hedging credit risk: Merton's (1974) contingent claims model of debt and equity claims. This model is used to make investment and risk management decisions in an over-the-counter (OTC) market for... View Details
Keywords: Borrowing and Debt; Credit; Investment; Price; Risk Management; Mathematical Methods; Valuation
Coval, Joshua, and Erik Stafford. "Valuing Risky Debt." Harvard Business School Background Note 208-111, January 2008.
- December 2001 (Revised May 2003)
- Background Note
Queueing Theory
By: V.G. Narayanan and George Batta
Explains the assumptions behind and the insights from a simple queueing model. View Details
Keywords: Mathematical Methods; Theory; Management Analysis, Tools, and Techniques; Motivation and Incentives; Service Delivery
Narayanan, V.G., and George Batta. "Queueing Theory." Harvard Business School Background Note 102-023, December 2001. (Revised May 2003.)
- March 2001 (Revised April 2002)
- Case
Rent-Way, Inc. (A)
By: David F. Hawkins
The company uses the units of activity method to account for its rental inventory. A prominent hedge fund advisor recommends the company's stock be sold short. View Details
Keywords: Mathematical Methods; Stock Shares; Fair Value Accounting; Quality; Investment Funds; Service Industry
Hawkins, David F. "Rent-Way, Inc. (A)." Harvard Business School Case 101-089, March 2001. (Revised April 2002.)
- October 2007
- Article
The Effectiveness of Pre-Release Advertising for Motion Pictures: An Empirical Investigation Using a Simulated Market
By: Anita Elberse and Bharat N. Anand
One of the most visible and publicized trends in the movie industry is the escalation in movie advertising expenditures over time. Yet, the returns to movie advertising are poorly understood. The main reason is that disentangling the causal effect of advertising on... View Details
Keywords: Advertising; Stocks; Investment Return; Price; Revenue; Quality; Mathematical Methods; Motion Pictures and Video Industry
Elberse, Anita, and Bharat N. Anand. "The Effectiveness of Pre-Release Advertising for Motion Pictures: An Empirical Investigation Using a Simulated Market." Information Economics and Policy 19, nos. 3-4 (October 2007): 319–343. (Special Issue on Economics of the Media.)
- September 1974 (Revised April 1975)
- Case
Ocean Spray Cranberries, Inc. (B)
A consumer attitude survey involving more than 1,000 cranberry users has been conducted. Multivariate statistical procedures including factor analysis, cluster analysis and multiple discriminant analysis have been employed to suggest four attitude segments in the... View Details
Keywords: Surveys; Product Positioning; Mathematical Methods; Consumer Behavior; Agriculture and Agribusiness Industry; Food and Beverage Industry
DeBruicker, F., and Jan-Erik Modig. "Ocean Spray Cranberries, Inc. (B)." Harvard Business School Case 575-040, September 1974. (Revised April 1975.)