Mathematics - Publications - Faculty & Research - Harvard Business School

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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

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

28 Mar 2018
News

Fueling the Future

of Boston, she had a half dozen jobs (lawn mowing, farm stand, newspaper delivery) by the time she was 15. “Once I learned I could make money and have freedom, I was all about capitalizing on opportunities,” she observes. She attended Princeton, studying View Details

Keywords: Jill Radsken

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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2012
Other Unpublished Work

The Efficacy of Shareholder Voting: Evidence from Equity Compensation Plans

By: Ian D. Gow, Christopher S. Armstrong and David F. Larcker

This study examines the effects of shareholder support for equity compensation plans on subsequent chief executive officer (CEO) compensation. Using cross-sectional regression, instrumental variable, and regression discontinuity research designs, we find little... View Details

Keywords: Voting; Equity; Executive Compensation; Rights; Performance Effectiveness; Business and Shareholder Relations; Mathematical Methods; Motivation and Incentives

September 2010
Article

Do Inventory and Gross Margin Data Improve Sales Forecasts for U.S. Public Retailers?

By: Saravanan Kesavan, Vishal Gaur and Ananth Raman

Firm-level sales forecasts for retailers can be improved if we incorporate cost of goods sold, inventory, and gross margin (defined here as the ratio of sales to cost of goods sold) as three endogenous variables. We construct a simultaneous equations model, estimated... View Details

Keywords: Sales; Forecasting and Prediction; Distribution; Goods and Commodities; Cost; Public Sector; Profit; Mathematical Methods; Analytics and Data Science; Retail Industry; United States

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November 2006
Background Note

Technical Game Theory Note #6: Multiple-Round Games and Reputations

By: Dennis A. Yao

Provides a game theory-based interpretation of reputations and reputation building. View Details

Keywords: Game Theory; Mathematical Methods; Games, Gaming, and Gambling; Reputation; Debates; Strategy; Performance Consistency; Performance Improvement; Strategic Planning; Education Industry

December 2005 (Revised March 2007)
Case

Innovation and Collaboration at Merrill Lynch

By: Boris Groysberg and Ingrid Vargas

In the spring of 2005, Candace Browning, head of Global Securities Research and Economics at Merrill Lynch, led about 500 Merrill Lynch analysts worldwide in a collaborative effort to produce innovative research, most of them accustomed to working independently in... View Details

Keywords: Leadership; Groups and Teams; Management Teams; Decision Making; Collaborative Innovation and Invention; Negotiation; Mathematical Methods; Strategy; Human Resources; Motivation and Incentives; Banking Industry; Financial Services Industry

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 2010 (Revised December 2011)
Background Note

Marketing Analysis Toolkit: Pricing and Profitability Analysis

By: Thomas J. Steenburgh and Jill Avery

Pricing is one of the most difficult decisions marketers make and the one with the most direct and immediate impact on the firm's financial position. This toolkit will introduce the fundamental terminology and calculations associated with pricing and profitability... View Details

Keywords: Forecasting and Prediction; Price; Profit; Management Analysis, Tools, and Techniques; Marketing Strategy; Demand and Consumers; Measurement and Metrics; Strategic Planning; Mathematical Methods; Retail Industry

January 2009
Journal Article

The Fiscal Impact of High-skilled Emigration: Flows of Indians to the U.S.

By: Mihir Desai, D. Kapur, J. McHale and K Rogers

Easing immigration restrictions for the highly skilled in developed countries portends a future of increased human capital outflows from developing countries. The myriad consequences of these developments for developing countries include the direct loss of the fiscal... View Details

Keywords: Talent and Talent Management; Diasporas; Developing Countries and Economies; Taxation; Compensation and Benefits; Human Capital; Mathematical Methods; India; United States

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2009
Other Unpublished Work

Choice-based Measures of Conflict in Preferences

By: Katherine Baldiga and Jerry R. Green

We propose a family of measures of difference between ordinal preference relations. The difference between two preferences is the probability that they would disagree about the optimal choice from a random available set. It is in this sense that these measures are... View Details

Keywords: Decision Choices and Conditions; Measurement and Metrics; Mathematical Methods; Conflict of Interests; Welfare

February 2004
Case

Bradman and Tendulkar, LLC

By: Ananth Raman and Vishal Gaur

An investment firm is trying to project inventory turns for Radio Shack, a chain of consumer electronics stores. The investment firm has access to public financial data but not to internal operational metrics. It needs to project inventory turns because inventory... View Details

Keywords: Forecasting and Prediction; Cash Flow; Demand and Consumers; Distribution Channels; Mathematical Methods; Valuation

September 2007
Article

(Noisy) Communication

By: Bharat Anand and Ron Shachar

Communication is central to many settings in marketing and economics. A focal attribute of communication is miscommunication. We model this key characteristic as a noise in the messages communicated, so that the sender of a message is uncertain about its perception by... View Details

Keywords: Communication Intention and Meaning; Interpersonal Communication; Cost vs Benefits; Marketing Communications; Performance Improvement; Mathematical Methods

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March 2005
Article

Sovereign Debt As a Contingent Claim: A Quantitative Approach

By: Laura Alfaro and Fabio Kanczuk

We construct a dynamic equilibrium model with contingent service and adverse selection to quantitatively study sovereign debt. In the model, benefits of defaulting are tempered by higher future interest rates. For a wide set of parameters, the only equilibrium is one... View Details

Keywords: Sovereign Finance; Borrowing and Debt; Interest Rates; Balance and Stability; Risk and Uncertainty; Risk Management; Mathematical Methods; Management Style; Segmentation; Debt Securities; Banking Industry

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09 Jul 2012
Research & Ideas

The Unconscious Executive

application of very strict, mathematical rules, we hypothesize that conscious thought is beneficial. But when it comes to integrating a large amount of information, we think unconscious thought, which gives rougher estimates, is more... View Details

Keywords: by Martha Lagace

December 2012
Case

Delwarca Software Remote Support Unit

By: Roy D. Shapiro and Paul E. Morrison

Delwarca Software provides business software to large corporate clients around the world. The firm serves customers who prefer to assemble corporate solutions using a combination of software programs from various suppliers rather than implementing a single enterprise... View Details

Keywords: Service Operations; Service Delivery; Mathematical Methods; Applications and Software; Problems and Challenges; Customer Satisfaction; Information Technology Industry

2012
Book

Enterprise Analytics: Optimize Performance, Process, and Decisions Through Big Data

By: Thomas H. Davenport

This book, an edited collection of research papers from the International Institute of Analytics, addresses a wide variety of key topics in managing business analytics and big data at the enterprise level. It includes key applications of analytics, human and... View Details

Keywords: Business Analytics; Big Data; Business or Company Management; Analytics and Data Science; Management Practices and Processes; Mathematical Methods; Information Management

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