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  • All HBS Web  (855)
    • News  (79)
    • Research  (639)
    • Events  (14)
    • Multimedia  (4)
  • Faculty Publications  (632)

Show Results For

  • All HBS Web  (855)
    • News  (79)
    • Research  (639)
    • Events  (14)
    • Multimedia  (4)
  • Faculty Publications  (632)
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  • 2012
  • Chapter

Knowledge-based Innovation: Emergence and Embedding of New Practice Areas in Management Consulting Firms

By: Heidi K. Gardner, N. Anand and Tim Morris
How do innovative knowledge-based structures emerge and become embedded in organizations? We drew on theories of knowledge-intensive firms, communities of practice, and professional service firms to analyze multiple cases of new practice area creation in management... View Details
Keywords: Competency and Skills; Innovation and Invention; Knowledge; Organizations; Practice; Mathematical Methods; Consulting Industry
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Gardner, Heidi K., N. Anand, and Tim Morris. "Knowledge-based Innovation: Emergence and Embedding of New Practice Areas in Management Consulting Firms." In Management Consulting, edited by Stephanos Avakian and Timothy Clark. Cheltenham: Edward Elgar Publishing, 2012.
  • 2009
  • Working Paper

Smith and Rawls Share a Room: Stability and Medians

By: Bettina-Elisabeth Klaus and Flip Klijn
We consider one-to-one, one-sided matching (roommate) problems in which agents can either be matched as pairs or remain single. We introduce a so-called bi-choice graph for each pair of stable matchings and characterize its structure. Exploiting this structure we... View Details
Keywords: Fairness; One-Sided Platforms; Two-Sided Platforms; Marketplace Matching; Mathematical Methods; Balance and Stability
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Klaus, Bettina-Elisabeth, and Flip Klijn. "Smith and Rawls Share a Room: Stability and Medians." Harvard Business School Working Paper, No. 09-111, March 2009.
  • 2008
  • Chapter

Matching and Market Design

By: Muriel Niederle, Alvin E. Roth and Tayfun Sonmez
Matching is the part of economics concerned with who transacts with whom and how. Models of matching, starting with the Gale-Shapley deferred acceptance algorithm, have been particularly useful in studying labour markets and in helping design clearinghouses to fix... View Details
Keywords: Market Design; Marketplace Matching; Outcome or Result; Mathematical Methods
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Niederle, Muriel, Alvin E. Roth, and Tayfun Sonmez. "Matching and Market Design." In The New Palgrave Dictionary of Economics. 2nd ed. Edited by Steven Derlauf and Larry Blume. Hampshire, U.K.: Palgrave Macmillan, 2008.
  • January 2003 (Revised February 2011)
  • Tool

Business Analysis and Valuation Model (Version 5)

By: Paul M. Healy, Krishna G. Palepu and Jonathan Barnett
Once you enter company financial statements, this software enables you to standardize them to a common format, make any needed adjustments to the company's accounting, and make assumptions about the company's future performance. The model then provides financial ratios... View Details
Keywords: Financial Statements; Standards; Mathematical Methods; Valuation
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"Business Analysis and Valuation Model (Version 5)." Harvard Business School Tool 103-701, January 2003. (Revised February 2011.)
  • 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.
  • 2025
  • Working Paper

Evaluations Amid Measurement Error: Determining the Optimal Timing for Workplace Interventions

By: Matthew DosSantos DiSorbo, Iavor I. Bojinov and Fiammetta Menchetti
Researchers have embraced factorial experiments to simultaneously evaluate multiple treatments, each with different levels. Typically, in large-scale factorial experiments, the primary objective is identifying the treatment with the largest causal effect, especially... View Details
Keywords: Factorial Designs; Fisher Randomizations; Rank Estimators; Employer Interventions; Causal Inference; Mathematical Methods; Performance Improvement
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DosSantos DiSorbo, Matthew, Iavor I. Bojinov, and Fiammetta Menchetti. "Evaluations Amid Measurement Error: Determining the Optimal Timing for Workplace Interventions." Harvard Business School Working Paper, No. 24-075, June 2024. (Revised May 2025.)
  • 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.
  • 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
Keywords: Shapley Value; Coalitional Game; Game Theory; Mathematical Methods
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Kohlberg, Elon, and Abraham Neyman. "Games of Threats." Games and Economic Behavior 108 (March 2018): 139–145.
  • May 2017
  • Article

Agent-based Modeling: A Guide for Social Psychologists

By: Joshua Conrad Jackson, David Rand, Kevin Lewis, Michael I. Norton and Kurt Gray
Agent-based modeling is a longstanding but underused method that allows researchers to simulate artificial worlds for hypothesis testing and theory building. Agent-based models (ABMs) offer unprecedented control and statistical power by allowing researchers to... View Details
Keywords: Social Psychology; Marketing; Mathematical Methods
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Jackson, Joshua Conrad, David Rand, Kevin Lewis, Michael I. Norton, and Kurt Gray. "Agent-based Modeling: A Guide for Social Psychologists." Social Psychological & Personality Science 8, no. 4 (May 2017): 387–395.
  • 2010
  • Other Unpublished Work

Modeling Passenger Travel and Delays in the National Air Transportation System

Many of the existing methods for evaluating an airline's on-time performance are based on flight-centric measures of delay. However, recent research has demonstrated that passenger delays depend on many factors in addition to flight delays. For instance,... View Details
Keywords: Mathematical Methods; Performance Evaluation; Air Transportation Industry; United States
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Barnhart, C., D. Fearing, and V. Vaze. "Modeling Passenger Travel and Delays in the National Air Transportation System."
  • 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.
  • July 2019
  • Article

Optimal Capital Structure and Bankruptcy Choice: Dynamic Bargaining vs Liquidation

By: Samuel Antill and Steven R. Grenadier
We model a firm’s optimal capital structure decision in a framework in which it may later choose to enter either Chapter 11 reorganization or Chapter 7 liquidation. Creditors anticipate equityholders’ ex-post reorganization incentives and price them into the ex-ante... View Details
Keywords: Default; Dynamic Bargaining; Capital Structure; Insolvency and Bankruptcy; Mathematical Methods
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Antill, Samuel, and Steven R. Grenadier. "Optimal Capital Structure and Bankruptcy Choice: Dynamic Bargaining vs Liquidation." Journal of Financial Economics 133, no. 1 (July 2019): 198–224.
  • 2018
  • Working Paper

Algorithm Appreciation: People Prefer Algorithmic to Human Judgment

By: Jennifer M. Logg, Julia A. Minson and Don A. Moore
Even though computational algorithms often outperform human judgment, received wisdom suggests that people may be skeptical of relying on them (Dawes, 1979). Counter to this notion, results from six experiments show that lay people adhere more to advice when they think... View Details
Keywords: Algorithms; Accuracy; Advice Taking; Forecasting; Theory Of Machine; Mathematical Methods; Decision Making; Forecasting and Prediction; Trust
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Logg, Jennifer M., Julia A. Minson, and Don A. Moore. "Algorithm Appreciation: People Prefer Algorithmic to Human Judgment." Harvard Business School Working Paper, No. 17-086, March 2017. (Revised April 2018.)
  • 2011
  • Working Paper

Price Competition under Multinomial Logit Demand Functions with Random Coefficients

In this paper, we postulate a general class of price competition models with Mixed Multinomial Logit demand functions under affine cost functions. We first characterize the equilibrium behavior of this class of models in the case where each product in the market is... View Details
Keywords: Customers; Income Characteristics; Price; Product Marketing; Mathematical Methods; Competition; Segmentation
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Allon, Gad, Awi Federgruen, and Margaret Pierson. "Price Competition under Multinomial Logit Demand Functions with Random Coefficients." Harvard Business School Working Paper, No. 12-030, October 2011.
  • May 2004
  • Article

The Case for International Coordination of Electricity Regulation: Evidence from the Measurement of Efficiency in South America

A decade of experience has shown that monitoring the performance of public and private monopolies is the hardest part of electricity sector reform in South America—because operators control most of the information needed for effective regulation. South American... View Details
Keywords: Information; Mathematical Methods; Monopoly; Globalization; Energy Sources; Energy Industry; South America
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Ruzzier, Christian Alejandro, A. Estache, and M. Rossi. "The Case for International Coordination of Electricity Regulation: Evidence from the Measurement of Efficiency in South America." Journal of Regulatory Economics 25, no. 3 (May 2004): 271–295.
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