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Show Results For
- All HBS Web
(2,720)
- People (4)
- News (529)
- Research (1,626)
- Events (16)
- Multimedia (19)
- Faculty Publications (985)
- Article
Asymptotic Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions
By: Daniel M. Kane and Scott Duke Kominers
For relatively prime positive integers and r, we consider the least common multiple L_n:=\mathop{\textrm{lcm}}(u_0,u_1,\dots, u_n) of the finite arithmetic progression \{u_k:=u_0+kr\}_{k=0}^n. We derive new lower bounds on L_n that improve upon those obtained... View Details
Keywords: Mathematical Methods
Kane, Daniel M., and Scott Duke Kominers. "Asymptotic Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions." Canadian Mathematical Bulletin 57, no. 3 (September 2014): 551–561.
- 27 Jan 2010
- News
Mixed Impressions: How We Judge Others on Multiple Levels
- 12 Feb 2015
- Talk
Multiple Team Membership, Turnover, & On-time Delivery: Evidence Construction Services
By: Hise O. Gibson, Bradley R. Staats and Ananth Raman
- 22 May 2008
- Working Paper Summaries
Testing Strategy with Multiple Performance Measures Evidence from a Balanced Scorecard at Store24
- July 16, 2016
- Article
A Game Theoretic Model for Resource Allocation Among Countermeasures with Multiple Attributes
By: Elisabeth C. Paulson, Igor Linkov and Jeffrey Keisler
We study a strategic, two-player, sequential game between an attacker and defender. The defender must allocate resources amongst possible countermeasures and across possible targets. The attacker then chooses a type of threat and a target to attack. This paper proposes... View Details
Paulson, Elisabeth C., Igor Linkov, and Jeffrey Keisler. "A Game Theoretic Model for Resource Allocation Among Countermeasures with Multiple Attributes." European Journal of Operational Research 252, no. 2 (July 16, 2016): 610–622.
- October 2022
- Article
Amplification in the Evaluation of Multiple Emotional Expressions over Time
By: Amit Goldenberg, Jonas Schöne, Zi Huang, Timothy D. Sweeny, Desmond C. Ong, Timothy Brady, Maria M. Robinson, David Levari, Jamil Zaki and James J. Gross
Social interactions are dynamic and unfold over time. To make sense of social interactions, people must aggregate sequential information into summary, global evaluations. But how do people do this? Here, to address this question, we conducted nine studies (N = 1,583)... View Details
Goldenberg, Amit, Jonas Schöne, Zi Huang, Timothy D. Sweeny, Desmond C. Ong, Timothy Brady, Maria M. Robinson, David Levari, Jamil Zaki, and James J. Gross. "Amplification in the Evaluation of Multiple Emotional Expressions over Time." Nature Human Behaviour 6, no. 10 (October 2022): 1408–1416.
- Nov 2014
- Conference Presentation
Multiple Team Membership, Turnover, & On-time Delivery: Evidence Construction Services.
By: Hise O. Gibson, Bradley R. Staats and Ananth Raman
- Apr 2015
- Conference Presentation
Multiple Team Membership, Turnover, & On-time Delivery: Evidence Construction Services
By: Hise O. Gibson, Bradley R. Staats and Ananth Raman
- February 2007
- Module Note
A Man for All Seasons Summary: Reasoning from Multiple Moralities
By: Sandra J. Sucher
A summary of the major themes discussed in the eight class of The Moral Leader (EC curriculum). View Details
Sucher, Sandra J. "A Man for All Seasons Summary: Reasoning from Multiple Moralities." Harvard Business School Module Note 607-072, February 2007.
- May–June 2017
- Article
Multiple Identity Configurations: The Benefits of Focused Enhancement for Prosocial Behavior
By: Lakshmi Ramarajan, Ida Berger and Itay Greenspan
Ramarajan, Lakshmi, Ida Berger, and Itay Greenspan. "Multiple Identity Configurations: The Benefits of Focused Enhancement for Prosocial Behavior." Organization Science 28, no. 3 (May–June 2017): 495–513.
- August 1980
- Article
An Activity Analysis Approach to Unit Costing with Multiple Interactive Products
By: Robert S. Kaplan and Hiroyuki Itami
Kaplan, Robert S., and Hiroyuki Itami. "An Activity Analysis Approach to Unit Costing with Multiple Interactive Products." Management Science 26, no. 8 (August 1980): 826–839.
- Article
Measurement of Multiple Sites in Service Firms with Data Envelopment Analysis
By: R. Metters, F. Frei and V. Vargas
Metters, R., F. Frei, and V. Vargas. "Measurement of Multiple Sites in Service Firms with Data Envelopment Analysis." Production and Operations Management 8, no. 3 (Fall 1999): 264–281.
- 1999
- Working Paper
Constellations and Careers: Toward Understanding the Effects of Multiple Developmental Relationships
By: Monica C. Higgins and David A. Thomas
- January 1997
- Article
The Effect of Multiple Anchors on Anchoring Individual and Group Judgment
By: James K. Sebenius and Glen Whyte
Sebenius, James K., and Glen Whyte. "The Effect of Multiple Anchors on Anchoring Individual and Group Judgment." Organizational Behavior and Human Decision Processes 69, no. 1 (January 1997): 75–85.
- 01 Dec 1999
- News
Big Doings in Big Apple: New York Club Hosts Multiple Events
In the city that never sleeps, the Harvard Business School Club of Greater New York is seldom at rest, as its busy schedule of activities in recent months indicates. Last May, for example, with more than four hundred people in attendance at its International Dinner,... View Details
- May 2001
- Article
Constellations and Careers: Toward Understanding the Effects of Multiple Developmental Relationships
By: M. C. Higgins and D. A. Thomas
Higgins, M. C., and D. A. Thomas. "Constellations and Careers: Toward Understanding the Effects of Multiple Developmental Relationships." Journal of Organizational Behavior 22, no. 3 (May 2001).
- Oct 2018
- Conference Presentation
Multiple Team Membership, Turnover, & On-Time Delivery: Evidence from Construction Services
By: Hise O. Gibson, B. Staats and Ananth Raman
Gibson, Hise O., B. Staats, and Ananth Raman. "Multiple Team Membership, Turnover, & On-Time Delivery: Evidence from Construction Services." Paper presented at the International Annual Conference of the American Society for Engineering Management (ASEM), Coeur d'Alene, ID, October 2018.
- October 2014 (Revised October 2014)
- Case
Valuation Ratios in the Airline Industry, 2013
By: Paul M. Healy and Penelope Rossano
Examines factors underlying differences in valuation multiples (price-to-earnings and price-to-book) across four firms in the airline industry. View Details
Healy, Paul M., and Penelope Rossano. "Valuation Ratios in the Airline Industry, 2013." Harvard Business School Case 115-013, October 2014. (Revised October 2014.)
- July – August 2011
- Article
Managing the Multiple Dimensions of Risk: Part I of a Two-Part Series
By: Robert S. Kaplan and Anette Mikes
Kaplan, Robert S., and Anette Mikes. "Managing the Multiple Dimensions of Risk: Part I of a Two-Part Series." Balanced Scorecard Report 13, no. 4 (July–August 2011).
- 2025
- Working Paper
Dynamic Personalization with Multiple Customer Signals: Multi-Response State Representation in Reinforcement Learning
Reinforcement learning (RL) offers potential for optimizing sequences of customer interactions by modeling the relationships
between customer states, company actions, and long-term value. However, its practical implementation often faces significant
challenges.... View Details
Keywords: Dynamic Policy; Deep Reinforcement Learning; Representation Learning; Dynamic Difficulty Adjustment; Latent Variable Models; Customer Relationship Management; Customer Value and Value Chain; Foreign Direct Investment; Analytics and Data Science
Ma, Liangzong, Ta-Wei Huang, Eva Ascarza, and Ayelet Israeli. "Dynamic Personalization with Multiple Customer Signals: Multi-Response State Representation in Reinforcement Learning." Harvard Business School Working Paper, No. 25-037, February 2025.