Mathematics - Publications - Faculty & Research - Harvard Business School

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2009
Working Paper

When Does Domestic Saving Matter for Economic Growth?

By: Philippe Aghion, Diego A. Comin, Peter Howitt and Isabel Tecu

Can a country grow faster by saving more? We address this question both theoretically and empirically. In our theoretical model, growth results from innovations that allow local sectors to catch up with frontier technology. In poor countries, catching up requires the... View Details

Keywords: Developing Countries and Economies; Economic Growth; Entrepreneurship; Foreign Direct Investment; Saving; Technological Innovation; Mathematical Methods

December 2008
Article

Behavioral Frontiers in Choice Modeling

We review the discussion at a workshop whose goal was to achieve a better integration among behavioral, economic, and statistical approaches to choice modeling. The workshop explored how current approaches to the specification, estimation, and application of choice... View Details

Keywords: Mathematical Methods; Integration; Goals and Objectives; Decision Choices and Conditions; Problems and Challenges; Business Processes; Customers; Behavior; Economics

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2011
Working Paper

The Impact of Horizontal Mergers and Acquisitions in Price Competition Models

The question of what impact mergers and acquisitions have on key equilibrium performance measures is fundamental to our understanding of competitive dynamics in an oligopolistic industry. We address these questions in the context of price competition models with... View Details

Keywords: Mergers and Acquisitions; Cost; Price; Profit; Duopoly and Oligopoly; Performance Efficiency; Mathematical Methods; Competition

September 2011 (Revised July 2012)
Case

Building Watson: Not So Elementary, My Dear!

This case is set inside IBM Research's efforts to build a computer that can successfully take on human challengers playing the game show Jeopardy! It opens with the machine named Watson offering the incorrect answer "Toronto" to a seemingly simple question during the... View Details

Keywords: Technological Innovation; Standards; Product Development; Organizational Change and Adaptation; Mathematical Methods; Research and Development; Information Technology

30 Jun 2008
Research & Ideas

Rethinking Retirement Planning

place an undue burden on workers who don't have the interest, time, or expertise to manage their finances. A pioneer in translating finance and mathematics into practical, Wall Street-ready models, Merton was awarded the 1997 Nobel... View Details

Keywords: by Julia Hanna; Banking; Financial Services

01 Oct 2000
News

Faculty Retirements

HBS professor emeritus Robert H. Hayes. Wheelwright, who received a BS in mathematics from the University of Utah (1966), has served on the faculty of INSEAD (The European Institute of Business Administration) in Fontainebleau, France,... View Details

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

September 1996 (Revised March 2002)
Case

Bishay Industries

By: David F. Hawkins and Norman Bartczak

A bankrupt company has a turnaround plan. Students are asked to predict whether it will be successful. View Details

Keywords: Insolvency and Bankruptcy; Business Plan; Goals and Objectives; Strategic Planning; Business Strategy; Cash Flow; Mathematical Methods; Financial Services Industry

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February 2010
Supplement

Marketing Analysis Toolkit: Market Size and Market Share Analysis (CW)

By: Thomas J. Steenburgh and Jill Avery

This Excel worksheet contains sample problems, prebuilt Excel models to run market sizing and market share analyses, and charts and graphs which help visualize the results. It is designed to accompany Marketing Analysis Tookit: Market Size and Market Share Analysis.... View Details

Keywords: Mathematical Methods; Marketing Strategy; Decisions; Strategic Planning; Market Participation; Sales; Forecasting and Prediction; Management Analysis, Tools, and Techniques

2009
Article

Social Structure Shapes Cultural Stereotypes and Emotions: A Causal Test of the Stereotype Content Model

By: P. Caprariello, A.J.C. Cuddy and S.T. Fiske

The stereotype content model (SCM) posits that social structure predicts specific cultural stereotypes and associated emotional prejudices (Fiske et al., 2002). No prior evidence at a societal level has manipulated both structural predictors and measured both... View Details

Keywords: Competency and Skills; Mathematical Methods; Emotions; Personal Characteristics; Prejudice and Bias; Status and Position; Culture; Competition

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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

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

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

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

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

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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

2001
Working Paper

When Does the Market Matter? Stock Prices and the Investment of Equity Dependent Firms

By: Malcolm Baker, Jeremy Stein and Jeffrey Wurgler

We use a simple model of corporate investment to determine when investment will be sensitive to non-fundamental movements in stock prices. The key cross-sectional prediction of the model is that stock prices will have a stronger impact on the investment of firms that... View Details

Keywords: Investment; Equity; Stocks; Price; Mathematical Methods; Forecasting and Prediction

March 2011 (Revised November 2011)
Case

Harmonic Hearing Co.

By: Howard H. Stevenson and Craig H. Stephenson

Harmonic is a small, privately held manufacturer of hearing aids. Harriet Burns and Marc Davis, two employees at Harmonic, have an opportunity to purchase the company from the founder. As well-informed insiders who understand the industry, Burns and Davis believe the... View Details

Keywords: Debts; Quantitative Analysis; Financing; Entrepreneurial Finance; Development Stage Enterprises; Small ＆ Medium-sized Enterprises; Small Business; Business Growth and Maturation; Cash Flow; Mathematical Methods; Entrepreneurship; Financing and Loans; Borrowing and Debt; Equity; Manufacturing Industry

December 2009
Article

Strategy-proofness versus Efficiency in Matching with Indifferences: Redesigning the NYC High School Match

By: Atila Abdulkadiroglu, Parag A. Pathak and Alvin E. Roth

The design of the New York City (NYC) High School match involved tradeoffs among efficiency, stability, and strategy-proofness that raise new theoretical questions. We analyze a model with indifferences—ties—in school preferences. Simulations with field data and the... View Details

Keywords: Decision Choices and Conditions; Secondary Education; Marketplace Matching; Performance Efficiency; Mathematical Methods; Motivation and Incentives; Strategy; Balance and Stability

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16 Aug 2010
Lessons from the Classroom

HBS Introduces Marketing Analysis Tools for Managers

The marketing analysis toolkits are a suite of analytical tools that managers can use to inform decision-making in marketing. Each toolkit includes a technical note that outlines the analysis technique, provides examples of how it is used in marketing, and shows View Details

Keywords: by Sarah Jane Gilbert

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