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  • All HBS Web  (1,922)
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← Page 59 of 1,922 Results →
  • 2018
  • Working Paper

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." Harvard Business School Working Paper, No. 19-016.
  • Article

Testing Substitutability

By: John William Hatfield, Nicole Immorlica and Scott Duke Kominers
We provide an algorithm for testing the substitutability of a length-N preference relation over a set of contracts X in time O(|X|3⋅N3). Access to the preference relation is essential for this result: We show that a substitutability-testing algorithm with access only... View Details
Keywords: Substitutability; Matching; Communication Complexity; Preference Elicitation; Marketplace Matching; Communication; Mathematical Methods; Economics
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Hatfield, John William, Nicole Immorlica, and Scott Duke Kominers. "Testing Substitutability." Games and Economic Behavior 75, no. 2 (July 2012): 639–645.
  • 1980
  • Chapter

Network Analysis on Organization

By: Michael Tushman
Keywords: Organizational Design; Networks; Mathematical Methods
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Tushman, Michael. "Network Analysis on Organization." In Organizational Assessment: Perspectives on the Measurement of Organizational Behavior and the Quality of Working Life, edited by Edward Lawler. New York: John Wiley & Sons, 1980.
  • January 2004 (Revised March 2005)
  • Case

Valuation Ratios in the Restaurant Industry

By: Paul M. Healy and Krishna G. Palepu
Examines factors underlying differences in valuation multiples (price-earnings and price-to-book) across four firms in the restaurant industry. View Details
Keywords: Business Earnings; Valuation; Mathematical Methods; Food and Beverage Industry
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Healy, Paul M., and Krishna G. Palepu. "Valuation Ratios in the Restaurant Industry." Harvard Business School Case 104-066, January 2004. (Revised March 2005.)
  • 1983
  • Article

Cost-Benefit Analysis Defended

By: Dutch Leonard and Richard Zeckhauser
Keywords: Cost vs Benefits; Mathematical Methods
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Leonard, Dutch, and Richard Zeckhauser. "Cost-Benefit Analysis Defended." QQ: Report from the Center for Philosophy and Public Policy 3, no. 3 (1983).
  • January 1978
  • Background Note

Regression and Forecasting Using the AQD Package

By: Arthur Schleifer Jr.
Keywords: Forecasting and Prediction; Mathematical Methods
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Schleifer, Arthur, Jr. "Regression and Forecasting Using the AQD Package." Harvard Business School Background Note 178-095, January 1978.
  • Profile

Raymond Hwang

Why spine surgery? “Spine surgery has an appealing and somewhat unique set of characteristics. There is a great deal we have yet to understand about spine-related disorders, making the practice and research of spine care both challenging... View Details
Keywords: Services; Entrepreneurship; Health Care
  • 01 Dec 2020
  • News

Tried and Tested

imbalanced gender dynamics around them. Now, as experimental economists, their research is helping define the complex factors that contribute to the workplace gender gap—and sparking ideas about how to mitigate it. Here, they talk about... View Details
Keywords: Jen McFarland Flint; Scientific Research and Development Services
  • November 2024
  • 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
Keywords: Econometrics; Casual Inference; Marketing; Economics; Advertising; Mathematical Methods
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Ling, Xi, Wesley R. Hartmann, and Tomomichi Amano. "Preference Externality Estimators: A Comparison of Border Approaches and IVs." Management Science 70, no. 11 (November 2024): 7892–7910.
  • February 2005
  • Article

An Econometric Analysis of Inventory Turnover Performance in Retail Services

By: Vishal Gaur, Marshall L. Fisher and Ananth Raman
Keywords: Mathematical Methods; Assets; Performance; Sales; Retail Industry
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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.
  • 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
Keywords: AI and Machine Learning; Mathematical Methods
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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 January 2025)
  • Technical Note

Statistical Inference

By: Iavor I. Bojinov, Michael Parzen and Paul Hamilton
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
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Bojinov, Iavor I., Michael Parzen, and Paul Hamilton. "Statistical Inference." Harvard Business School Technical Note 622-099, March 2022. (Revised January 2025.)
  • 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
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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
Keywords: Performance Productivity; Mathematical Methods; Performance Efficiency
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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
Keywords: Investment Funds; Mathematical Methods; Valuation; Real Estate Industry
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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.)
  • 1972
  • Chapter

Sociotechnical and Cognitive Models

By: Stephen Allen and John J. Gabarro
Keywords: Cognition and Thinking; Mathematical Methods; Society; Technology
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Allen, Stephen, and John J. Gabarro. "Sociotechnical and Cognitive Models." In Organization Planning, edited by Jay W. Lorsch and Paul R. Lawrence. Homewood, IL: Richard D. Irwin, 1972.
  • January 2008 (Revised April 2008)
  • Teaching Note

Pilgrim Bank (B): Statistics Review with Data Desk

By: Frances X. Frei
Teaching Note for 602095. View Details
Keywords: Banks and Banking; Mathematical Methods; Banking Industry
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Frei, Frances X. "Pilgrim Bank (B): Statistics Review with Data Desk." Harvard Business School Teaching Note 608-096, January 2008. (Revised April 2008.)
  • September 1993 (Revised August 2011)
  • Exercise

ExtendSim® Simulation Exercises in Process Analysis (B)

By: Roy D. Shapiro
Second set of exercises meant to be used with ExtendSim, a simulation package created by Imagine That, Inc. of San Jose, California, that allows students to investigate the impact of adding buffers to simple in-line processes with uncertain processing times. View Details
Keywords: Measurement and Metrics; Operations; Production; Mathematical Methods
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Shapiro, Roy D. "ExtendSim® Simulation Exercises in Process Analysis (B)." Harvard Business School Exercise 694-040, September 1993. (Revised August 2011.)
  • 2006
  • Chapter

Interorganizational Cooperation between Not-for-profit Organizations: A Relational Analysis

By: Julie Battilana and Metin Sengul
Keywords: Nonprofit Organizations; Cooperation; Mathematical Methods
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Battilana, Julie, and Metin Sengul. "Interorganizational Cooperation between Not-for-profit Organizations: A Relational Analysis." In Relational Perspectives in Organization Studies: A Research Companion, edited by Olympia Kyriakidou and Mustafa F. Özbilgin, 197–220. Cheltenham, U.K.: Edward Elgar Publishing, 2006.
  • 14 May 2014
  • News

(Re)moving the Needle

You wouldn't think that the lowly, annoying mosquito would have anything to teach researchers working on the cutting edge of drug delivery methodology, but you would be wrong. Have you ever noticed that you don't become aware of a... View Details
Keywords: Robert S. Benchley; medical technology; Scientific Research and Development Services
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