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  • All HBS Web  (854)
    • News  (79)
    • Research  (639)
    • Events  (14)
    • Multimedia  (4)
  • Faculty Publications  (632)

Show Results For

  • All HBS Web  (854)
    • News  (79)
    • Research  (639)
    • Events  (14)
    • Multimedia  (4)
  • Faculty Publications  (632)
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  • Fall 2012
  • Article

Innovation Strategy and Entry Deterrence

By: Ozge Turut and Elie Ofek
We model an incumbent's decision to pursue radical or incremental innovation when facing a rival entrant. The radical innovation may yield lucrative financial returns but entails significant technological and market-related uncertainties. It is also particularly... View Details
Keywords: Competition; Innovation Strategy; Risk and Uncertainty; Markets; Mathematical Methods
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Turut, Ozge, and Elie Ofek. "Innovation Strategy and Entry Deterrence." Journal of Economics & Management Strategy 12, no. 3 (Fall 2012).
  • 2007
  • Working Paper

The Political Economy of 'Natural' Disasters

By: Charles Cohen and Eric D. Werker
Natural disasters occur in a political space. Although events beyond our control may trigger a disaster, the level of government preparedness and response greatly determines the extent of suffering incurred by the affected population. We use a political economy model... View Details
Keywords: Policy; Government and Politics; Strategic Planning; Mathematical Methods; Natural Disasters; Welfare or Wellbeing
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Cohen, Charles, and Eric D. Werker. "The Political Economy of 'Natural' Disasters." Harvard Business School Working Paper, No. 08-040, December 2007. (Revised November 2008.)
  • Article

An Optimization-based Econometric Framework for the Evaluation of Monetary Policy

By: Julio J. Rotemberg and Michael Woodford
Keywords: Framework; Mathematical Methods; Money; Policy
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Rotemberg, Julio J., and Michael Woodford. "An Optimization-based Econometric Framework for the Evaluation of Monetary Policy." NBER Macroeconomics Annual 12 (1997): 297–344.
  • March 1989 (Revised April 1998)
  • Case

Marriott Corporation: The Cost of Capital (Abridged)

By: Richard S. Ruback
Gives students the opportunity to explore how a company uses the Capital Asset Pricing Model (CAPM) to compute the cost of capital for each of its divisions. The use of Weighted Average Cost of Capital (WACC) formula and the mechanics of applying it are stressed. View Details
Keywords: Cost of Capital; Mathematical Methods
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Ruback, Richard S. "Marriott Corporation: The Cost of Capital (Abridged)." Harvard Business School Case 289-047, March 1989. (Revised April 1998.)
  • November 2019
  • Article

Full Substitutability

By: John William Hatfield, Scott Duke Kominers, Alexandru Nichifor, Michael Ostrovsky and Alexander Westkamp
Various forms of substitutability are essential for establishing the existence of equilibria and other useful properties in diverse settings such as matching, auctions, and exchange economies with indivisible goods. We extend earlier models’ definitions of... View Details
Keywords: Substitutability; Mathematical Methods; Auctions; Market Design
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Hatfield, John William, Scott Duke Kominers, Alexandru Nichifor, Michael Ostrovsky, and Alexander Westkamp. "Full Substitutability." Theoretical Economics 14, no. 4 (November 2019): 1535–1590.
  • July 2008 (Revised May 2009)
  • Teaching Note

The Springfield Nor'easters: Maximizing Revenues in the Minor Leagues (Brief Case)

By: Frank V. Cespedes, Christopher H. Lovelock and Laura Winig
Teaching Note for 2510 View Details
Keywords: Market Research; Quantitative Analysis; Consumer Marketing; Pricing Strategy; Price; Mathematical Methods; Marketing Channels
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Cespedes, Frank V., Christopher H. Lovelock, and Laura Winig. "The Springfield Nor'easters: Maximizing Revenues in the Minor Leagues (Brief Case)." Harvard Business School Teaching Note 082-511, July 2008. (Revised May 2009.)
  • November 2012
  • Article

The Variance of Non-Parametric Treatment Effect Estimators in the Presence of Clustering

By: Samuel G. Hanson and Adi Sunderam
Non-parametric estimators of treatment effects are often applied in settings where clustering may be important. We provide a general methodology for consistently estimating the variance of a large class of non-parametric estimators, including the simple matching... View Details
Keywords: Treatment Effects; Matching Estimators; Clustering; Applications and Software; Mathematical Methods
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Hanson, Samuel G., and Adi Sunderam. "The Variance of Non-Parametric Treatment Effect Estimators in the Presence of Clustering." Review of Economics and Statistics 94, no. 4 (November 2012). (Stata and Matlab Code Here.)
  • Forthcoming
  • Article

Sticky Capital Controls

By: Miguel Acosta-Henao, Laura Alfaro and Andrés Fernández
There is much ongoing debate on the merits of capital controls as effective policy instruments. The differing perspectives are due in part to a lack of empirical studies that look at the intensive margin of controls, which in turn has prevented a quantitative... View Details
Keywords: Capital Controls; Macroprudential Policies; Stickiness; Intensive; (S, S) Costs; Capital; Management; Macroeconomics; Governance Controls; Mathematical Methods
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Acosta-Henao, Miguel, Laura Alfaro, and Andrés Fernández. "Sticky Capital Controls." Journal of International Economics (forthcoming).
  • July 2012
  • Article

Discrete Choice Cannot Generate Demand That Is Additively Separable in Own Price

By: Sonia Jaffe and Scott Duke Kominers
We show that in a unit demand discrete choice framework with at least three goods, demand cannot be additively separable in own price. This result sharpens the analogous result of Jaffe and Weyl (2010) in the case of linear demand and has implications for testing of... View Details
Keywords: Discrete Choice; Unit Demand; Separable Demand; Linear Demand; Demand and Consumers; Market Design; Mathematical Methods; Economics
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Jaffe, Sonia, and Scott Duke Kominers. "Discrete Choice Cannot Generate Demand That Is Additively Separable in Own Price." Economics Letters 116, no. 1 (July 2012): 129–132.
  • 2004
  • Chapter

The Harrod-Domar Model

By: Diego Comin
Keywords: Mathematical Methods; Economic Growth; Development Economics; Capital
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Comin, Diego. "The Harrod-Domar Model." In An Eponymous Dictionary of Economics, edited by C. R. Braun and Julio Segura. Edward Elgar Publishing, 2004.
  • June 2008
  • Supplement

Marie Trellu-Kane at Unis-Cite

By: Michel Anteby and Julie Battilana
Video supplement to Marie Trellu-Kane at Unis-Cite (A). View Details
Keywords: Social Enterprise; Organizational Design; Mathematical Methods; Paris
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Anteby, Michel, and Julie Battilana. "Marie Trellu-Kane at Unis-Cite." Harvard Business School Video Supplement 408-709, June 2008.
  • 1996
  • Thesis

Limits on Interest Rate Rules in Macroeconomic Models Governed by Price Stickiness and Rational Expectations

By: William R. Kerr
Keywords: Interest Rates; Macroeconomics; Mathematical Methods
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Kerr, William R. "Limits on Interest Rate Rules in Macroeconomic Models Governed by Price Stickiness and Rational Expectations." Thesis, University of Virginia, 1996.
  • August 1991
  • Background Note

Industrial Market Research: Beta Test Site Management

By: Robert J. Dolan
Describes the role of BETA tests in the new product development process and presents guidelines for effective test program development. View Details
Keywords: Product Development; Mathematical Methods; Marketing
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Dolan, Robert J. "Industrial Market Research: Beta Test Site Management." Harvard Business School Background Note 592-010, August 1991.
  • July 2002
  • Article

The Economist As Engineer: Game Theory, Experimental Economics and Computation As Tools of Design Economics

By: Alvin E Roth
Keywords: Game Theory; Economics; Mathematical Methods; Design
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Roth, Alvin E. "The Economist As Engineer: Game Theory, Experimental Economics and Computation As Tools of Design Economics." Econometrica 70, no. 4 (July 2002): 1341–1378.
  • 2025
  • Article

Statistical Inference for Heterogeneous Treatment Effects Discovered by Generic Machine Learning in Randomized Experiments

By: Kosuke Imai and Michael Lingzhi Li
Researchers are increasingly turning to machine learning (ML) algorithms to investigate causal heterogeneity in randomized experiments. Despite their promise, ML algorithms may fail to accurately ascertain heterogeneous treatment effects under practical settings with... View Details
Keywords: AI and Machine Learning; Mathematical Methods; Analytics and Data Science
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Imai, Kosuke, and Michael Lingzhi Li. "Statistical Inference for Heterogeneous Treatment Effects Discovered by Generic Machine Learning in Randomized Experiments." Journal of Business & Economic Statistics 43, no. 1 (2025): 256–268.
  • January 2021
  • Article

Using Models to Persuade

By: Joshua Schwartzstein and Adi Sunderam
We present a framework where "model persuaders" influence receivers’ beliefs by proposing models that organize past data to make predictions. Receivers are assumed to find models more compelling when they better explain the data, fixing receivers’ prior beliefs. Model... View Details
Keywords: Model Persuasion; Analytics and Data Science; Forecasting and Prediction; Mathematical Methods; Framework
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Schwartzstein, Joshua, and Adi Sunderam. "Using Models to Persuade." American Economic Review 111, no. 1 (January 2021): 276–323.
  • August 2020 (Revised September 2020)
  • Technical Note

Assessing Prediction Accuracy of Machine Learning Models

By: Michael W. Toffel, Natalie Epstein, Kris Ferreira and Yael Grushka-Cockayne
The note introduces a variety of methods to assess the accuracy of machine learning prediction models. The note begins by briefly introducing machine learning, overfitting, training versus test datasets, and cross validation. The following accuracy metrics and tools... View Details
Keywords: Machine Learning; Statistics; Econometric Analyses; Experimental Methods; Data Analysis; Data Analytics; Forecasting and Prediction; Analytics and Data Science; Analysis; Mathematical Methods
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Toffel, Michael W., Natalie Epstein, Kris Ferreira, and Yael Grushka-Cockayne. "Assessing Prediction Accuracy of Machine Learning Models." Harvard Business School Technical Note 621-045, August 2020. (Revised September 2020.)
  • May 2011
  • Teaching Note

The Morrison Company (Brief Case)

By: Steven C. Wheelwright and Paul Meyers
Teaching Note for 4564. View Details
Keywords: Quantitative Analysis; Technology; Operations Management; Product Lines; Manufacturing; Capacity Planning; Production Planning; Information Technology; Production; Mathematical Methods; Performance Capacity; Product Development; Planning; Manufacturing Industry
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Wheelwright, Steven C., and Paul Meyers. "The Morrison Company (Brief Case)." Harvard Business School Teaching Note 114-565, May 2011.
  • October 2011
  • Article

The Surprising Power of Age-Dependent Taxes

By: Matthew C. Weinzierl
This article provides a new, empirically driven application of the dynamic Mirrleesian framework by studying a feasible and potentially powerful tax reform: age-dependent labor income taxation. I show analytically how age dependence improves policy on both the... View Details
Keywords: Taxation; Policy; Age; Income; Mathematical Methods; Welfare; United States
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Weinzierl, Matthew C. "The Surprising Power of Age-Dependent Taxes." Review of Economic Studies 78, no. 4 (October 2011): 1490–1518. (Also Harvard Business School Working Paper, No. 11-114, May 2011.)
  • 2011
  • Working Paper

Better-reply Dynamics in Deferred Acceptance Games

In this paper we address the question of learning in a two-sided matching mechanism that utilizes the deferred acceptance algorithm. We consider a repeated matching game where at each period agents observe their match and have the opportunity to revise their strategy... View Details
Keywords: Learning; Marketplace Matching; Outcome or Result; Game Theory; Mathematical Methods; Strategy
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Haeringer, Guillaume, and Hanna Halaburda. "Better-reply Dynamics in Deferred Acceptance Games." Harvard Business School Working Paper, No. 11-126, June 2011.
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