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Publications

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  • All HBS Web  (617)
    • News  (18)
    • Research  (579)
    • Events  (3)
  • Faculty Publications  (568)

Show Results For

  • All HBS Web  (617)
    • News  (18)
    • Research  (579)
    • Events  (3)
  • Faculty Publications  (568)
← Page 19 of 617 Results →
  • Working Paper

The Long-Run Dynamics of Electricity Demand: Evidence from Municipal Aggregation

By: Tatyana Deryugina, Alexander MacKay and Julian Reif
Economic theory suggests that demand is more elastic in the long run relative to the short run, but evidence on the empirical relevance of this phenomenon is scarce. We study the dynamics of residential electricity demand by exploiting price variation arising from a... View Details
Keywords: Energy; Demand and Consumers; Price; Policy; Mathematical Methods
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Deryugina, Tatyana, Alexander MacKay, and Julian Reif. "The Long-Run Dynamics of Electricity Demand: Evidence from Municipal Aggregation." NBER Working Paper Series, No. 23483, October 2017.
  • October 2005 (Revised January 2009)
  • Background Note

Corporate Valuation and Market Multiples

By: Timothy A. Luehrman
Provides a basic introduction to the use of market multiples for business valuation. Explains the method's reliance on the Law of One Price, sets forth the basic steps for using the method, and reviews some practical issues arising in its application. View Details
Keywords: Business Ventures; Price; Market Transactions; Mathematical Methods; Valuation
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Luehrman, Timothy A. "Corporate Valuation and Market Multiples." Harvard Business School Background Note 206-039, October 2005. (Revised January 2009.)
  • September 1989
  • Background Note

Introduction to Decision Making

By: Francis Aguilar
Describes the process of decision making (establish objectives, generate alternatives, and so on) emphasizing the human side of it (using rules of thumb, favoring one's own pet projects) yet demonstrating the role an analytic/quantitative contribution has to make. View Details
Keywords: Decision Making; Goals and Objectives; Mathematical Methods; Perspective
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Aguilar, Francis. "Introduction to Decision Making." Harvard Business School Background Note 390-048, September 1989.
  • 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.
  • Working Paper

Group Fairness in Dynamic Refugee Assignment

By: Daniel Freund, Thodoris Lykouris, Elisabeth Paulson, Bradley Sturt and Wentao Weng
Ensuring that refugees and asylum seekers thrive (e.g., find employment) in their host countries is a profound humanitarian goal, and a primary driver of employment is the geographic location within a host country to which the refugee or asylum seeker is... View Details
Keywords: Refugees; Geographic Location; Mathematical Methods; Employment; Fairness
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Freund, Daniel, Thodoris Lykouris, Elisabeth Paulson, Bradley Sturt, and Wentao Weng. "Group Fairness in Dynamic Refugee Assignment." Harvard Business School Working Paper, No. 23-047, February 2023.
  • 03 Dec 2024
  • News

Magic Numbers

Courtesy Shalinee Sharma Courtesy Shalinee Sharma As a sixth grader in Buffalo, New York, Shalinee Sharma (MBA 2005) believed math just wasn’t her thing. There were only a few girls in the honors class at her new school, and Sharma soon realized that she was far behind... View Details
Keywords: Amy Crawford
  • 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 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.)
  • Article

Mitigating Bias in Adaptive Data Gathering via Differential Privacy

By: Seth Neel and Aaron Leon Roth
Data that is gathered adaptively—via bandit algorithms, for example—exhibits bias. This is true both when gathering simple numeric valued data—the empirical means kept track of by stochastic bandit algorithms are biased downwards—and when gathering more complicated... View Details
Keywords: Bandit Algorithms; Bias; Analytics and Data Science; Mathematical Methods; Theory
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Neel, Seth, and Aaron Leon Roth. "Mitigating Bias in Adaptive Data Gathering via Differential Privacy." Proceedings of the International Conference on Machine Learning (ICML) 35th (2018).
  • June 2005 (Revised March 2006)
  • Case

E Ink in 2005

By: David B. Yoffie and Barbara Mack
Explores the challenges of commercializing a bleeding-edge technology. After seven years, E Ink has spent more than $100 million to commercialize electronic ink. With business momentum picking up, but resources running out, the case examines the key trade-offs in... View Details
Keywords: Technological Innovation; Commercialization; Mathematical Methods; Consumer Products Industry; Technology Industry
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Yoffie, David B., and Barbara Mack. "E Ink in 2005." Harvard Business School Case 705-506, June 2005. (Revised March 2006.)
  • 1997
  • Chapter

Applications of Option-Pricing Theory: Twenty-Five Years Later

By: Robert C. Merton
Keywords: Asset Pricing; Stock Options; Mathematical Methods
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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
Keywords: Acquisition; Government and Politics; Price; Competition; Mathematical Methods
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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.)
  • 01 Oct 1999
  • News

Finance Conference Explores Research Methodologies

used traditional methods of inquiry - mathematical theory or statistical analysis, for instance - while others employed interviews, primary company materials, surveys, and close examination of the trading of... View Details
  • January 1971 (Revised November 1975)
  • Background Note

Linear Programming: A Technique for Analyzing Resource Allocation Problems

By: Paul W. Marshall
Keywords: Problems and Challenges; Mathematical Methods; Management Analysis, Tools, and Techniques
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Marshall, Paul W. "Linear Programming: A Technique for Analyzing Resource Allocation Problems." Harvard Business School Background Note 171-322, January 1971. (Revised November 1975.)
  • 2020
  • Working Paper

Contract Duration and the Costs of Market Transactions

By: Alexander MacKay
The optimal duration of a supply contract balances the costs of reselecting a supplier against the costs of being matched to an inefficient supplier when the contract lasts too long. I develop a structural model of contract duration that captures this tradeoff and... View Details
Keywords: Vertical Relationships; Transaction Costs; Contract Duration; Identification; Supply Chain; Cost; Contracts; Auctions; Mathematical Methods
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MacKay, Alexander. "Contract Duration and the Costs of Market Transactions." Harvard Business School Working Paper, No. 18-058, December 2017. (Revised May 2020. Direct download.)
  • 1977
  • Chapter

A Diagnostic Model for Organizational Behavior

By: D. Nadler and M. Tushman
Keywords: Mathematical Methods; Organizational Design; Organizational Structure; Behavior
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Nadler, D., and M. Tushman. "A Diagnostic Model for Organizational Behavior." In Perspectives on Behavior in Organizations, edited by Richard J. Hackman, Edward E. Lawler, Lyman W. Porter, and Patricia S. Nave. New York: McGraw-Hill, 1977.
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