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- All HBS Web (617)
- Faculty Publications (567)
Show Results For
- All HBS Web (617)
- Faculty Publications (567)
- 2002
- Chapter
Future Possibilities in Finance Theory and Finance Practice
By: Robert C. Merton
Merton, Robert C. "Future Possibilities in Finance Theory and Finance Practice." In Mathematical Finance - Bachelier Congress 2000, edited by H. Geman, D. Madan, S. Pliska, and T. Vorst. Berlin: Springer-Verlag, 2002. (Was HBS Working Paper 01-030.)
- September 1976 (Revised June 1977)
- Background Note
Assessing Certainty Equivalents by Assessing Preference for Consequences
By: Paul A. Vatter
Vatter, Paul A. "Assessing Certainty Equivalents by Assessing Preference for Consequences." Harvard Business School Background Note 177-038, September 1976. (Revised June 1977.)
- 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.
- 1969
- Other Unpublished Work
An Empirical Investigation of the Samuelson Rational Warrant Pricing Theory
By: Robert C. Merton
- November 1977
- Article
On the Pricing of Contingent Claims and the Modigliani-Miller Theorem
By: Robert C. Merton
Merton, Robert C. "On the Pricing of Contingent Claims and the Modigliani-Miller Theorem." Journal of Financial Economics 5 (November 1977): 241–249. (Chapter 13 in Continuous-Time Finance.)
- August 1970
- Case
Hawthorne Plastics
An "imperfect tester" problem involving the decision of how to produce batches of plastic strapping, given uncertainty about the length of the molecular chain in the raw material. A decision on whether to test the raw material and a choice of production process must be... View Details
Hammond, John S. "Hawthorne Plastics." Harvard Business School Case 171-004, August 1970.
- 2021
- Article
Fair Algorithms for Infinite and Contextual Bandits
By: Matthew Joseph, Michael J Kearns, Jamie Morgenstern, Seth Neel and Aaron Leon Roth
We study fairness in linear bandit problems. Starting from the notion of meritocratic fairness introduced in Joseph et al. [2016], we carry out a more refined analysis of a more general problem, achieving better performance guarantees with fewer modelling assumptions... View Details
Joseph, Matthew, Michael J Kearns, Jamie Morgenstern, Seth Neel, and Aaron Leon Roth. "Fair Algorithms for Infinite and Contextual Bandits." Proceedings of the AAAI/ACM Conference on Artificial Intelligence, Ethics, and Society 4th (2021).
- Other Unpublished Work
The Role of Inventory in Empowered Work Settings: Model and Empirical Analysis
By: S. Datar, M. Alles and R. Sarkar
- 1987
- Chapter
Money in the Utility Function: An Empirical Implementation
By: Julio J. Rotemberg and James Poterba
Rotemberg, Julio J., and James Poterba. "Money in the Utility Function: An Empirical Implementation." In New Approaches to Monetary Economics, edited by W. Barnett and K. Singleton, 219–240. Cambridge University Press, 1987.
- Article
Scale Economies in Statistical Analyses of Market Power
By: R. E. Caves, J. Khalizadeh-Shirazi and M. E. Porter
Caves, R. E., J. Khalizadeh-Shirazi, and M. E. Porter. "Scale Economies in Statistical Analyses of Market Power." Review of Economics and Statistics 57, no. 2 (May 1975): 133–140.
- 1976
- Other Unpublished Work
Simulation of the Market Effects of Housing Allowance
By: Dutch Leonard, Gregory K. Ingram and Robert Schafer
- 1970
- Dissertation
Analytical Optimal Control Theory as Applied to Stochastic and Non-Stochastic Economics
By: Robert C. Merton
Merton, Robert C. "Analytical Optimal Control Theory as Applied to Stochastic and Non-Stochastic Economics." Diss., Massachusetts Institute of Technology (MIT), 1970.
- January 2018
- Background Note
Math Tools for Strategists
By: Tarun Khanna and Jan W. Rivkin
Great strategists rely heavily on numbers as they go about their work. This note offers an overview of the highbrow and lowbrow quantitative tools that individuals commonly encounter during strategy courses and in actual strategy work. The note focuses especially on... View Details
Khanna, Tarun, and Jan W. Rivkin. "Math Tools for Strategists." Harvard Business School Background Note 718-477, January 2018.
- December 1998
- Background Note
Note on Low-Tech Marketing Math
By: Robert J. Dolan
Describes basic calculations useful in marketing analysis, break-even analysis, and price-volume relationships. View Details
Dolan, Robert J. "Note on Low-Tech Marketing Math." Harvard Business School Background Note 599-011, December 1998.
- Article
Beyond Individualized Recourse: Interpretable and Interactive Summaries of Actionable Recourses
By: Kaivalya Rawal and Himabindu Lakkaraju
As predictive models are increasingly being deployed in high-stakes decision-making, there has been a lot of interest in developing algorithms which can provide recourses to affected individuals. While developing such tools is important, it is even more critical to... View Details
Rawal, Kaivalya, and Himabindu Lakkaraju. "Beyond Individualized Recourse: Interpretable and Interactive Summaries of Actionable Recourses." Advances in Neural Information Processing Systems (NeurIPS) 33 (2020).
- September 2019
- Article
Optimizing Reserves in School Choice: A Dynamic Programming Approach
By: Franklyn Wang, Ravi Jagadeesan and Scott Duke Kominers
We introduce a new model of school choice with reserves in which a social planner is constrained by a limited supply of reserve seats and tries to find an optimal matching according to a social welfare function. We construct the optimal distribution of reserves via a... View Details
Wang, Franklyn, Ravi Jagadeesan, and Scott Duke Kominers. "Optimizing Reserves in School Choice: A Dynamic Programming Approach." Operations Research Letters 47, no. 5 (September 2019): 438–446.