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Publications

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  • All HBS Web  (839)
    • News  (79)
    • Research  (641)
    • Events  (14)
    • Multimedia  (4)
  • Faculty Publications  (635)

Show Results For

  • All HBS Web  (839)
    • News  (79)
    • Research  (641)
    • Events  (14)
    • Multimedia  (4)
  • Faculty Publications  (635)
← Page 23 of 839 Results →
  • July 1990
  • Background Note

Perceptual Mapping: A Manager's Guide

By: Robert J. Dolan
Describes the perceptual mapping technique in a non-technical fashion. The procedure is useful for the depiction of the structure of the market. Discusses alternative methods, presents examples of each, and shows how the maps can be used in marketing decision making. View Details
Keywords: Mathematical Methods; Industry Structures; Marketing
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Dolan, Robert J. "Perceptual Mapping: A Manager's Guide." Harvard Business School Background Note 590-121, July 1990.
  • 1999
  • Other Unpublished Work

Estimating Industry Multiples

By: Malcolm Baker and R. S. Ruback
We analyze industry multiples for the S&P 500 in 1995. We use Gibbs sampling to estimate simultaneously the error specification and small sample minimum variance multiples for 22 industries. In addition, we consider the performance of four common multiples: the simple... View Details
Keywords: Management Analysis, Tools, and Techniques; Performance; Mathematical Methods
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Baker, Malcolm, and R. S. Ruback. "Estimating Industry Multiples." 1999.
  • Profile

Mike Watitwa

to good schools, some of which were well beyond his means. He also had an unrivalled work ethic. He would wake up early in the morning and till the farm for about an hour before preparing to go to the nearby high school where he was a View Details
  • 01 Jun 2017
  • News

Ask the Expert: On the Fly

(above: photo by Getty Images/Patrick Foto) A mathematics major, Don Carty (MBA 1971) has always seen the airline business as a huge puzzle, with the equation involving inventory and pricing, cruising allocations, weather, and holiday... View Details
Keywords: Julia Hanna
  • 18 Sep 2019
  • Working Paper Summaries

Using Models to Persuade

Keywords: by Joshua Schwartzstein and Adi Sunderam
  • September 1993 (Revised August 2011)
  • Exercise

ExtendSim® Simulation Exercises in Process Analysis (A)

By: Roy D. Shapiro
First set of exercises meant to be used with ExtendSim, a simulation system created by Imagine That, Inc. of San Jose, California. These exercises allow students to investigate the impact of variable processing times on the performance of simple in-line processes.... View Details
Keywords: Operations; Business Processes; Performance; Mathematical Methods
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Shapiro, Roy D. "ExtendSim® Simulation Exercises in Process Analysis (A)." Harvard Business School Exercise 694-039, September 1993. (Revised August 2011.)
  • 1 Dec 1998
  • Conference Presentation

An Introduction to Mixed Models in SAS

By: William B. Simpson
Keywords: Applications and Software; Mathematical Methods
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Simpson, William B. "An Introduction to Mixed Models in SAS." Boston Area SAS Users Group, Boston, MA, December 1, 1998.
  • 01 Oct 1999
  • News

Eight Among Many: Nancy J. Karch

Nancy Karch admits that when she arrived at Soldiers Field she had "almost no understanding of business." While pursuing a doctorate in mathematics at Northeastern University, she "stumbled upon the idea of business school" when she... View Details
Keywords: Susan Young
  • 01 Sep 2009
  • News

Of Value and Values

of investment management. “I think that vote captured a powerful tension inside the students,” she remarks. “They have plenty of mathematical and financial models to support the point of view that restricting the size of an ‘investable... View Details
Keywords: Julia Hanna; Colleges, Universities, and Professional Schools; Educational Services; Finance; Corporate, Subsidiary, and Regional Managing Offices; Management
  • February 2021
  • Article

A Dynamic Theory of Multiple Borrowing

By: Daniel Green and Ernest Liu
Multiple borrowing—a borrower obtains overlapping loans from multiple lenders—is a common phenomenon in many credit markets. We build a highly tractable, dynamic model of multiple borrowing and show that, because overlapping creditors may impose default externalities... View Details
Keywords: Commitment; Multiple Borrowing; Common Agency; Misallocation; Microfinance; Investment; Mathematical Methods
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Green, Daniel, and Ernest Liu. "A Dynamic Theory of Multiple Borrowing." Journal of Financial Economics 139, no. 2 (February 2021): 389–404.
  • Article

Who Will Vote Quadratically? Voter Turnout and Votes Cast Under Quadratic Voting

By: Louis Kaplow and Scott Duke Kominers
Who will vote quadratically in large-N elections under quadratic voting (QV)? First, who will vote? Although the core QV literature assumes that everyone votes, turnout is endogenous. Drawing on other work, we consider the representativeness of endogenously... View Details
Keywords: Voting Turnout; Paradox Of Voting; Quadratic Voting; Pivotality; Elections; Voting; Political Elections; Mathematical Methods
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Kaplow, Louis, and Scott Duke Kominers. "Who Will Vote Quadratically? Voter Turnout and Votes Cast Under Quadratic Voting." Special Issue on Quadratic Voting and the Public Good. Public Choice 172, nos. 1-2 (July 2017): 125–149.
  • May 2000
  • Article

Maxmin Expected Utility over Savage Acts with a Set of Priors

By: Ramon Casadesus-Masanell, Peter Klibanoff and Emre Ozdenoren
This paper provides an axiomatic foundation for a maxmin expected utility over a set of priors (MMEU) decision rule in an environment where the elements of choice are Savage acts. This characterization complements the original axiomatizations of MMEU developed in a... View Details
Keywords: Uncertainty Aversion; Ambiguity; Expected Utility; Set Of Priors; Knightian Uncertainty; Decision Making; Game Theory; Risk and Uncertainty; Mathematical Methods
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Casadesus-Masanell, Ramon, Peter Klibanoff, and Emre Ozdenoren. "Maxmin Expected Utility over Savage Acts with a Set of Priors." Journal of Economic Theory 92, no. 1 (May 2000): 35–65.
  • 1992
  • Chapter

Thinking Coalitionally: Party Arithmetic, Process Opportunism, and Strategic Sequencing

By: James K. Sebenius and David Lax
Keywords: Alliances; Negotiation Process; Mathematical Methods; Strategy
Citation
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Sebenius, James K., and David Lax. "Thinking Coalitionally: Party Arithmetic, Process Opportunism, and Strategic Sequencing." In Negotiation Analysis, edited by H. Peyton Young, 153–193. Ann Arbor, MI: University of Michigan Press, 1992.
  • 2024
  • Working Paper

Anytime-Valid Inference in Linear Models and Regression-Adjusted Causal Inference

By: Michael Lindon, Dae Woong Ham, Martin Tingley and Iavor I. Bojinov
Linear regression adjustment is commonly used to analyze randomized controlled experiments due to its efficiency and robustness against model misspecification. Current testing and interval estimation procedures leverage the asymptotic distribution of such estimators to... View Details
Keywords: Mathematical Methods; Analytics and Data Science
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Lindon, Michael, Dae Woong Ham, Martin Tingley, and Iavor I. Bojinov. "Anytime-Valid Inference in Linear Models and Regression-Adjusted Causal Inference." Harvard Business School Working Paper, No. 24-060, March 2024.
  • 2023
  • Article

Verifiable Feature Attributions: A Bridge between Post Hoc Explainability and Inherent Interpretability

By: Usha Bhalla, Suraj Srinivas and Himabindu Lakkaraju
With the increased deployment of machine learning models in various real-world applications, researchers and practitioners alike have emphasized the need for explanations of model behaviour. To this end, two broad strategies have been outlined in prior literature to... View Details
Keywords: AI and Machine Learning; Mathematical Methods
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Bhalla, Usha, Suraj Srinivas, and Himabindu Lakkaraju. "Verifiable Feature Attributions: A Bridge between Post Hoc Explainability and Inherent Interpretability." Advances in Neural Information Processing Systems (NeurIPS) (2023).
  • May 2020
  • Article

Scalable Holistic Linear Regression

By: Dimitris Bertsimas and Michael Lingzhi Li
We propose a new scalable algorithm for holistic linear regression building on Bertsimas & King (2016). Specifically, we develop new theory to model significance and multicollinearity as lazy constraints rather than checking the conditions iteratively. The resulting... View Details
Keywords: Mathematical Methods; Analytics and Data Science
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Bertsimas, Dimitris, and Michael Lingzhi Li. "Scalable Holistic Linear Regression." Operations Research Letters 48, no. 3 (May 2020): 203–208.
  • March 2022
  • Article

Sensitivity Analysis of Agent-based Models: A New Protocol

By: Emanuele Borgonovo, Marco Pangallo, Jan Rivkin, Leonardo Rizzo and Nicolaj Siggelkow
Agent-based models (ABMs) are increasingly used in the management sciences. Though useful, ABMs are often critiqued: it is hard to discern why they produce the results they do and whether other assumptions would yield similar results. To help researchers address such... View Details
Keywords: Agent-based Modeling; Sensitivity Analysis; Design Of Experiments; Total Order Sensitivity Indices; Organizations; Behavior; Decision Making; Mathematical Methods
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Borgonovo, Emanuele, Marco Pangallo, Jan Rivkin, Leonardo Rizzo, and Nicolaj Siggelkow. "Sensitivity Analysis of Agent-based Models: A New Protocol." Computational and Mathematical Organization Theory 28, no. 1 (March 2022): 52–94.
  • November 1990 (Revised August 1996)
  • Background Note

Sampling and Statistical Inference

By: Arthur Schleifer Jr.
An introduction to sampling and statistical inference that covers the main concepts (confidence intervals, tests of statistical significance, choice of sample size) that are needed in making inferences about a population mean or percent. Includes discussion of problems... View Details
Keywords: Mathematical Methods; Forecasting and Prediction; Demographics
Citation
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Schleifer, Arthur, Jr. "Sampling and Statistical Inference." Harvard Business School Background Note 191-092, November 1990. (Revised August 1996.)
  • January 2008 (Revised April 2008)
  • Teaching Note

Pilgrim Bank (C): Statistics Review with Data Desk

By: Frances X. Frei
Teaching Note for [602103]. View Details
Keywords: Banks and Banking; Mathematical Methods; Banking Industry
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Frei, Frances X. "Pilgrim Bank (C): Statistics Review with Data Desk." Harvard Business School Teaching Note 608-097, January 2008. (Revised April 2008.)
  • 2008
  • Working Paper

Unravelling in Two-Sided Matching Markets and Similarity of Preferences

By: Hanna Halaburda
This paper investigates the causes and welfare consequences of unravelling in two-sided matching markets. It shows that similarity of preferences is an important factor driving unravelling. In particular, it shows that under the ex-post stable mechanism (the mechanism... View Details
Keywords: Market Participation; Two-Sided Platforms; Marketplace Matching; Mathematical Methods
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Halaburda, Hanna. "Unravelling in Two-Sided Matching Markets and Similarity of Preferences." Harvard Business School Working Paper, No. 09-068, November 2008.
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