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Show Results For
- All HBS Web
(1,940)
- People (2)
- News (200)
- Research (1,361)
- Events (14)
- Multimedia (14)
- Faculty Publications (899)
- Article
An Optimization-based Econometric Framework for the Evaluation of Monetary Policy
By: Julio J. Rotemberg and Michael Woodford
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)
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
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
Hatfield, John William, Scott Duke Kominers, Alexandru Nichifor, Michael Ostrovsky, and Alexander Westkamp. "Full Substitutability." Theoretical Economics 14, no. 4 (November 2019): 1535–1590.
- 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
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
Preference Externality Estimators: A Comparison of Border Approaches and IVs
By: Xi Ling, Wesley R. Hartmann and Tomomichi Amano
This paper compares two estimators—the Border Approach and an Instrumental Variable (IV) estimator—using a unified framework where identifying variation arises from “preference externalities,” following the intuition in Waldfogel (2003). We highlight two dimensions in... View Details
Ling, Xi, Wesley R. Hartmann, and Tomomichi Amano. "Preference Externality Estimators: A Comparison of Border Approaches and IVs." Management Science (forthcoming). (Pre-published online January 23, 2024.)
- February 2005
- Article
An Econometric Analysis of Inventory Turnover Performance in Retail Services
By: Vishal Gaur, Marshall L. Fisher and Ananth Raman
Gaur, Vishal, Marshall L. Fisher, and Ananth Raman. "An Econometric Analysis of Inventory Turnover Performance in Retail Services." Management Science 51, no. 2 (February 2005): 181–194.
- June 2008
- Article
Minimally Acceptable Altruism and the Ultimatum Game
By: Julio J. Rotemberg
I suppose that people react with anger when others show themselves not to be minimally altruistic. With heterogeneous agents, this can account for the experimental results of ultimatum and dictator games. Moreover, it can account for the surprisingly large fraction of... View Details
Rotemberg, Julio J. "Minimally Acceptable Altruism and the Ultimatum Game." Journal of Economic Behavior & Organization 66, nos. 3-4 (June 2008).
- 1997
- Chapter
Applications of Option-Pricing Theory: Twenty-Five Years Later
By: Robert C. Merton
Merton, Robert C. "Applications of Option-Pricing Theory: Twenty-Five Years Later." In Les Prix Nobel 1997, edited by Tore Frängsmyr. Stockholm: Nobel Foundation, 1997. (Reprinted in American Economic Review, June 1998.)
- spring 1987
- Article
Second-Sourcing and the Experience Curve: Price Competition in Defense Procurement
By: James J. Anton and Dennis A. Yao
We examine a dynamic model of price competition in defense procurement that incorporates the experience curve, asymmetric cost information, and the availability of a higher cost alternative system. We model acquisition as a two-stage process in which initial production... View Details
Anton, James J., and Dennis A. Yao. "Second-Sourcing and the Experience Curve: Price Competition in Defense Procurement." RAND Journal of Economics 18, no. 1 (spring 1987): 57–76. (Harvard users click here for full text.)
- 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.
- 2023
- Article
Which Models Have Perceptually-Aligned Gradients? An Explanation via Off-Manifold Robustness
By: Suraj Srinivas, Sebastian Bordt and Himabindu Lakkaraju
One of the remarkable properties of robust computer vision models is that their input-gradients are often aligned with human perception, referred to in the literature as perceptually-aligned gradients (PAGs). Despite only being trained for classification, PAGs cause... View Details
Srinivas, Suraj, Sebastian Bordt, and Himabindu Lakkaraju. "Which Models Have Perceptually-Aligned Gradients? An Explanation via Off-Manifold Robustness." Advances in Neural Information Processing Systems (NeurIPS) (2023).
- March 2022 (Revised July 2022)
- Technical Note
Statistical Inference
This note provides an overview of statistical inference for an introductory data science course. First, the note discusses samples and populations. Next the note describes how to calculate confidence intervals for means and proportions. Then it walks through the logic... View Details
Keywords: Data Science; Statistics; Mathematical Modeling; Mathematical Methods; Analytics and Data Science
Bojinov, Iavor I., Michael Parzen, and Paul Hamilton. "Statistical Inference." Harvard Business School Technical Note 622-099, March 2022. (Revised July 2022.)
- March 2020
- Article
Diagnosing Missing Always at Random in Multivariate Data
By: Iavor I. Bojinov, Natesh S. Pillai and Donald B. Rubin
Models for analyzing multivariate data sets with missing values require strong, often assessable, assumptions. The most common of these is that the mechanism that created the missing data is ignorable—a twofold assumption dependent on the mode of inference. The first... View Details
Keywords: Missing Data; Diagnostic Tools; Sensitivity Analysis; Hypothesis Testing; Missing At Random; Row Exchangeability; Analytics and Data Science; Mathematical Methods
Bojinov, Iavor I., Natesh S. Pillai, and Donald B. Rubin. "Diagnosing Missing Always at Random in Multivariate Data." Biometrika 107, no. 1 (March 2020): 246–253.
- June 2000
- Article
On the Regulatory Application of Efficiency Measures
The last decade has witnessed a change to more powerful incentive schemes and the adoption by a large number of regulators of some form of price cap regimes. The efficiency frontiers literature tackles the problem of measuring the X factor in a price cap regime... View Details
Ruzzier, Christian Alejandro. "On the Regulatory Application of Efficiency Measures." Utilities Policy 9, no. 2 (June 2000): 81–92. (with M. Rossi.)
- August 2001 (Revised July 2008)
- Technical Note
A Technical Note and Discussion on Real Estate Valuation (IBET): Back of the Envelope (BOE) on Bonhomme Place: A Case within a Case
By: Arthur I Segel
Discusses real estate valuation. Reviews "back of the envelope" valuation; real estate appraisal methods, including the income method; market comparables and replacement costs; and more complex computer modeling. Also discusses other variables that could influence... View Details
Segel, Arthur I. "A Technical Note and Discussion on Real Estate Valuation (IBET): Back of the Envelope (BOE) on Bonhomme Place: A Case within a Case." Harvard Business School Technical Note 802-025, August 2001. (Revised July 2008.)
- 1980
- Chapter
Tests of Capital Market Theory and Implications of the Evidence
By: Michael Jensen
Jensen, Michael. "Tests of Capital Market Theory and Implications of the Evidence." In Handbook of Financial Economics, edited by J. L. Bicksler. North-Holland Publishing Company, 1980. (Originally published in Is Financial Analysis Useless? Proceedings of a Seminar on the Efficient Market and Random Walk Hypotheses (The Financial Analysts Research Foundation, 1975).)
- Article
Value of Information with Sequential Futures Markets
By: Jerry R. Green
The effects of an improvement in information on the efficiency of risk-bearing are studied under various systems of incomplete markets. With sequential futures markets for uncontingent delivery, the welfare effects are indeterminate in sign, except under special... View Details
Green, Jerry R. "Value of Information with Sequential Futures Markets." Econometrica 49, no. 2 (March 1981): 335–358.
- March 2010
- Article
Matching with Preferences over Colleagues Solves Classical Matching
In this note, we demonstrate that the problem of "many-to-one matching with (strict) preferences over colleagues" is actually more difficult than the classical many-to-one matching problem, "matching without preferences over colleagues." We give an explicit reduction... View Details
Kominers, Scott Duke. "Matching with Preferences over Colleagues Solves Classical Matching." Games and Economic Behavior 68, no. 2 (March 2010): 773–780.