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

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2009
Working Paper

Input Constraints and the Efficiency of Entry: Lessons from Cardiac Surgery

By: David M. Cutler, Robert S. Huckman and Jonathan T. Kolstad

Prior studies suggest that, with elastically supplied inputs, free entry may lead to an inefficiently high number of firms in equilibrium. Under input scarcity, however, the welfare loss from free entry is reduced. Further, free entry may increase use of high-quality... View Details

Keywords: Health Care and Treatment; Market Entry and Exit; Duopoly and Oligopoly; Government Legislation; Mathematical Methods; Health Industry; Pennsylvania

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

2011
Working Paper

The Cost of Capital for Alternative Investments

By: Jakub W. Jurek and Erik Stafford

This paper studies the cost of capital for alternative investments. We document that the risk profile of the aggregate hedge fund universe can be accurately matched by a simple index put option writing strategy that offers monthly liquidity and complete transparency... View Details

Keywords: Cost of Capital; Financial Liquidity; Investment; Investment Return; Mathematical Methods; Risk and Uncertainty

December 1988
Article

Strategic Responses to Automobile Emissions Control: A Game-Theoretic Analysis

This paper examines the dynamics of standard-setting regulation under technological uncertainty and asymmetric information about technological capability. A two-period model which allows fully strategic action is developed and applied to the regulation of automobile... View Details

Keywords: Transportation; Pollutants; Standards; Governance Controls; Technological Innovation; Research and Development; Mathematical Methods

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18 Sep 2006
Research & Ideas

When Words Get in the Way: The Failure of Fiscal Language

arbitrary terms with no intrinsic meaning, a lesson that even economists have not learned. "On the General Relativity of Fiscal Language," a working paper for the National Bureau of Economic Research, provides a mathematical... View Details

Keywords: by Julia Hanna

01 Feb 1997
News

Leading the Way In Negotiation and Decision Making

executive programs have substantial negotiation components as well. The unit's research methods include everything from analyzing negotiations in progress to psychological lab studies with subjects in negotiation experiments to running... View Details

Keywords: Judith A. Ross

May 2010
Article

Bye Bye Bundles: The Unbundling of Music in Digital Channels

By: Anita Elberse

Fueled by digital distribution, unbundling is prevalent in many information industries. What is the effect of this unbundling on sales? And what bundle characteristics drive this effect? I empirically examine these questions in the context of the music industry, using... View Details

Keywords: Unbundling; Bundling; Digital Distribution; System-of-equations Modeling; Sales; Distribution Channels; Framework; Mathematical Methods; Revenue; Reputation; Internet and the Web; System; E-commerce; Information Industry; Music Industry

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October 2002
Exercise

Luster Paint Corporation, The

By: Janice H. Hammond

Describes a marketing director about to launch a new process for demand forecasting. Provides data that allow students to do a multivariable regression analysis. A rewritten version of an earlier case. View Details

Keywords: Forecasting and Prediction; Analytics and Data Science; Management Practices and Processes; Demand and Consumers; Mathematical Methods

November 1999 (Revised May 2000)
Supplement

Data Supplement: Post-War US Economic Statistics

By: Julio J. Rotemberg and Cherie Nursalim

Supplements Tax Cut of 1964 (9-382-078), Nixon's Economic Strategy--1969 (8-378-258), and The Reagan Plan (9-381-173). View Details

Keywords: History; Sovereign Finance; Development Economics; Mathematical Methods; Taxation; Policy; Government Administration; Macroeconomics; United States

January 1995 (Revised January 1995)
Case

USAA: Business Process Review for the Great Lakes Region (Abridged)

By: James L. Heskett

Presents the results of a service process analysis of USAA's claims processing activity in its Great Lakes Region. Explores not only issues of redesigning the process but also the organizational implications of various alternatives. View Details

Keywords: Restructuring; Mortgages; Management Practices and Processes; Business Processes; Organizational Design; Mathematical Methods; Real Estate Industry; North America

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

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

June 2021
Technical Note

Introduction to Linear Regression

By: Michael Parzen and Paul Hamilton

This technical note introduces (from an applied point of view) the theory and application of simple and multiple linear regression. The motivation for the model is introduced, as well as how to interpret the summary output with regard to prediction and statistical... View Details

Keywords: Linear Regression; Regression; Analysis; Forecasting and Prediction; Risk and Uncertainty; Theory; Compensation and Benefits; Mathematical Methods; Analytics and Data Science

Article

Moment-to-moment Optimal Branding in TV Commercials: Preventing Avoidance by Pulsing

By: Thales S. Teixeira, Michel Wedel and Rik Pieters

We develop a conceptual framework for understanding the impact that branding activity (the audio-visual representation of brands) and consumers' dispersion of attention have on their moment-to-moment avoidance decisions during television advertising. It formalizes this... View Details

Keywords: Advertising; Decision Choices and Conditions; Television Entertainment; Brands and Branding; Consumer Behavior; Mathematical Methods

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2009
Working Paper

Estimating the Effects of Large Shareholders Using a Geographic Instrument

By: Bo Becker, Henrik Cronqvist and Rudiger Fahlenbrach

Large shareholders may play an important role for firm performance and policies, but identifying this empirically presents a challenge due to the endogeneity of ownership structures. We develop and test an empirical framework which allows us to separate selection from... View Details

Keywords: Business Headquarters; Geographic Location; Corporate Governance; Governance Controls; Performance Effectiveness; Business and Shareholder Relations; Mathematical Methods

2010
Working Paper

Medium Term Business Cycles in Developing Countries

By: Diego A. Comin, Norman Loayza, Farooq Pasha and Luis Serven

We build a two-country asymmetric DSGE model with two features: (i) endogenous and slow diffusion of technologies from the developed to the developing country, and (ii) adjustment costs to investment flows. We calibrate the model to match the Mexico-U.S. trade and FDI... View Details

Keywords: Business Cycles; Developing Countries and Economies; Trade; International Finance; Foreign Direct Investment; Mathematical Methods; Mexico; United States

July 1987
Case

Altoona Corp.: Computer Products Division

By: Roger E. Bohn and Robert H. Hayes

A relatively small manufacturer of computer memory disks has achieved a major market position through the use of its statistical quality control (SQC) program. It is now expanding the production of a new line of disks and is encountering problems getting the process... View Details

Keywords: Factories, Labs, and Plants; Volatility; Performance Consistency; Performance Improvement; Performance Productivity; Quality; Mathematical Methods; Hardware; Manufacturing Industry

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May 1988
Background Note

Roles and Relationships of Business and Government

By: George C. Lodge

Synthesizes a wide range of literature and experience concerning comparative government-business relations, focusing especially on Japan, Europe, and the United States with some references to Brazil and Mexico. Designed for discussion in two consecutive class sessions.... View Details

Keywords: Economic Systems; Framework; Government and Politics; Mission and Purpose; Organizational Structure; Business and Government Relations; Mathematical Methods; System; Japan; Europe; Mexico; United States; Brazil

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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