Publications

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

Keywords: Financial Accounting; Quantitative Analysis; Securities; Debt Securities; Cash Flow; Mathematical Methods; Accounting

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

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

Working Paper

Group Fairness in Dynamic Refugee Assignment

By: Daniel Freund, Thodoris Lykouris, Elisabeth Paulson, Bradley Sturt and Wentao Weng

Ensuring that refugees and asylum seekers thrive (e.g., find employment) in their host countries is a profound humanitarian goal, and a primary driver of employment is the geographic location within a host country to which the refugee or asylum seeker is... View Details

Keywords: Refugees; Geographic Location; Mathematical Methods; Employment; Fairness

August 2003 (Revised May 2009)
Background Note

Basic Venture Capital Formula, The

By: William A. Sahlman and Matthew Willis

Briefly summarizes the process that venture capitalists use to analyze high-risk, long-term investments. Contains information on methods that can be used to calculate valuation, share price, percent ownership, implied valuation, dilution, and option pools. View Details

Keywords: Venture Capital; Risk Management; Mathematical Methods; Valuation

Educators

August 1983
Background Note

Balance of Payments: Accounting and Presentation

By: David B. Yoffie

Provides an overview of balance of payments accounting and analytical presentation of balance of payments data. Includes sample transactions to illustrate the application of the basic accounting principles and definitions of the standard balances. View Details

Keywords: Accounting; Analytics and Data Science; Management; Standards; Mathematical Methods

Educators

April 12, 2022
Article

Evaluation of Individual and Ensemble Probabilistic Forecasts of COVID-19 Mortality in the United States

By: Estee Y. Cramer, Evan L. Ray, Velma K. Lopez, Johannes Bracher, Andrea Brennen, Alvaro J. Castro Rivadeneira, Michael Lingzhi Li and et al.

Short-term probabilistic forecasts of the trajectory of the COVID-19 pandemic in the United States have served as a visible and important communication channel between the scientific modeling community and both the general public and decision-makers. Forecasting models... View Details

Keywords: COVID-19; Forecasting and Prediction; Health Pandemics; Mathematical Methods; Partners and Partnerships

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2019
Working Paper

Intelligent Artificiality: Algorithmic Microfoundations for Strategic Problem Solving

By: Mihnea Moldoveanu

This paper introduces algorithmic micro-foundations for formulating and solving strategic problems. It shows how the languages and disciplines of theoretical computer science, “artificial intelligence,” and computational complexity theory can be used to devise a set of... View Details

Keywords: Problems and Challenges; Analysis; Strategy; Framework; Management Analysis, Tools, and Techniques; Mathematical Methods

October 2005 (Revised February 2010)
Background Note

Calculating Free Cash Flows

By: Robin Greenwood and David S. Scharfstein

Outlines the mechanics of calculating free cash flows from historical and proforma financial statements. Focuses on the mechanical process of transforming numbers from financial forecasts into cash flows. View Details

Keywords: Financial Statements; Forecasting and Prediction; Cash Flow; Mathematical Methods

Educators

2023
Working Paper

How People Use Statistics

By: Pedro Bordalo, John J. Conlon, Nicola Gennaioli, Spencer Yongwook Kwon and Andrei Shleifer

We document two new facts about the distributions of answers in famous statistical problems: they are i) multi-modal and ii) unstable with respect to irrelevant changes in the problem. We offer a model in which, when solving a problem, people represent each hypothesis... View Details

Keywords: Decision Choices and Conditions; Microeconomics; Mathematical Methods; Behavioral Finance

May 2020
Article

Identifying Sources of Inefficiency in Health Care

By: Amitabh Chandra and Douglas O. Staiger

In medicine, the reasons for variation in treatment rates across hospitals serving similar patients are not well understood. Some interpret this variation as unwarranted and push standardization of care as a way of reducing allocative inefficiency. However, an... View Details

Keywords: Health Care and Treatment; Performance Efficiency; Performance Productivity; Mathematical Methods

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2019
Article

Ridesharing with Driver Location Preferences

By: Duncan Rheingans-Yoo, Scott Duke Kominers, Hongyao Ma and David C. Parkes

We study revenue-optimal pricing and driver compensation in ridesharing platforms when drivers have heterogeneous preferences over locations. If a platform ignores drivers' location preferences, it may make inefficient trip dispatches; moreover, drivers may strategize... View Details

Keywords: Ridesharing; Pricing; Compensation and Benefits; Geographic Location; Market Design; Mathematical Methods

01 Dec 2008
News

A U.S. Turnaround?

sad story of our slippage in mathematics and science. In fourth grade, American children are ahead of almost everyone in the world. By the eighth grade they are even, and by twelfth grade they are seriously behind. If you walk through the... View Details

Keywords: Byron Wien; Performing Arts, Spectator Sports, and Related Industries; Arts, Entertainment; Computer and Electronic Product Manufacturing; Manufacturing; Transportation Equipment Manufacturing; Manufacturing; Electric Power Generation, Transmission, Distribution; Utilities

01 Feb 1997
News

Merton Discusses Risk Management at Dean's Seminar

Merton noted that "risk management will become an essential internal process for the lending institution if it expects to remain viable and competitive." By demonstrating mathematically how to determine and hedge risk exposure for any new... View Details

Keywords: Elizabeth McNair

01 Jan 2008
News

Jeffrey R. Immelt, MBA 1982

Chairman & CEO, GE Return to Alumni Achievement Awards main page EARLIER EUDUCATION Dartmouth College, 1978 B.A., Applied Mathematics LESSONS FROM HBS “Understanding the difference between knowledge and intelligence.” ADVICE TO STUDENTS... View Details

01 Mar 2016
News

Faculty Q&A: Price Check

How did you come to focus on algorithmic pricing? In my doctoral work at MIT, I was studying optimization, probability, and machine learning, which are essentially mathematical tools that enable us to use data to make better decisions.... View Details

Keywords: Julia Hanna; Nonstore Retailers; Retail Trade

13 Mar 2017
Research & Ideas

Hiding Products From Customers May Ultimately Boost Sales

sushi restaurant where customers order from a fixed menu.” Next steps The mathematical model in the paper assumes a situation in which a retailer would sell all styles of a product at the same price (e.g., all fall sandals would be priced... View Details

Keywords: by Carmen Nobel; Retail; Fashion

November 1990
Case

Chemplan Corp.: Paint-Rite Division

By: Paul A. Vatter

An exercise with data that allows a discussion of regression analysis as a tool for forecasting and understanding structure. View Details

Keywords: Forecasting and Prediction; Framework; Analytics and Data Science; Mathematical Methods