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  • All HBS Web  (839)
    • News  (79)
    • Research  (640)
    • Events  (14)
    • Multimedia  (4)
  • Faculty Publications  (634)

Show Results For

  • All HBS Web  (839)
    • News  (79)
    • Research  (640)
    • Events  (14)
    • Multimedia  (4)
  • Faculty Publications  (634)
← Page 26 of 839 Results →
  • March 2016 (Revised January 2020)
  • Teaching Note

Behavioural Insights Team (A) and (B)

By: Michael Luca and Patrick Rooney
The Behavioural Insights Team case introduces students to the concept of choice architecture and the value of experimental methods (sometimes called A/B testing) within organizational contexts. The exercise provides an opportunity for students to apply these principles... View Details
Keywords: Behavioral Economics; Experiments; Choice Architecture; Public Entrepreneurship; Decision Choices and Conditions; Mathematical Methods; United Kingdom
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Luca, Michael, and Patrick Rooney. "Behavioural Insights Team (A) and (B)." Harvard Business School Teaching Note 916-050, March 2016. (Revised January 2020.)
  • 1977
  • Chapter

A Reexamination of the Capital Asset Pricing Model

By: Robert C. Merton
Keywords: Capital; Asset Pricing; Mathematical Methods
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Merton, Robert C. "A Reexamination of the Capital Asset Pricing Model." In Studies in Risk and Return, edited by J. Bicksler and I. Friend. Cambridge, MA: Ballinger Publishing Company, 1977.
  • March 2011 (Revised April 2021)
  • Case

The Whiz Kids

By: Tom Nicholas and David Chen
In October 1945, Henry Ford II received a telegram in his office at the Ford Motor Company in Dearborn, Michigan written by Charles "Tex" Thornton, a U.S. Air Force colonel. The telegram presented an opportunity for Ford to deploy a system of statistical control which... View Details
Keywords: Ford Motor Company; Statistical Control; Management Systems; Accounting; Operations; Strategy; Mathematical Methods; Auto Industry; United States
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Nicholas, Tom, and David Chen. "The Whiz Kids." Harvard Business School Case 811-042, March 2011. (Revised April 2021.)
  • 01 Mar 2016
  • News

Faculty Q&A: Price Check

How did you come to focus on algorithmic pricing? In my doctoral work at MIT, I was studying optimization, probability, and machine learning, which are essentially mathematical tools that enable us to use data to make better decisions.... View Details
Keywords: Julia Hanna; Nonstore Retailers; Retail Trade
  • Profile

Mike Watitwa

to good schools, some of which were well beyond his means. He also had an unrivalled work ethic. He would wake up early in the morning and till the farm for about an hour before preparing to go to the nearby high school where he was a View Details
  • 01 Jun 2017
  • News

Ask the Expert: On the Fly

(above: photo by Getty Images/Patrick Foto) A mathematics major, Don Carty (MBA 1971) has always seen the airline business as a huge puzzle, with the equation involving inventory and pricing, cruising allocations, weather, and holiday... View Details
Keywords: Julia Hanna
  • 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.
  • August 2003 (Revised May 2009)
  • Background Note

Basic Venture Capital Formula, The

By: William A. Sahlman and Matthew Willis
Briefly summarizes the process that venture capitalists use to analyze high-risk, long-term investments. Contains information on methods that can be used to calculate valuation, share price, percent ownership, implied valuation, dilution, and option pools. View Details
Keywords: Venture Capital; Risk Management; Mathematical Methods; Valuation
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Sahlman, William A., and Matthew Willis. "Basic Venture Capital Formula, The." Harvard Business School Background Note 804-042, August 2003. (Revised May 2009.)
  • December 2024
  • Article

Respect for Improvements and Comparative Statics in Matching Markets

By: Scott Duke Kominers
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
Keywords: Market Entry and Exit; Marketplace Matching; Mathematical Methods; Market Design
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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
Keywords: Stocks; Investment Return; Market Transactions; Mathematical Methods
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Greenwood, Robin, and Nathan Sosner. "Trading Patterns and Excess Comovement of Stock Returns." Financial Analysts Journal 63, no. 5 (September–October 2007): 69–81.
  • 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.)
  • 2022
  • Article

Data Poisoning Attacks on Off-Policy Evaluation Methods

By: Elita Lobo, Harvineet Singh, Marek Petrik, Cynthia Rudin and Himabindu Lakkaraju
Off-policy Evaluation (OPE) methods are a crucial tool for evaluating policies in high-stakes domains such as healthcare, where exploration is often infeasible, unethical, or expensive. However, the extent to which such methods can be trusted under adversarial threats... View Details
Keywords: Analytics and Data Science; Cybersecurity; Mathematical Methods
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Lobo, Elita, Harvineet Singh, Marek Petrik, Cynthia Rudin, and Himabindu Lakkaraju. "Data Poisoning Attacks on Off-Policy Evaluation Methods." Proceedings of the Conference on Uncertainty in Artificial Intelligence (UAI) 38th (2022): 1264–1274.
  • 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
Citation
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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.
  • Article

Formal Measures in Informal Management: Can a Balanced Scorecard Change a Culture?

By: Robert Gibbons and Robert S. Kaplan
Agency theorists, historically, have analyzed what kinds of performance measures should be used in formal incentive contracts. For example, after Kaplan-Norton proposed a balanced scorecard of both financial and non-financial measures, some envisioned its role only in... View Details
Keywords: Relational Contracts; Performance Measurement; Informal Management; Balanced Scorecard; Economics; Mathematical Methods
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Gibbons, Robert, and Robert S. Kaplan. "Formal Measures in Informal Management: Can a Balanced Scorecard Change a Culture?" American Economic Review: Papers and Proceedings 105, no. 5 (May 2015).
  • 2007
  • Working Paper

Deferred Acceptance Algorithms: History, Theory, Practice, and Open Questions

By: Alvin E. Roth
The deferred acceptance algorithm proposed by Gale and Shapley (1962) has had a profound influence on market design, both directly, by being adapted into practical matching mechanisms, and, indirectly, by raising new theoretical questions. Deferred acceptance... View Details
Keywords: Education; Marketplace Matching; Market Design; Mathematical Methods; Theory; Practice
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Roth, Alvin E. "Deferred Acceptance Algorithms: History, Theory, Practice, and Open Questions." NBER Working Paper Series, No. 13225, July 2007.
  • Article

Wealth-Making in Nineteenth and Early Twentieth Century Britain: Industry v. Commerce and Finance

By: Tom Nicholas
This paper refutes the hypothesis put forward by W.D. Rubinstein that a disproportionately large share of Britain's wealth makers were active in commercial and financial trades in London. We use a data set of businessmen active in nineteenth- and early... View Details
Keywords: Trade; Finance; Commercialization; Mathematical Methods; Wealth and Poverty; Great Britain; London
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Nicholas, Tom. "Wealth-Making in Nineteenth and Early Twentieth Century Britain: Industry v. Commerce and Finance." Business History 41, no. 1 (January 1999).
  • 1992
  • Chapter

Thinking Coalitionally: Party Arithmetic, Process Opportunism, and Strategic Sequencing

By: James K. Sebenius and David Lax
Keywords: Alliances; Negotiation Process; Mathematical Methods; Strategy
Citation
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Sebenius, James K., and David Lax. "Thinking Coalitionally: Party Arithmetic, Process Opportunism, and Strategic Sequencing." In Negotiation Analysis, edited by H. Peyton Young, 153–193. Ann Arbor, MI: University of Michigan Press, 1992.
  • 2024
  • Working Paper

Anytime-Valid Inference in Linear Models and Regression-Adjusted Causal Inference

By: Michael Lindon, Dae Woong Ham, Martin Tingley and Iavor I. Bojinov
Linear regression adjustment is commonly used to analyze randomized controlled experiments due to its efficiency and robustness against model misspecification. Current testing and interval estimation procedures leverage the asymptotic distribution of such estimators to... View Details
Keywords: Mathematical Methods; Analytics and Data Science
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Lindon, Michael, Dae Woong Ham, Martin Tingley, and Iavor I. Bojinov. "Anytime-Valid Inference in Linear Models and Regression-Adjusted Causal Inference." Harvard Business School Working Paper, No. 24-060, March 2024.
  • 2023
  • Article

Verifiable Feature Attributions: A Bridge between Post Hoc Explainability and Inherent Interpretability

By: Usha Bhalla, Suraj Srinivas and Himabindu Lakkaraju
With the increased deployment of machine learning models in various real-world applications, researchers and practitioners alike have emphasized the need for explanations of model behaviour. To this end, two broad strategies have been outlined in prior literature to... View Details
Keywords: AI and Machine Learning; Mathematical Methods
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Bhalla, Usha, Suraj Srinivas, and Himabindu Lakkaraju. "Verifiable Feature Attributions: A Bridge between Post Hoc Explainability and Inherent Interpretability." Advances in Neural Information Processing Systems (NeurIPS) (2023).
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