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Show Results For
- All HBS Web
(5,286)
- People (41)
- News (1,112)
- Research (2,972)
- Events (20)
- Multimedia (208)
- Faculty Publications (1,513)
- March 2010
- Article
Further Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions
By: Shaofang Hong and Scott Duke Kominers
For relatively prime positive integers u_0 and r, we consider the arithmetic progression {u_k := u_0+k*r} (0 <= k <= n). Define L_n := lcm{u_0,u_1,...,u_n} and let a >= 2 be any integer. In this paper, we show that, for integers alpha,r >= a and n >=... View Details
Keywords: Mathematical Methods
Hong, Shaofang, and Scott Duke Kominers. "Further Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions." Proceedings of the American Mathematical Society 138, no. 3 (March 2010): 809–813.
- March 2004
- Teaching Note
Variance Analysis Tutorial (Instructor Guide)
By: David F. Hawkins
Instructor Guide to (9-104-709). View Details
Keywords: Mathematical Methods
- October 1979 (Revised March 1995)
- Background Note
Note on the Management of Queues
Contains four sections: 1) measuring the performance of queuing systems; 2) types of queuing systems; 3) the behavior of simple systems (elementary queuing theory); and 4) the management of queues (including a discussion of their psychology). View Details
Keywords: Mathematical Methods
Maister, David H. "Note on the Management of Queues." Harvard Business School Background Note 680-053, October 1979. (Revised March 1995.)
- 19 Oct 2017
- Working Paper Summaries
Games of Threats
- Web
From Inquiry to Action | Baker Library
lines. Teaching & The Case Method HBS cases average 10 to 20 pages of text followed by supporting exhibits of tables and illustrations. Students break into small groups to... View Details
- 22 Jul 2024
- News
Viral Marketing’s Early Muse
case for an article in the September 2010 issue. “We were able to track the way social media foreshadowed mainstream media and document how, in those days, nothing went really big until mainstream media amplified it. “Today, things are so... View Details
- 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
- Article
Preventing Fairness Gerrymandering: Auditing and Learning for Subgroup Fairness
By: Michael J Kearns, Seth Neel, Aaron Leon Roth and Zhiwei Steven Wu
The most prevalent notions of fairness in machine learning are statistical definitions: they fix a small collection of pre-defined groups, and then ask for parity of some statistic of the classifier (like classification rate or false positive rate) across these groups.... View Details
Kearns, Michael J., Seth Neel, Aaron Leon Roth, and Zhiwei Steven Wu. "Preventing Fairness Gerrymandering: Auditing and Learning for Subgroup Fairness." Proceedings of the International Conference on Machine Learning (ICML) 35th (2018).
- 2020
- Working Paper
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." Harvard Business School Working Paper, No. 21-034, September 2020.
- January 1982
- Background Note
Sharing Costs: Internal Telephone Billing Rates
By: Elon Kohlberg
Kohlberg, Elon. "Sharing Costs: Internal Telephone Billing Rates." Harvard Business School Background Note 182-109, January 1982.
- 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.)
- Article
Games of Threats
By: Elon Kohlberg and Abraham Neyman
A game of threats on a finite set of players, N, is a function d that assigns a real number to any coalition, S ⊆ N, such that d(S) = -d(N\S). A game of threats is not necessarily a coalitional game as it may fail to satisfy the condition d(Ø) = 0. We show that analogs... View Details
Kohlberg, Elon, and Abraham Neyman. "Games of Threats." Games and Economic Behavior 108 (March 2018): 139–145.
- Article
The Effects of the Change in the NRMP Matching Algorithm
By: A. E. Roth and Elliott Peranson
Roth, A. E., and Elliott Peranson. "The Effects of the Change in the NRMP Matching Algorithm." JAMA, the Journal of the American Medical Association 278, no. 9 (September 3, 1997): 729–732.
- 01 Mar 2025
- News
On The Case: The Base Factor
In her research as a marketing modeler, Professor Eva Ascarza focuses on understanding customers—and predicting, in particular, who will be a good one and how best to retain them. Without customers, obviously, there is no business. That could also be the tagline for... View Details
Keywords: Jen McFarland Flint
- 01 Dec 2013
- News
To Market, to Market
and other tasks necessary to determine the best route for product commercialization. "By increasing the collaborative efforts between HBS and Harvard's scientific community, we will empower the next generation of life science entrepreneurs and provide a further... View Details