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October 2005 (Revised January 2009)
Background Note

Corporate Valuation and Market Multiples

By: Timothy A. Luehrman

Provides a basic introduction to the use of market multiples for business valuation. Explains the method's reliance on the Law of One Price, sets forth the basic steps for using the method, and reviews some practical issues arising in its application. View Details

Keywords: Business Ventures; Price; Market Transactions; Mathematical Methods; Valuation

September 1974 (Revised April 1975)
Case

Ocean Spray Cranberries, Inc. (A)

At the conclusion of a small-scale pilot survey, management must decide whether to invest in a larger survey or terminate the project. The objective of the study is to use psychographic measurement techniques to study the alternative positions of cranberry sauce.... View Details

Keywords: Surveys; Product Positioning; Mathematical Methods; Agriculture and Agribusiness Industry; Food and Beverage Industry

September 1989
Background Note

Introduction to Decision Making

By: Francis Aguilar

Describes the process of decision making (establish objectives, generate alternatives, and so on) emphasizing the human side of it (using rules of thumb, favoring one's own pet projects) yet demonstrating the role an analytic/quantitative contribution has to make. View Details

Keywords: Decision Making; Goals and Objectives; Mathematical Methods; Perspective

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

2009
Working Paper

Technology Innovation and Diffusion as Sources of Output and Asset Price Fluctuations

By: Diego A. Comin, Mark Gertler and Ana Maria Santacreu

We develop a model in which innovations in an economy's growth potential are an important driving force of the business cycle. The framework shares the emphasis of the recent "new shock" literature on revisions of beliefs about the future as a source of fluctuations,... View Details

Keywords: Business Cycles; Economic Growth; Asset Pricing; Technological Innovation; Mathematical Methods; System Shocks; Technology Adoption

2021
Working Paper

An Empirical Study of Time Allotment and Delays in E-commerce Delivery

By: M. Balakrishnan, MoonSoo Choi and Natalie Epstein

Problem definition: We study how having more time allotted to deliver an order affects the speed of the delivery process. Furthermore, we seek to predict orders that are likely to be delayed early in the delivery process so that actions can be taken to avoid delays.... View Details

Keywords: Logistics; E-commerce; Mathematical Methods; AI and Machine Learning; Performance Productivity

February 1991 (Revised November 2010)
Case

Tennessee Controls: The Strategic Ranking Problem

By: Robert L. Simons and Dale Geiger

Tennessee Controls has instituted a new formal asset acquisition process to rank competing proposals. Judy Starnes, the new division manager, is asked to rank three proposals by using techniques to quantify economic returns, risk, as well as the credibility of the... View Details

Keywords: Capital Budgeting; Governance Controls; Management Systems; Strategic Planning; Mathematical Methods; Electronics Industry

2009
Working Paper

Altruistic Dynamic Pricing with Customer Regret

By: Julio J. Rotemberg

A model is considered where firms internalize the regret costs that consumers experience when they see an unexpected price change. Regret costs are assumed to be increasing in the size of price changes and this can explain why the size of price increases is less... View Details

Keywords: Inflation and Deflation; Price; Marketing; Consumer Behavior; Mathematical Methods

Article

Gross National Happiness As an Answer to the Easterlin Paradox?

By: Rafael Di Tella and Robert MacCulloch

The Easterlin Paradox refers to the fact that happiness data are typically stationary in spite of considerable increases in income. This amounts to a rejection of the hypothesis that current income is the only argument in the utility function. We find that the... View Details

Keywords: Wealth and Poverty; Happiness; Employment; Income; Mathematical Methods; Welfare

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2008
Working Paper

On Best-Response Bidding in GSP Auctions

By: Matthew Cary, Aparna Das, Benjamin Edelman, Ioannis Giotis, Kurtis Heimerl, Anna R. Karlin, Claire Mathieu and Michael Schwarz

How should players bid in keyword auctions such as those used by Google, Yahoo! and MSN? We model ad auctions as a dynamic game of incomplete information, so we can study the convergence and robustness properties of various strategies. In particular, we consider... View Details

Keywords: Online Advertising; Auctions; Bids and Bidding; Game Theory; Mathematical Methods; Competitive Strategy

September 1972 (Revised February 1984)
Case

Blanchard Importing and Distribution Co., Inc.

By: Paul W. Marshall

Illustration of the two main types of errors resulting from use of the economic order quantity (EOQ) as a tool in production scheduling. Designed to permit class discussion to begin with a consideration of one common type of mistake, errors in calculation of the EOQ... View Details

Keywords: Mathematical Methods; Production; Debates; Management Analysis, Tools, and Techniques

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

Blog

When Generations Learn Together

continues to give me new insights just from the way he views a case here at HBS and when we discuss deals and operating improvement opportunities in my business. It's also a huge benefit to learn from the application of analytical tools that he has developed through... View Details

25 Aug 2022
News

Labs Enable Large-scale Research

Professor of Computer Science and Applied Mathematics at the Harvard John A. Paulson School of Engineering & Applied Sciences REINVENTING THE FUTURE OF BUSINESS Harnessing the Tools of the Digital Age Understanding the Digital, Data, and... View Details

01 Dec 2017
News

Ink: Alumni Book Recommendations

understanding of human psychology, without the acceptance that we are all crazy, irrational, impulsive, emotionally driven animals, all the raw intelligence and mathematical logic in the world is little help in the fraught, shifting... View Details

09 Mar 2020
Working Paper Summaries

Impact Investing: A Theory of Financing Social Entrepreneurship

Keywords: by Benjamin N. Roth; Financial Services

August 2012
Article

Organ Allocation Policy and the Decision to Donate

By: Judd B. Kessler and Alvin E. Roth

Organ donations from deceased donors (cadavers) provide the majority of transplanted organs in the United States, and one deceased donor can save numerous lives by providing multiple organs. Nevertheless, most Americans are not registered organ donors despite the... View Details

Keywords: Organ Donation; Health; Philanthropy and Charitable Giving; Decision Making; Resource Allocation; Mathematical Methods; United States

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2006
Working Paper

On the Origin of Shared Beliefs (and Corporate Culture)

By: Eric J. Van den Steen

This paper shows why members of an organization often share similar beliefs. I argue that there are two mechanisms. First, when performance depends on making correct decisions, people prefer to work with others who share their beliefs and assumptions, since such... View Details

Keywords: Organizational Culture; Employees; Values and Beliefs; Mathematical Methods

December 1998
Case

Origins of National Income Accounting

By: David A. Moss and Joseph P Gownder

Set in the Great Depression, this case explores the origins of national income accounting in the United States. Highlights Senator La Follette's 1932 proposal for the federal government to begin collecting national income statistics. View Details

Keywords: Accounting; Financial Crisis; Analytics and Data Science; Mathematical Methods; United States

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