Publications

July 2002
Article

The Economist As Engineer: Game Theory, Experimental Economics and Computation As Tools of Design Economics

By: Alvin E Roth

Keywords: Game Theory; Economics; Mathematical Methods; Design

22 Sep 2015
News

Turning Troubled Schools into High-Achievers

of stories of success. If I think about one of our turnaround schools, before we intervened at that school, only about 12 or 13 percent of students were demonstrating grade-level proficiency in mathematics and in reading. We were asked to... View Details

1985
Chapter

The Role of Contingent Claims Analysis in Corporate Finance

By: Scott P. Mason and Robert C. Merton

Keywords: Mathematical Methods; Corporate Finance

1999
Chapter

Interest Rate Rules in an Estimated Sticky Price Model

By: Julio J. Rotemberg and Michael Woodford

Keywords: Interest Rates; Mathematical Methods

August 2018
Article

Extrapolation and Bubbles

By: Nicholas Barberis, Robin Greenwood, Lawrence Jin and Andrei Shleifer

We present an extrapolative model of bubbles. In the model, many investors form their demand for a risky asset by weighing two signals: an average of the asset’s past price changes and the asset’s degree of overvaluation. The two signals are in conflict, and investors... View Details

Keywords: Bubble; Extrapolation; Volume; Price Bubble; Mathematical Methods

2016
Working Paper

Algorithmic Foundations for Business Strategy

By: Mihnea Moldoveanu

I introduce algorithmic and meta-algorithmic models for the study of strategic problem solving, aimed at illuminating the processes and procedures by which strategic managers and firms deal with complex problems. These models allow us to explore the relationship... View Details

Keywords: Mathematical Methods; Business Strategy

1995
Book

Introduction to Statistical Decision Theory

By: John W. Pratt, Howard Raiffa and Robert Schlaifer

Keywords: Mathematical Methods; Decision Making; Theory

January 1990 (Revised February 1990)
Case

MSA: The Software Company--Planning the AMAPs Product Line

By: Robert J. Dolan

MSA has commissioned a major market research study to assess demand potential for a computer software system designed for aerospace and defense contractors. Students must evaluate the results of the study (including a conjoint analysis) to assess whether MSA should... View Details

Keywords: Product; Marketing; Mathematical Methods; Software

May 1984 (Revised September 1986)
Background Note

Basic Quantitative Analysis for Marketing

By: Robert J. Dolan

Shows how to calculate and use the break-even volume in marketing decision making. View Details

Keywords: Marketing Strategy; Mathematical Methods

01 Oct 1999
News

Eight Among Many: Nancy J. Karch

Nancy Karch admits that when she arrived at Soldiers Field she had "almost no understanding of business." While pursuing a doctorate in mathematics at Northeastern University, she "stumbled upon the idea of business school" when she... View Details

Keywords: Susan Young

2023
Working Paper

PRIMO: Private Regression in Multiple Outcomes

By: Seth Neel

We introduce a new differentially private regression setting we call Private Regression in Multiple Outcomes (PRIMO), inspired the common situation where a data analyst wants to perform a set of l regressions while preserving privacy, where the covariates... View Details

Keywords: Analytics and Data Science; Mathematical Methods

2023
Article

Which Models Have Perceptually-Aligned Gradients? An Explanation via Off-Manifold Robustness

By: Suraj Srinivas, Sebastian Bordt and Himabindu Lakkaraju

One of the remarkable properties of robust computer vision models is that their input-gradients are often aligned with human perception, referred to in the literature as perceptually-aligned gradients (PAGs). Despite only being trained for classification, PAGs cause... View Details

Keywords: AI and Machine Learning; Mathematical Methods

March 2020
Article

Diagnosing Missing Always at Random in Multivariate Data

By: Iavor I. Bojinov, Natesh S. Pillai and Donald B. Rubin

Models for analyzing multivariate data sets with missing values require strong, often assessable, assumptions. The most common of these is that the mechanism that created the missing data is ignorable—a twofold assumption dependent on the mode of inference. The first... View Details

Keywords: Missing Data; Diagnostic Tools; Sensitivity Analysis; Hypothesis Testing; Missing At Random; Row Exchangeability; Analytics and Data Science; Mathematical Methods

June 2000
Article

On the Regulatory Application of Efficiency Measures

The last decade has witnessed a change to more powerful incentive schemes and the adoption by a large number of regulators of some form of price cap regimes. The efficiency frontiers literature tackles the problem of measuring the X factor in a price cap regime... View Details

Keywords: Performance Productivity; Mathematical Methods; Performance Efficiency

August 2001 (Revised July 2008)
Technical Note

A Technical Note and Discussion on Real Estate Valuation (IBET): Back of the Envelope (BOE) on Bonhomme Place: A Case within a Case

By: Arthur I Segel

Discusses real estate valuation. Reviews "back of the envelope" valuation; real estate appraisal methods, including the income method; market comparables and replacement costs; and more complex computer modeling. Also discusses other variables that could influence... View Details

Keywords: Investment Funds; Mathematical Methods; Valuation; Real Estate Industry

01 Dec 2007
News

From A to Z

French Last Job: Business Analyst, McKinsey & Company, Moscow Age: 26 Why HBS? “My degree is in economics, which was exciting but strictly mathematical and theoretical. I wanted to become a more well-rounded individual and gain a wider... View Details

Keywords: Business Schools & Computer & Management Training; Educational Services

November 1974 (Revised November 1977)
Background Note

Developing Forecasts with the Aid of Regression Analysis

By: Paul A. Vatter

Keywords: Forecasting and Prediction; Mathematical Methods

2016
Working Paper

Refugee Resettlement

By: David Delacretaz, Scott Duke Kominers and Alexander Teytelboym

Over 100,000 refugees are permanently resettled from refugee camps to hosting countries every year. Nevertheless, refugee resettlement processes in most countries are ad hoc, accounting for neither the priorities of hosting communities nor the preferences of refugees... View Details

Keywords: Refugees; Marketplace Matching; Mathematical Methods

October 2012 (Revised October 2016)
Case

Predilytics

By: Robert F. Higgins and Annelena Lobb

The management team at Predilytics, a healthcare analytics firm, must decide whether to accept a Series A venture capital financing deal. The company provided analytic services to healthcare plans, typically Medicare Advantage plans, in efforts to draw conclusions from... View Details

Keywords: Analytics; Healthcare; Medicare; Health Care and Treatment; Mathematical Methods; Health Industry; New England; United States