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

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2019
Article

Ridesharing with Driver Location Preferences

By: Duncan Rheingans-Yoo, Scott Duke Kominers, Hongyao Ma and David C. Parkes

We study revenue-optimal pricing and driver compensation in ridesharing platforms when drivers have heterogeneous preferences over locations. If a platform ignores drivers' location preferences, it may make inefficient trip dispatches; moreover, drivers may strategize... View Details

Keywords: Ridesharing; Pricing; Compensation and Benefits; Geographic Location; Market Design; Mathematical Methods

Article

An Exploration of Optimal Stabilization Policy

By: N. Gregory Mankiw and Matthew C. Weinzierl

This paper examines the optimal response of monetary and fiscal policy to a decline in aggregate demand. The theoretical framework is a two-period general equilibrium model in which prices are sticky in the short-run and flexible in the long-run. Policy is evaluated by... View Details

Keywords: Fiscal Policy; Monetary Policy; Economic Models; Aggregate Demand; Demand and Consumers; Money; Mathematical Methods; Taxation; Spending; Policy; Welfare; Household; Economic Slowdown and Stagnation

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Article

Reputation When Threats and Transfers Are Available

By: Ernesto Dal Bo, Pedro Dal Bo and Rafael Di Tella

We present a model where a long-run player is allowed to use both money transfers and threats to influence the decisions of a sequence of short-run players. We show that threats might be used credibly (even in arbitrarily short repeated games) by a long-lived player... View Details

Keywords: Crime and Corruption; Decision Choices and Conditions; Game Theory; Mathematical Methods; Interests; Power and Influence; Reputation

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2007
Working Paper

Recognizing the New: A Multi-Agent Model of Analogy in Strategic Decision-Making

By: Giovanni Gavetti and Massimo Warglien

In novel environments, strategic decision-making is often premised on analogy, and recognition lies at its heart. Recognition refers to a class of cognitive processes through which a problem is interpreted associatively in terms of something that has been experienced... View Details

Keywords: Interpersonal Communication; Decision Choices and Conditions; Mathematical Methods; Cognition and Thinking; Power and Influence

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

2011
Working Paper

The Flexible Substitution Logit: Uncovering Category Expansion and Share Impacts of Marketing Instruments

By: Qiang Liu, Thomas J. Steenburgh and Sachin Gupta

Different instruments are relevant for different marketing objectives (category demand expansion or market share stealing). To help brand managers make informed marketing mix decisions, it is essential that marketing mix models appropriately measure the different... View Details

Keywords: Decision Choices and Conditions; Forecasting and Prediction; Investment; Brands and Branding; Marketing Strategy; Demand and Consumers; Mathematical Methods

2010
Working Paper

Agency Revisited

By: Ramon Casadesus-Masanell and Daniel F. Spulber

The article presents a comprehensive overview of the principal-agent model that emphasizes the role of trust in the agency relationship. The analysis demonstrates that the legal remedy for breach of duty can result in a full-information efficient outcome eliminating... View Details

Keywords: Ethics; Contracts; Agency Theory; Mathematical Methods; Behavior; Trust

June 2009
Teaching Note

Stryker Corporation: In-sourcing PCBs (TN)

By: Timothy A. Luehrman

Teaching Note for [207121]. View Details

Keywords: Investment; Capital Budgeting; Valuation; Investment Return; Mathematical Methods; Medical Devices and Supplies Industry

2008
Working Paper

Minimally Altruistic Wages and Unemployment in a Matching Model

By: Julio J. Rotemberg

This paper presents a model in which firms recruit both unemployed and employed workers by posting vacancies. Firms act monopsonistically and set wages to retain their existing workers as well as to attract new ones. The model differs from Burdett and Mortensen (1998)... View Details

Keywords: Retention; Selection and Staffing; Employment; Wages; Mathematical Methods

June 2011 (Revised January 2013)
Case

Oddo Securities―ESG Integration

By: Paul M. Healy

The case describes the process of integrating environmental, social, and governance issues into valuation models and research analyst recommendations. View Details

Keywords: Financial Strategy; Mathematical Methods; Integration; Valuation; Environmental Sustainability; Social Issues; Governance Controls; Investment

February 2007 (Revised January 2008)
Supplement

Multifactor Models (CW)

By: Malcolm P. Baker

Keywords: Asset Pricing; Cost of Capital; Forecasting and Prediction; Investment Funds; Investment Return; Mathematical Methods; Performance Evaluation

November 2002 (Revised March 2010)
Case

The Newsprint Industry

By: Ramon Casadesus-Masanell, Nabil I. Al-Najjar and James Pyke

Describes the 1990s consolidation on the newsprint industry. Questions whether consolidation will ever deliver on its promise. Whereas some industry observers maintain that the effects of consolidation are already visible, others argue that further consolidation is... View Details

Keywords: Five Forces Framework; Duopoly and Oligopoly; Monopoly; Mathematical Methods; Competition; Consolidation; Pulp and Paper Industry

2005
Working Paper

Nominal versus Indexed Debt: A Quantitative Horse Race

By: Laura Alfaro and Fabio Kanczuk

The main arguments in favor of and against nominal and indexed debt are the incentive to default through inflation versus hedging against unforeseen shocks. We model and calibrate these arguments to assess their quantitative importance. We use a dynamic equilibrium... View Details

Keywords: Borrowing and Debt; Taxation; Risk and Uncertainty; Inflation and Deflation; System Shocks; Developing Countries and Economies; Mathematical Methods

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

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
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

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

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