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Show Results For
- All HBS Web
(838)
- News (79)
- Research (640)
- Events (14)
- Multimedia (4)
- Faculty Publications (632)
- 04 Feb 2010
- What Do You Think?
What’s the Best Way to Make Careful Decisions?
for a more careful approach, suggesting that we place too much emphasis on intuition and personal experience as opposed to the "wisdom of crowds," mathematical models, and systematically-collected data. He argues that... View Details
Keywords: by James Heskett
- September 2010 (Revised January 2012)
- Case
OPOWER: Increasing Energy Efficiency through Normative Influence (A)
By: Amy J.C. Cuddy, Kyle Todd Doherty and Maarten W. Bos
The case profiles OPOWER, an energy efficiency software company that applies Cialdini's principles of social influence to successfully encourage consumers to reduce their energy usage. OPOWER was co-founded in 2008 by two young Harvard graduates, Dan Yates and Alex... View Details
Keywords: Mathematical Methods; Applications and Software; Attitudes; Entrepreneurship; Energy Conservation; Power and Influence; Growth and Development Strategy; Energy Industry; United States
Cuddy, Amy J.C., Kyle Todd Doherty, and Maarten W. Bos. "OPOWER: Increasing Energy Efficiency through Normative Influence (A)." Harvard Business School Case 911-016, September 2010. (Revised January 2012.)
- Web
Frequently Asked Questions | HBS Online
other graduate program, or professionals seeking data literacy. Data Science Principles introduces key concepts in data science—such as prediction, causality, visualization, data wrangling, privacy, and ethics—but does so without coding or View Details
- 17 Dec 2007
- Research & Ideas
The Rise of Medical Tourism
the U.S. medical profession are still large. In India, the same depth of pool of engineering and mathematical talent for software, offshoring, and outsourcing is there for medicine, too. In the 1950s and '60s, the Indian government... View Details
- September 2010 (Revised December 2010)
- Case
Compass Maritime Services, LLC: Valuing Ships
By: Benjamin C. Esty and Albert W. Sheen
Tom Roberts, a founding partner of Compass Maritime Services, a New Jersey-based shipping research and consulting firm, has been asked by a new potential customer in May 2008 for advice on purchasing a capesize bulk carrier. After identifying a suitable ship with his... View Details
Keywords: Decision Choices and Conditions; Judgments; Price; Management Analysis, Tools, and Techniques; Negotiation Offer; Mathematical Methods; Ship Transportation; Valuation; Consulting Industry; Shipping Industry
Esty, Benjamin C., and Albert W. Sheen. "Compass Maritime Services, LLC: Valuing Ships." Harvard Business School Case 211-014, September 2010. (Revised December 2010.)
- 30 Jun 2021
- In Practice
The Harvard Business School Faculty Summer Reader 2021
What’s on HBS faculty members’ reading list for summer 2021? Which books are most meaningful to them and why? Below, faculty share their top picks, ranging from biographies and memoirs to their colleagues’ latest works. Julia Austin: Social justice and the Obamas I... View Details
Keywords: by Kathryn Haviland
- 03 May 2010
- Research & Ideas
What Is the Future of MBA Education?
situations into mathematical models. The percentage of MBAs that we hire will go down in the next ten years. A director of a leading consulting firm made much the same point: We now hire a very large number of non-MBAs into our Associate... View Details
- Student-Profile
Sagar Saxena
While applying for graduate programs, Sagar Saxena (he/him) was unsure about whether he had the right background to pursue a PhD in Business Economics at HBS because he had not taken graduate-level courses in mathematics or economics.... View Details
- Web
Introduction - Option Pricing in Theory & Practice: The Nobel Prize Research of Robert C. Merton - Exhibits - Historical Collections
more than twenty-five years ago to the impact and growth of his groundbreaking work in the current academic and financial communities. The Black-Scholes option pricing model established the everyday use of mathematical models as essential... View Details
- 03 Aug 2015
- Research & Ideas
Why Fierce Competitors Apple and Amazon Became ’Frenemies’ Over eReaders
researchers use a complex mathematical model to get to the bottom of just why enemies might decide to share a locker. It boils down to a difference in how they make their money. "Even though both [companies] make money from hardware and... View Details
- 1972
- Chapter
Random Walks and Technical Theories: Some Additional Evidence
By: George A. Benington and Michael C. Jensen
Keywords: Mathematical Methods
Benington, George A., and Michael C. Jensen. "Random Walks and Technical Theories: Some Additional Evidence." In Security Evaluation and Portfolio Analysis, edited by E. Elton and M. Gruber. Prentice Hall, 1972. (Also published in Journal of Finance (May 1970) and Investment Management: Some Readings, J. Lorie and R. Brealey, Editors (Praeger Publishers, 1972).)
- 1979
- Article
An Extension and Simple Proof of a Constrained Lattice Fix-Point Theorem
By: C. Blair and A. E. Roth
Keywords: Mathematical Methods
Blair, C., and A. E. Roth. "An Extension and Simple Proof of a Constrained Lattice Fix-Point Theorem." Algebra Universalis 9 (1979): 131–132.
- January 1975
- Article
A Lattice Fixed-Point Theorem with Constraints
By: A. E. Roth
Keywords: Mathematical Methods
Roth, A. E. "A Lattice Fixed-Point Theorem with Constraints." Bulletin of the American Mathematical Society 81 (January 1975): 136–138.
- September–October 2023
- Article
Interpretable Matrix Completion: A Discrete Optimization Approach
By: Dimitris Bertsimas and Michael Lingzhi Li
We consider the problem of matrix completion on an n × m matrix. We introduce the problem of interpretable matrix completion that aims to provide meaningful insights for the low-rank matrix using side information. We show that the problem can be... View Details
Keywords: Mathematical Methods
Bertsimas, Dimitris, and Michael Lingzhi Li. "Interpretable Matrix Completion: A Discrete Optimization Approach." INFORMS Journal on Computing 35, no. 5 (September–October 2023): 952–965.
- 2022
- Article
Exploring Counterfactual Explanations Through the Lens of Adversarial Examples: A Theoretical and Empirical Analysis.
By: Martin Pawelczyk, Chirag Agarwal, Shalmali Joshi, Sohini Upadhyay and Himabindu Lakkaraju
As machine learning (ML) models become more widely deployed in high-stakes applications, counterfactual explanations have emerged as key tools for providing actionable model explanations in practice. Despite the growing popularity of counterfactual explanations, a... View Details
Keywords: Machine Learning Models; Counterfactual Explanations; Adversarial Examples; Mathematical Methods
Pawelczyk, Martin, Chirag Agarwal, Shalmali Joshi, Sohini Upadhyay, and Himabindu Lakkaraju. "Exploring Counterfactual Explanations Through the Lens of Adversarial Examples: A Theoretical and Empirical Analysis." Proceedings of the International Conference on Artificial Intelligence and Statistics (AISTATS) 25th (2022).
- November 2021
- Article
Panel Experiments and Dynamic Causal Effects: A Finite Population Perspective
By: Iavor Bojinov, Ashesh Rambachan and Neil Shephard
In panel experiments, we randomly assign units to different interventions, measuring their outcomes, and repeating the procedure in several periods. Using the potential outcomes framework, we define finite population dynamic causal effects that capture the relative... View Details
Keywords: Panel Data; Dynamic Causal Effects; Potential Outcomes; Finite Population; Nonparametric; Mathematical Methods
Bojinov, Iavor, Ashesh Rambachan, and Neil Shephard. "Panel Experiments and Dynamic Causal Effects: A Finite Population Perspective." Quantitative Economics 12, no. 4 (November 2021): 1171–1196.
- 2018
- Working Paper
Bundling Incentives in (Many-to-Many) Matching with Contracts
By: Jonathan Ma and Scott Duke Kominers
In many-to-many matching with contracts, the way in which contracts are specified can affect the set of stable equilibrium outcomes. Consequently, agents may be incentivized to modify the set of contracts upfront. We consider one simple way in which agents may do so:... View Details
Keywords: Matching With Contracts; Contract Design; Bundling-proofness; Substitutability; Mathematical Methods
Ma, Jonathan, and Scott Duke Kominers. "Bundling Incentives in (Many-to-Many) Matching with Contracts." Harvard Business School Working Paper, No. 19-011, August 2018.
- 2011
- Chapter
Fundamental Data Anomalies
By: Ian D. Gow
Gow, Ian D. "Fundamental Data Anomalies." Chap. 5 in The Handbook of Equity Market Anomalies: Translating Market Inefficiencies into Effective Investment Strategies, edited by Len Zacks, 117–128. John Wiley & Sons, 2011.
- November 1990 (Revised November 1992)
- Background Note
Note on Linear Programming
Gives an elementary introduction to formulating linear programming models and interpreting linear programmings output. Other aspects of linear programming are discussed briefly. View Details
Keywords: Mathematical Methods
Eckstein, Jonathan. "Note on Linear Programming." Harvard Business School Background Note 191-085, November 1990. (Revised November 1992.)
- August 2005 (Revised April 2008)
- Teaching Note
GuestFirst Hotel (A): Statistics Review with Data Desk (TN)
By: Frances X. Frei
Presents an overview of the statistical analysis covered in the case discussion. View Details
Keywords: Mathematical Methods