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  • All HBS Web  (1,959)
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    • News  (215)
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    • Multimedia  (13)
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  • 28 Aug 2007
  • First Look

First Look: August 28, 2007

does not seem to explain the higher level of firm diversification. However, we find that Chinese state-owned enterprises diversify their operations more aggressively than other Chinese firms. Research limitations/implications—Ownership... View Details
Keywords: Martha Lagace
  • 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
Citation
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Simpson, William B. "An Introduction to Mixed Models in SAS." Boston Area SAS Users Group, Boston, MA, December 1, 1998.
  • 06 Apr 2010
  • First Look

First Look: April 6

and Business Groups: New Data and New Methods Authors: Jordan I. Siegel and Prithwiraj Choudhury Abstract The last decade of corporate governance research has been focused in large part on identifying what... View Details
Keywords: Martha Lagace
  • 29 Apr 2008
  • First Look

First Look: April 29, 2008

implementation plan for a specific market—Brazil—is described. In particular, we are given data that were used in the roll-out process that showed the market's managers how they compared with other markets on a number of dimensions. Finally, the (D) case shows some... View Details
Keywords: Martha Lagace
  • 1970
  • Chapter

The Time Series Behavior of Earnings: Discussion

By: Michael Jensen
Keywords: Business Earnings; Mathematical Methods
Citation
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Jensen, Michael. "The Time Series Behavior of Earnings: Discussion." In Empirical Research in Accounting: Selected Studies. University of Chicago, Institute of Professional Accounting, 1970.
  • September 2021
  • Article

Diagnostic Bubbles

By: Pedro Bordalo, Nicola Gennaioli, Spencer Yongwook Kwon and Andrei Shleifer
We introduce diagnostic expectations into a standard setting of price formation in which investors learn about the fundamental value of an asset and trade it. We study the interaction of diagnostic expectations with two well-known mechanisms: learning from prices and... View Details
Keywords: Bubble; Speculation; Diagnostic Expectations; Price Bubble; Mathematical Methods
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Bordalo, Pedro, Nicola Gennaioli, Spencer Yongwook Kwon, and Andrei Shleifer. "Diagnostic Bubbles." Journal of Financial Economics 141, no. 3 (September 2021).
  • 14 Aug 2017
  • Conference Presentation

A Convex Framework for Fair Regression

By: Richard Berk, Hoda Heidari, Shahin Jabbari, Matthew Joseph, Michael J. Kearns, Jamie Morgenstern, Seth Neel and Aaron Roth
We introduce a flexible family of fairness regularizers for (linear and logistic) regression problems. These regularizers all enjoy convexity, permitting fast optimization, and they span the range from notions of group fairness to strong individual fairness. By varying... View Details
Keywords: Regression Models; Machine Learning; Fairness; Framework; Mathematical Methods
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Berk, Richard, Hoda Heidari, Shahin Jabbari, Matthew Joseph, Michael J. Kearns, Jamie Morgenstern, Seth Neel, and Aaron Roth. "A Convex Framework for Fair Regression." Paper presented at the 4th Workshop on Fairness, Accountability, and Transparency in Machine Learning, Special Interest Group on Knowledge Discovery and Data Mining (SIGKDD), August 14, 2017.
  • 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
Citation
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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
Citation
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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
Citation
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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.
  • 2025
  • Working Paper

Incentive-Compatible Recovery from Manipulated Signals, with Applications to Decentralized Physical Infrastructure

By: Jason Milionis, Jens Ernstberger, Joseph Bonneau, Scott Duke Kominers and Tim Roughgarden
We introduce the first formal model capturing the elicitation of unverifiable information from a party (the "source") with implicit signals derived by other players (the "observers"). Our model is motivated in part by applications in decentralized physical... View Details
Keywords: Mathematical Methods; Infrastructure; Information Infrastructure
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Milionis, Jason, Jens Ernstberger, Joseph Bonneau, Scott Duke Kominers, and Tim Roughgarden. "Incentive-Compatible Recovery from Manipulated Signals, with Applications to Decentralized Physical Infrastructure." Working Paper, March 2025.
  • 2021
  • Working Paper

Impact Investing: A Theory of Financing Social Enterprises

By: Benjamin N. Roth
I present a model of financing social enterprises to delineate the role of impact investors relative to “pure” philanthropists. I characterize the optimal scale and structure of a social enterprise when financed by grants, and when financed by investments. Impact... View Details
Keywords: Impact Investing; Social Entrepreneurship; Finance; Investment; Mathematical Methods
Citation
SSRN
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Roth, Benjamin N. "Impact Investing: A Theory of Financing Social Enterprises." Harvard Business School Working Paper, No. 20-078, February 2020. (Revised June 2021.)
  • Article

Quantile Evaluation, Sensitivity to Bracketing, and Sharing Business Payoffs

By: Y. Grushka-Cockayne, K. C. Lichtendahl, V.R.R. Jose and R.L. Winkler
From forecasting competitions to conditional value-at-risk requirements, the use of multiple quantile assessments is growing in practice. To evaluate them, we use a rule from the general class of proper scoring rules for a forecaster’s multiple quantiles of a single... View Details
Keywords: Forecast; Aggregation; Operations; Forecasting and Prediction; Mathematical Methods
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Grushka-Cockayne, Y., K. C. Lichtendahl, V.R.R. Jose, and R.L. Winkler. "Quantile Evaluation, Sensitivity to Bracketing, and Sharing Business Payoffs." Operations Research 65, no. 3 (May–June 2017): 712–728.
  • January 2000
  • Article

Maxmin Expected Utility through Statewise Combinations

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. The key axioms are stated using statewise combinations as in Gul (1992). View Details
Keywords: Decision Choices and Conditions; Mathematical Methods
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Casadesus-Masanell, Ramon, Peter Klibanoff, and Emre Ozdenoren. "Maxmin Expected Utility through Statewise Combinations." Economics Letters 66, no. 1 (January 2000): 49–54.
  • 1977
  • Chapter

A Reexamination of the Capital Asset Pricing Model

By: Robert C. Merton
Keywords: Capital; Asset Pricing; Mathematical Methods
Citation
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Merton, Robert C. "A Reexamination of the Capital Asset Pricing Model." In Studies in Risk and Return, edited by J. Bicksler and I. Friend. Cambridge, MA: Ballinger Publishing Company, 1977.
  • March 2011 (Revised April 2021)
  • Case

The Whiz Kids

By: Tom Nicholas and David Chen
In October 1945, Henry Ford II received a telegram in his office at the Ford Motor Company in Dearborn, Michigan written by Charles "Tex" Thornton, a U.S. Air Force colonel. The telegram presented an opportunity for Ford to deploy a system of statistical control which... View Details
Keywords: Ford Motor Company; Statistical Control; Management Systems; Accounting; Operations; Strategy; Mathematical Methods; Auto Industry; United States
Citation
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Nicholas, Tom, and David Chen. "The Whiz Kids." Harvard Business School Case 811-042, March 2011. (Revised April 2021.)
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