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  • All HBS Web  (1,959)
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    • News  (215)
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  • Article

A Prescriptive Analytics Framework for Optimal Policy Deployment Using Heterogeneous Treatment Effects

By: Edward McFowland III, Sandeep Gangarapu, Ravi Bapna and Tianshu Sun
We define a prescriptive analytics framework that addresses the needs of a constrained decision-maker facing, ex ante, unknown costs and benefits of multiple policy levers. The framework is general in nature and can be deployed in any utility maximizing context, public... View Details
Keywords: Prescriptive Analytics; Heterogeneous Treatment Effects; Optimization; Observed Rank Utility Condition (OUR); Between-treatment Heterogeneity; Machine Learning; Decision Making; Analysis; Mathematical Methods
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McFowland III, Edward, Sandeep Gangarapu, Ravi Bapna, and Tianshu Sun. "A Prescriptive Analytics Framework for Optimal Policy Deployment Using Heterogeneous Treatment Effects." MIS Quarterly 45, no. 4 (December 2021): 1807–1832.
  • 1995
  • Chapter

Dynamic General Equilibrium Models with Imperfectly Competitive Product Markets

By: Julio J. Rotemberg and Michael Woodford
Keywords: Mathematical Methods; Competition; Markets
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Rotemberg, Julio J., and Michael Woodford. "Dynamic General Equilibrium Models with Imperfectly Competitive Product Markets." In Frontiers of Business Cycle Research, edited by Thomas Cooley. Princeton, NJ: Princeton University Press, 1995.
  • December 2019
  • Article

Costly Concessions: An Empirical Framework for Matching with Imperfectly Transferable Utility

By: Alfred Galichon, Scott Duke Kominers and Simon Weber
We introduce an empirical framework for models of matching with imperfectly transferable utility and unobserved heterogeneity in tastes. Our framework allows us to characterize matching equilibrium in a flexible way that includes as special cases the classic fully- and... View Details
Keywords: Sorting; Matching; Marriage Market; Intrahousehold Allocation; Imperfectly Transferable Utility; Marketplace Matching; Mathematical Methods
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Galichon, Alfred, Scott Duke Kominers, and Simon Weber. "Costly Concessions: An Empirical Framework for Matching with Imperfectly Transferable Utility." Journal of Political Economy 127, no. 6 (December 2019): 2875–2925.
  • 2005
  • Chapter

A Revised Model of the Resource Allocation Process

By: J. L. Bower and Clark Gilbert
Keywords: Resource Allocation; Mathematical Methods
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Bower, J. L., and Clark Gilbert. "A Revised Model of the Resource Allocation Process." In From Resource Allocation to Strategy, edited by Joseph L. Bower and Clark Gilbert. U.K.: Oxford University Press, 2005.
  • 2005
  • Chapter

Anomaly Seeking Research: Thirty Years of Development in Resource Allocation Theory

By: Clark Gilbert and Clayton M. Christensen
Keywords: Resource Allocation; Mathematical Methods
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Gilbert, Clark, and Clayton M. Christensen. "Anomaly Seeking Research: Thirty Years of Development in Resource Allocation Theory." In From Resource Allocation to Strategy, edited by Joseph L. Bower and Clark Gilbert. U.K.: Oxford University Press, 2005.
  • November 1977
  • Article

On the Pricing of Contingent Claims and the Modigliani-Miller Theorem

By: Robert C. Merton
Keywords: Price; Mathematical Methods
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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
Keywords: Decision Making; Mathematical Methods
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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
Keywords: Algorithms; Bandit Problems; Fairness; Mathematical Methods
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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
Keywords: Logistics; Mathematical Methods
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Datar, S., M. Alles, and R. Sarkar. "The Role of Inventory in Empowered Work Settings: Model and Empirical Analysis."
  • 1987
  • Chapter

Money in the Utility Function: An Empirical Implementation

By: Julio J. Rotemberg and James Poterba
Keywords: Money; Mathematical Methods
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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
Keywords: Economics; Mathematical Methods; Markets
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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
Keywords: Housing; Markets; Mathematical Methods
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Leonard, Dutch, Gregory K. Ingram, and Robert Schafer. "Simulation of the Market Effects of Housing Allowance." National Bureau of Economic Research, New York, January 1976.
  • 20 Nov 2006
  • Research & Ideas

Open Source Science: A New Model for Innovation

scientific problem solving? Yes, and it comes from an unexpected and unrelated corner of the universe: open source software development. That's the view of Karim R. Lakhani, an assistant professor at Harvard Business School with an extensive View Details
Keywords: by Martha Lagace
  • 2021
  • Conference Presentation

An Algorithmic Framework for Fairness Elicitation

By: Christopher Jung, Michael J. Kearns, Seth Neel, Aaron Leon Roth, Logan Stapleton and Zhiwei Steven Wu
We consider settings in which the right notion of fairness is not captured by simple mathematical definitions (such as equality of error rates across groups), but might be more complex and nuanced and thus require elicitation from individual or collective stakeholders.... View Details
Keywords: Algorithmic Fairness; Machine Learning; Fairness; Framework; Mathematical Methods
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Jung, Christopher, Michael J. Kearns, Seth Neel, Aaron Leon Roth, Logan Stapleton, and Zhiwei Steven Wu. "An Algorithmic Framework for Fairness Elicitation." Paper presented at the 2nd Symposium on Foundations of Responsible Computing (FORC), 2021.
  • March 1992 (Revised June 1992)
  • Background Note

Strategic Industry Model: Emergent Technologies

By: Robert J. Dolan
Describes computer model and output from conjoint analysis and perceptual mapping for product line planning. View Details
Keywords: Mathematical Methods; Product Marketing
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Dolan, Robert J. "Strategic Industry Model: Emergent Technologies." Harvard Business School Background Note 592-086, March 1992. (Revised June 1992.)
  • 2024
  • Article

A Universal In-Place Reconfiguration Algorithm for Sliding Cube-Shaped Robots in Quadratic Time

By: Zachary Abel, Hugo A. Akitaya, Scott Duke Kominers, Matias Korman and Frederick Stock
In the modular robot reconfiguration problem we are given n cube-shaped modules (or "robots") as well as two configurations, i.e., placements of the n modules so that their union is face-connected. The goal is to find a sequence of moves that reconfigures the modules... View Details
Keywords: Robots; Mathematical Methods
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Abel, Zachary, Hugo A. Akitaya, Scott Duke Kominers, Matias Korman, and Frederick Stock. "A Universal In-Place Reconfiguration Algorithm for Sliding Cube-Shaped Robots in Quadratic Time." Proceedings of the International Symposium on Computational Geometry (SoCG) 40th (2024): 1:1–1:14.
  • Mar 2020
  • Conference Presentation

A New Analysis of Differential Privacy's Generalization Guarantees

By: Christopher Jung, Katrina Ligett, Seth Neel, Aaron Roth, Saeed Sharifi-Malvajerdi and Moshe Shenfeld
We give a new proof of the "transfer theorem" underlying adaptive data analysis: that any mechanism for answering adaptively chosen statistical queries that is differentially private and sample-accurate is also accurate out-of-sample. Our new proof is elementary and... View Details
Keywords: Machine Learning; Transfer Theorem; Mathematical Methods
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Jung, Christopher, Katrina Ligett, Seth Neel, Aaron Roth, Saeed Sharifi-Malvajerdi, and Moshe Shenfeld. "A New Analysis of Differential Privacy's Generalization Guarantees." Paper presented at the 11th Innovations in Theoretical Computer Science Conference, Seattle, March 2020.
  • Article

Active World Model Learning with Progress Curiosity

By: Kuno Kim, Megumi Sano, Julian De Freitas, Nick Haber and Daniel Yamins
World models are self-supervised predictive models of how the world evolves. Humans learn world models by curiously exploring their environment, in the process acquiring compact abstractions of high bandwidth sensory inputs, the ability to plan across long temporal... View Details
Keywords: World Models; Mathematical Methods
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Kim, Kuno, Megumi Sano, Julian De Freitas, Nick Haber, and Daniel Yamins. "Active World Model Learning with Progress Curiosity." Proceedings of the International Conference on Machine Learning (ICML) 37th (2020).
  • Article

Matching in Networks with Bilateral Contracts: Corrigendum

By: John William Hatfield, Ravi Jagadeesan and Scott Duke Kominers
Hatfield and Kominers (2012) introduced a model of matching in networks with bilateral contracts and showed that stable outcomes exist in supply chains when firms' preferences over contracts are fully substitutable. Hatfield and Kominers (2012) also asserted that in... View Details
Keywords: Matching With Contracts; Substitutability; Mathematical Methods
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Hatfield, John William, Ravi Jagadeesan, and Scott Duke Kominers. "Matching in Networks with Bilateral Contracts: Corrigendum." American Economic Journal: Microeconomics 12, no. 3 (August 2020): 277–285.
  • 2015
  • Working Paper

Configurations of Extremal Type II Codes

By: Noam D. Elkies and Scott Duke Kominers
We prove configuration results for extremal Type II codes, analogous to the configuration results of Ozeki and of the second author for extremal Type II lattices. Specifically, we show that for n∈{8,24,32,48,56,72,96} every extremal Type II code of length n is... View Details
Keywords: Mathematical Methods
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Elkies, Noam D., and Scott Duke Kominers. "Configurations of Extremal Type II Codes." Working Paper, March 2015.
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