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Show Results For
- All HBS Web
(854)
- News (79)
- Research (639)
- Events (14)
- Multimedia (4)
- Faculty Publications (632)
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- July 2023
- Article
Design and Analysis of Switchback Experiments
By: Iavor I Bojinov, David Simchi-Levi and Jinglong Zhao
In switchback experiments, a firm sequentially exposes an experimental unit to a random treatment, measures its response, and repeats the procedure for several periods to determine which treatment leads to the best outcome. Although practitioners have widely adopted... View Details
Bojinov, Iavor I., David Simchi-Levi, and Jinglong Zhao. "Design and Analysis of Switchback Experiments." Management Science 69, no. 7 (July 2023): 3759–3777.
- January 1997
- Background Note
Simulation as a Decision Aid
By: Roy D. Shapiro
A brief introduction to simulation--what it is, why it's used, etc. Meant to set context for a first class on simulation. A rewritten version of an earlier note. View Details
Shapiro, Roy D. "Simulation as a Decision Aid." Harvard Business School Background Note 697-062, January 1997.
- July 2019
- Article
Optimal Capital Structure and Bankruptcy Choice: Dynamic Bargaining vs Liquidation
By: Samuel Antill and Steven R. Grenadier
We model a firm’s optimal capital structure decision in a framework in which it may later choose to enter either Chapter 11 reorganization or Chapter 7 liquidation. Creditors anticipate equityholders’ ex-post reorganization incentives and price them into the ex-ante... View Details
Keywords: Default; Dynamic Bargaining; Capital Structure; Insolvency and Bankruptcy; Mathematical Methods
Antill, Samuel, and Steven R. Grenadier. "Optimal Capital Structure and Bankruptcy Choice: Dynamic Bargaining vs Liquidation." Journal of Financial Economics 133, no. 1 (July 2019): 198–224.
- 2018
- Working Paper
Algorithm Appreciation: People Prefer Algorithmic to Human Judgment
By: Jennifer M. Logg, Julia A. Minson and Don A. Moore
Even though computational algorithms often outperform human judgment, received wisdom suggests that people may be skeptical of relying on them (Dawes, 1979). Counter to this notion, results from six experiments show that lay people adhere more to advice when they think... View Details
Keywords: Algorithms; Accuracy; Advice Taking; Forecasting; Theory Of Machine; Mathematical Methods; Decision Making; Forecasting and Prediction; Trust
Logg, Jennifer M., Julia A. Minson, and Don A. Moore. "Algorithm Appreciation: People Prefer Algorithmic to Human Judgment." Harvard Business School Working Paper, No. 17-086, March 2017. (Revised April 2018.)
- 2011
- Working Paper
Price Competition under Multinomial Logit Demand Functions with Random Coefficients
In this paper, we postulate a general class of price competition models with Mixed Multinomial Logit demand functions under affine cost functions. We first characterize the equilibrium behavior of this class of models in the case where each product in the market is... View Details
Keywords: Customers; Income Characteristics; Price; Product Marketing; Mathematical Methods; Competition; Segmentation
Allon, Gad, Awi Federgruen, and Margaret Pierson. "Price Competition under Multinomial Logit Demand Functions with Random Coefficients." Harvard Business School Working Paper, No. 12-030, October 2011.
- May 2004
- Article
The Case for International Coordination of Electricity Regulation: Evidence from the Measurement of Efficiency in South America
A decade of experience has shown that monitoring the performance of public and private monopolies is the hardest part of electricity sector reform in South America—because operators control most of the information needed for effective regulation. South American... View Details
Keywords: Information; Mathematical Methods; Monopoly; Globalization; Energy Sources; Energy Industry; South America
Ruzzier, Christian Alejandro, A. Estache, and M. Rossi. "The Case for International Coordination of Electricity Regulation: Evidence from the Measurement of Efficiency in South America." Journal of Regulatory Economics 25, no. 3 (May 2004): 271–295.
- December 2024
- Article
Respect for Improvements and Comparative Statics in Matching Markets
One of the oldest results in the theory of two-sided matching is the entry comparative static, which shows that under the Gale–Shapley deferred acceptance algorithm, adding a new agent to one side of the market makes all the agents on the other side weakly... View Details
Kominers, Scott Duke. "Respect for Improvements and Comparative Statics in Matching Markets." Journal of Mechanism and Institution Design 9, no. 1 (December 2024): 83–104.
- September – October 2007
- Article
Trading Patterns and Excess Comovement of Stock Returns
By: Robin Greenwood and Nathan Sosner
n April 2000, 30 stocks were replaced in the Nikkei 225 Index. The unusually broad index redefinition allowed for a study of the effects of index-linked trading on the excess comovement of stock returns. A large increase occurred in the correlation of trading volume of... View Details
Greenwood, Robin, and Nathan Sosner. "Trading Patterns and Excess Comovement of Stock Returns." Financial Analysts Journal 63, no. 5 (September–October 2007): 69–81.
- 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
- 1985
- Chapter
The Role of Contingent Claims Analysis in Corporate Finance
By: Scott P. Mason and Robert C. Merton
- 1999
- Chapter
Interest Rate Rules in an Estimated Sticky Price Model
By: Julio J. Rotemberg and Michael Woodford
Rotemberg, Julio J., and Michael Woodford. "Interest Rate Rules in an Estimated Sticky Price Model." In Monetary Policy Rules, edited by John B. Taylor. Chicago: University of Chicago Press, 1999.
- August 2018
- Article
Extrapolation and Bubbles
By: Nicholas Barberis, Robin Greenwood, Lawrence Jin and Andrei Shleifer
We present an extrapolative model of bubbles. In the model, many investors form their demand for a risky asset by weighing two signals: an average of the asset’s past price changes and the asset’s degree of overvaluation. The two signals are in conflict, and investors... View Details
Barberis, Nicholas, Robin Greenwood, Lawrence Jin, and Andrei Shleifer. "Extrapolation and Bubbles." Journal of Financial Economics 129, no. 2 (August 2018): 203–227.
- 2016
- Working Paper
Algorithmic Foundations for Business Strategy
By: Mihnea Moldoveanu
I introduce algorithmic and meta-algorithmic models for the study of strategic problem solving, aimed at illuminating the processes and procedures by which strategic managers and firms deal with complex problems. These models allow us to explore the relationship... View Details
Moldoveanu, Mihnea. "Algorithmic Foundations for Business Strategy." Harvard Business School Working Paper, No. 17-036, October 2016.
- 1995
- Book
Introduction to Statistical Decision Theory
By: John W. Pratt, Howard Raiffa and Robert Schlaifer
Pratt, John W., Howard Raiffa, and Robert Schlaifer. Introduction to Statistical Decision Theory. MIT Press, 1995.
- January 1990 (Revised February 1990)
- Case
MSA: The Software Company--Planning the AMAPs Product Line
By: Robert J. Dolan
MSA has commissioned a major market research study to assess demand potential for a computer software system designed for aerospace and defense contractors. Students must evaluate the results of the study (including a conjoint analysis) to assess whether MSA should... View Details
Dolan, Robert J. "MSA: The Software Company--Planning the AMAPs Product Line." Harvard Business School Case 590-069, January 1990. (Revised February 1990.)
- May 1984 (Revised September 1986)
- Background Note
Basic Quantitative Analysis for Marketing
By: Robert J. Dolan
Shows how to calculate and use the break-even volume in marketing decision making. View Details
Dolan, Robert J. "Basic Quantitative Analysis for Marketing." Harvard Business School Background Note 584-149, May 1984. (Revised September 1986.)
- August 1983
- Background Note
Balance of Payments: Accounting and Presentation
By: David B. Yoffie
Provides an overview of balance of payments accounting and analytical presentation of balance of payments data. Includes sample transactions to illustrate the application of the basic accounting principles and definitions of the standard balances. View Details
Yoffie, David B. "Balance of Payments: Accounting and Presentation." Harvard Business School Background Note 384-005, August 1983.
- April 12, 2022
- Article
Evaluation of Individual and Ensemble Probabilistic Forecasts of COVID-19 Mortality in the United States
By: Estee Y. Cramer, Evan L. Ray, Velma K. Lopez, Johannes Bracher, Andrea Brennen, Alvaro J. Castro Rivadeneira, Michael Lingzhi Li and et al.
Short-term probabilistic forecasts of the trajectory of the COVID-19 pandemic in the United States have served as a visible and important communication channel between the scientific modeling community and both the general public and decision-makers. Forecasting models... View Details
Keywords: COVID-19; Forecasting and Prediction; Health Pandemics; Mathematical Methods; Partners and Partnerships
Cramer, Estee Y., Evan L. Ray, Velma K. Lopez, Johannes Bracher, Andrea Brennen, Alvaro J. Castro Rivadeneira, Michael Lingzhi Li, and et al. "Evaluation of Individual and Ensemble Probabilistic Forecasts of COVID-19 Mortality in the United States." e2113561119. Proceedings of the National Academy of Sciences 119, no. 15 (April 12, 2022). (See full author list here.)
- 2019
- Working Paper
Intelligent Artificiality: Algorithmic Microfoundations for Strategic Problem Solving
By: Mihnea Moldoveanu
This paper introduces algorithmic micro-foundations for formulating and solving strategic problems. It shows how the languages and disciplines of theoretical computer science, “artificial intelligence,” and computational complexity theory can be used to devise a set of... View Details
Keywords: Problems and Challenges; Analysis; Strategy; Framework; Management Analysis, Tools, and Techniques; Mathematical Methods
Moldoveanu, Mihnea. "Intelligent Artificiality: Algorithmic Microfoundations for Strategic Problem Solving." Harvard Business School Working Paper, No. 19-072, January 2019. (Revised February 2019.)
- October 2005 (Revised February 2010)
- Background Note
Calculating Free Cash Flows
By: Robin Greenwood and David S. Scharfstein
Outlines the mechanics of calculating free cash flows from historical and proforma financial statements. Focuses on the mechanical process of transforming numbers from financial forecasts into cash flows. View Details
Greenwood, Robin, and David S. Scharfstein. "Calculating Free Cash Flows." Harvard Business School Background Note 206-028, October 2005. (Revised February 2010.)