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Publications

Publications

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  • All HBS Web  (617)
    • News  (18)
    • Research  (579)
    • Events  (3)
  • Faculty Publications  (568)

Show Results For

  • All HBS Web  (617)
    • News  (18)
    • Research  (579)
    • Events  (3)
  • Faculty Publications  (568)
← Page 15 of 617 Results →
  • 1995
  • Chapter

Dynamic General Equilibrium Models with Imperfectly Competitive Product Markets

By: Julio J. Rotemberg and Michael Woodford
Keywords: Mathematical Methods; Competition; Markets
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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.
  • 2005
  • Chapter

A Revised Model of the Resource Allocation Process

By: J. L. Bower and Clark Gilbert
Keywords: Resource Allocation; Mathematical Methods
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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
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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.
  • November 1974 (Revised November 1977)
  • Background Note

Developing Forecasts with the Aid of Regression Analysis

By: Paul A. Vatter
Keywords: Forecasting and Prediction; Mathematical Methods
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Vatter, Paul A. "Developing Forecasts with the Aid of Regression Analysis." Harvard Business School Background Note 175-105, November 1974. (Revised November 1977.)
  • 2016
  • Working Paper

Refugee Resettlement

By: David Delacretaz, Scott Duke Kominers and Alexander Teytelboym
Over 100,000 refugees are permanently resettled from refugee camps to hosting countries every year. Nevertheless, refugee resettlement processes in most countries are ad hoc, accounting for neither the priorities of hosting communities nor the preferences of refugees... View Details
Keywords: Refugees; Marketplace Matching; Mathematical Methods
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Delacretaz, David, Scott Duke Kominers, and Alexander Teytelboym. "Refugee Resettlement." Working Paper, November 2016.
  • October 2012 (Revised October 2016)
  • Case

Predilytics

By: Robert F. Higgins and Annelena Lobb
The management team at Predilytics, a healthcare analytics firm, must decide whether to accept a Series A venture capital financing deal. The company provided analytic services to healthcare plans, typically Medicare Advantage plans, in efforts to draw conclusions from... View Details
Keywords: Analytics; Healthcare; Medicare; Health Care and Treatment; Mathematical Methods; Health Industry; New England; United States
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Higgins, Robert F., and Annelena Lobb. "Predilytics." Harvard Business School Case 813-023, October 2012. (Revised October 2016.)
  • 2008
  • Chapter

Moving to a New Global Competitiveness Index

By: Michael E. Porter, Mercedes Delgado-Garcia, Christian H.M. Ketels and Scott Stern
Keywords: Globalization; Competitive Advantage; Mathematical Methods
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Porter, Michael E., Mercedes Delgado-Garcia, Christian H.M. Ketels, and Scott Stern. "Moving to a New Global Competitiveness Index." Chap. 1.2 in Global Competitiveness Report 2008/2009, edited by Michael E. Porter and Klaus Schwab, 43–63. Geneva: World Economic Forum, 2008.
  • August 2006
  • Article

Confidence Intervals for Probabilities of Default

By: Samuel G. Hanson and Til Schuermann
In this paper we conduct a systematic comparison of confidence intervals around estimated probabilities of default (PD) using several analytical approaches as well as parametric and nonparametric bootstrap methods. We do so for two different PD estimation... View Details
Keywords: Credit Risk; Bootstrap; Mathematical Methods; Credit; Risk Management
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Hanson, Samuel G., and Til Schuermann. "Confidence Intervals for Probabilities of Default." Journal of Banking & Finance 30, no. 8 (August 2006).
  • 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
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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
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Nicholas, Tom, and David Chen. "The Whiz Kids." Harvard Business School Case 811-042, March 2011. (Revised April 2021.)
  • 01 Dec 2007
  • News

From A to Z

French Last Job: Business Analyst, McKinsey & Company, Moscow Age: 26 Why HBS? “My degree is in economics, which was exciting but strictly mathematical and theoretical. I wanted to become a more well-rounded individual and gain a wider... View Details
Keywords: Business Schools & Computer & Management Training; Educational Services
  • May 2017
  • Article

Stable and Strategy-Proof Matching with Flexible Allotments

By: John William Hatfield, Scott Duke Kominers and Alexander Westkamp
We introduce a framework of matching with flexible allotments that can be used to model firms with cross-division hiring restrictions. Our framework also allows us to nest some prior models of matching with distributional constraints. Building upon our recent work on... View Details
Keywords: Balance and Stability; Mathematical Methods
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Hatfield, John William, Scott Duke Kominers, and Alexander Westkamp. "Stable and Strategy-Proof Matching with Flexible Allotments." American Economic Review 107, no. 5 (May 2017): 214–219.
  • July 1999
  • Background Note

Note on Statistical Tests for a Randomized Matched Pair Experimental Design, A

By: Alvin J. Silk
Concerns understanding the conditions under which an experimental design that employs matching and randomization may result in gains in precision as compared to a design that utilizes randomization and independent samples--i.e., no matching. An empirical example is... View Details
Keywords: Marketing; Performance Efficiency; Mathematical Methods
Citation
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Silk, Alvin J. "Note on Statistical Tests for a Randomized Matched Pair Experimental Design, A." Harvard Business School Background Note 500-007, July 1999.
  • 1981
  • Chapter

Sparsity and Piecewise Linearity in Large Portfolio Optimization Problems

By: André Perold and Harry M. Markowitz
Keywords: Investment Portfolio; Mathematical Methods
Citation
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Perold, André, and Harry M. Markowitz. "Sparsity and Piecewise Linearity in Large Portfolio Optimization Problems." In Sparse Matricies and Their Uses, edited by I. S. Duff. Academic Press, 1981.
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