Mathematical Methods - Publications - Faculty & Research - Harvard Business School

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Article

Loss Aversion, Diminishing Sensitivity, and the Role of Experience in Repeated Decisions

Three experiments are presented that explore the assertion that loss aversion and diminishing sensitivity drive the effect of experience on choice behavior. The experiments are focused on repeated choice tasks where decision makers choose repeatedly between... View Details

Keywords: Experience and Expertise; Decision Choices and Conditions; Mathematical Methods; Loss

February 2005 (Revised November 2016)
Background Note

Forecasting the Adoption of a New Product

Provides tools and methodologies that allow forecasting demand for innovative new products. Highlights the Bass model—the theory behind it and ways to determine its parameters. Provides a detailed example of how to use the Bass model to forecast demand for satellite... View Details

Keywords: Forecasting and Prediction; Innovation and Invention; Marketing; Demand and Consumers; Mathematical Methods; Competition

January 2003 (Revised January 2008)
Case

The British Motorcycle Industry at a Crossroads

By: Jan W. Rivkin

By 1975, the collapse of the British motorcycle industry is nearly complete. Only one British manufacturer, NVT, remains in operation. In this setting, the British government commissions the Boston Consulting Group to identify and evaluate strategic alternatives for... View Details

Keywords: Cost; Industry Structures; Business and Government Relations; Mathematical Methods; Competition; Consulting Industry; Manufacturing Industry; Motorcycle Industry; Great Britain

February 2010 (Revised March 2016)
Background Note

Marketing Analysis Toolkit: Break-even Analysis

By: Thomas J. Steenburgh and Jill Avery

Marketing managers are often called upon to make recommendations for or against programs that cost money to implement. Before expenditures are made, managers want to be sure that they will be getting a return on their investment. One way of assessing this is by... View Details

Keywords: Decision Making; Investment Return; Spending; Management Analysis, Tools, and Techniques; Marketing Strategy; Strategic Planning; Mathematical Methods

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

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

April 2011
Teaching Note

Porcini's Pronto: "Great Italian cuisine without the wait!" (Brief Case)

By: James L. Heskett and Richard Luecke

Teaching Note to 4277. View Details

Keywords: Franchising; Syndication; Quantitative Analysis; Performance Measurement; Human Resource Management; Incentives; Motivation; Management; Motivation and Incentives; Consumer Behavior; Mathematical Methods; Franchise Ownership; Human Resources; Performance Evaluation

January 2008
Teaching Note

Pilgrim Bank (A): Statistics Review with Data Desk

By: Frances X. Frei

Teaching Note for 602104. View Details

Keywords: Decision Making; Policy; Banks and Banking; Management Teams; Motivation and Incentives; Customers; Mathematical Methods; Service Operations; Banking Industry

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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April 2011
Teaching Note

Neck & Neck: Leveraging the Club Neck Information (TN)

Teaching Note for 111112. View Details

Keywords: Budgets and Budgeting; Knowledge Use and Leverage; Profit; Planning; Advertising Campaigns; Mathematical Methods; Apparel and Accessories Industry; Retail Industry

July 1996 (Revised June 2001)
Case

Atlantic Corporation-Abridged

By: Thomas R. Piper

A major paper company is considering acquiring the assets of a company that is threatened by a hostile takeover. The acquisition can be evaluated in terms of industry attractiveness, comparative advantage, and cash-flow analysis. View Details

Keywords: Projects; Cash Flow; Interest Rates; Valuation; Mathematical Methods; Horizontal Integration; Acquisition; Competitive Advantage; Aerospace Industry

November 1999 (Revised June 2001)
Case

Seitel, Inc.

By: David F. Hawkins

The company's accounting for its seismic data library is questioned. Teaching Purpose: Inventory accounting. View Details

Keywords: Stock Shares; Financial Statements; Business Earnings; Financial Reporting; Stock Options; Mathematical Methods; Accounting Industry

November 1992
Case

Process Control at Polaroid (B)

By: H. Kent Bowen and Steven C. Wheelwright

The plant manager of a film production operation wants to create and implement a new approach to quality within the next 12 months. Issues of personnel (and their roles), production processes (and their control), and quality standards must be addressed. View Details

Keywords: Employee Relationship Management; Job Design and Levels; Management Practices and Processes; Production; Quality; Mathematical Methods

2010
Working Paper

Trade Policy and Firm Boundaries

By: Laura Alfaro, Paola Conconi, Harald Fadinger and Andrew F. Newman

We study how trade policy affects firms' ownership structures. We embed an incomplete contracts model of vertical integration choices into a standard perfectly-competitive international trade framework. Integration decisions are driven by a trade-off between the... View Details

Keywords: Trade; Policy; Vertical Integration; Business and Government Relations; Boundaries; Ownership; Mathematical Methods

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