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  • All HBS Web  (838)
    • News  (79)
    • Research  (640)
    • Events  (14)
    • Multimedia  (4)
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Show Results For

  • All HBS Web  (838)
    • News  (79)
    • Research  (640)
    • Events  (14)
    • Multimedia  (4)
  • Faculty Publications  (632)
← Page 25 of 838 Results →
  • February 2010
  • Supplement

Real Property Negotiation Game (CW): Excel Model

By: Arthur I. Segel, John Vogel and Justin Seth Ginsburgh
This Excel model is used to analyze the deals made in The Real Property Negotiation Game, which simulates the experience negotiating the sale, purchase, or financing of a property. View Details
Keywords: Property; Negotiation Deal; Sales; Financing and Loans; Mathematical Methods; Real Estate Industry
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Segel, Arthur I., John Vogel, and Justin Seth Ginsburgh. "Real Property Negotiation Game (CW): Excel Model." Harvard Business School Spreadsheet Supplement 210-703, February 2010.
  • 2009
  • Working Paper

Systemic Risk and the Refinancing Ratchet Effect

By: Amir E. Khandani, Andrew W. Lo and Robert C. Merton
The confluence of three trends in the U.S. residential housing market—rising home prices, declining interest rates, and near-frictionless refinancing opportunities—led to vastly increased systemic risk in the financial system. Individually, each of these trends is... View Details
Keywords: Housing; Mortgages; Risk and Uncertainty; Value; Mathematical Methods; Real Estate Industry; United States
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Khandani, Amir E., Andrew W. Lo, and Robert C. Merton. "Systemic Risk and the Refinancing Ratchet Effect." NBER Working Paper Series, No. 15362, September 2009.
  • March 2002
  • Article

The Potential Role of Economic Cost Models in the Regulation of Telecommunications in Developing Countries

What is the efficient cost of providing telecommunications services to a certain area or type of customer? As developing countries build up their capacity to regulate infrastructure monopolies, cost models are likely to prove increasingly important in answering... View Details
Keywords: Information; Cost; Mathematical Methods; Developing Countries and Economies; Telecommunications Industry
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Ruzzier, Christian Alejandro, D. Benitez, A. Estache, and D. M. Kennet. "The Potential Role of Economic Cost Models in the Regulation of Telecommunications in Developing Countries." Information Economics and Policy 14, no. 1 (March 2002): 21–38.
  • October 2000 (Revised March 2004)
  • Background Note

Variance Analysis and Flexible Budgeting

By: Robert S. Kaplan
Facilitates the teaching of cases on variance analysis and flexible budgeting. Uses algebra, diagrams, and numerical examples to illustrate the calculation of price, quantity, and mix variances for revenues and costs, and a flexible budget for analyzing indirect and... View Details
Keywords: Cost; Price; Mathematical Methods; Revenue; Budgets and Budgeting
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Kaplan, Robert S. "Variance Analysis and Flexible Budgeting." Harvard Business School Background Note 101-039, October 2000. (Revised March 2004.)
  • 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.
  • Forthcoming
  • Article

Slowly Varying Regression Under Sparsity

By: Dimitris Bertsimas, Vassilis Digalakis Jr, Michael Lingzhi Li and Omar Skali Lami
We consider the problem of parameter estimation in slowly varying regression models with sparsity constraints. We formulate the problem as a mixed integer optimization problem and demonstrate that it can be reformulated exactly as a binary convex optimization problem... View Details
Keywords: Mathematical Methods; Analytics and Data Science
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Bertsimas, Dimitris, Vassilis Digalakis Jr, Michael Lingzhi Li, and Omar Skali Lami. "Slowly Varying Regression Under Sparsity." Operations Research (forthcoming). (Pre-published online March 27, 2024.)
  • 2024
  • Working Paper

Empirical Guidance: Data Processing and Analysis with Applications in Stata, R, and Python

By: Melissa Ouellet and Michael W. Toffel
This paper describes a range of best practices to compile and analyze datasets, and includes some examples in Stata, R, and Python. It is meant to serve as a reference for those getting started in econometrics, and especially those seeking to conduct data analyses in... View Details
Keywords: Empirical Methods; Empirical Operations; Statistical Methods And Machine Learning; Statistical Interferences; Research Analysts; Analytics and Data Science; Mathematical Methods
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Ouellet, Melissa, and Michael W. Toffel. "Empirical Guidance: Data Processing and Analysis with Applications in Stata, R, and Python." Harvard Business School Working Paper, No. 25-010, August 2024.
  • 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.
  • March 2016 (Revised January 2020)
  • Teaching Note

Behavioural Insights Team (A) and (B)

By: Michael Luca and Patrick Rooney
The Behavioural Insights Team case introduces students to the concept of choice architecture and the value of experimental methods (sometimes called A/B testing) within organizational contexts. The exercise provides an opportunity for students to apply these principles... View Details
Keywords: Behavioral Economics; Experiments; Choice Architecture; Public Entrepreneurship; Decision Choices and Conditions; Mathematical Methods; United Kingdom
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Luca, Michael, and Patrick Rooney. "Behavioural Insights Team (A) and (B)." Harvard Business School Teaching Note 916-050, March 2016. (Revised January 2020.)
  • 1977
  • Chapter

A Reexamination of the Capital Asset Pricing Model

By: Robert C. Merton
Keywords: Capital; Asset Pricing; Mathematical Methods
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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.)
  • January 1971 (Revised November 1975)
  • Background Note

Linear Programming: A Technique for Analyzing Resource Allocation Problems

By: Paul W. Marshall
Keywords: Problems and Challenges; Mathematical Methods; Management Analysis, Tools, and Techniques
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Marshall, Paul W. "Linear Programming: A Technique for Analyzing Resource Allocation Problems." Harvard Business School Background Note 171-322, January 1971. (Revised November 1975.)
  • 2022
  • Article

Data Poisoning Attacks on Off-Policy Evaluation Methods

By: Elita Lobo, Harvineet Singh, Marek Petrik, Cynthia Rudin and Himabindu Lakkaraju
Off-policy Evaluation (OPE) methods are a crucial tool for evaluating policies in high-stakes domains such as healthcare, where exploration is often infeasible, unethical, or expensive. However, the extent to which such methods can be trusted under adversarial threats... View Details
Keywords: Analytics and Data Science; Cybersecurity; Mathematical Methods
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Lobo, Elita, Harvineet Singh, Marek Petrik, Cynthia Rudin, and Himabindu Lakkaraju. "Data Poisoning Attacks on Off-Policy Evaluation Methods." Proceedings of the Conference on Uncertainty in Artificial Intelligence (UAI) 38th (2022): 1264–1274.
  • 2020
  • Working Paper

Contract Duration and the Costs of Market Transactions

By: Alexander MacKay
The optimal duration of a supply contract balances the costs of reselecting a supplier against the costs of being matched to an inefficient supplier when the contract lasts too long. I develop a structural model of contract duration that captures this tradeoff and... View Details
Keywords: Vertical Relationships; Transaction Costs; Contract Duration; Identification; Supply Chain; Cost; Contracts; Auctions; Mathematical Methods
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MacKay, Alexander. "Contract Duration and the Costs of Market Transactions." Harvard Business School Working Paper, No. 18-058, December 2017. (Revised May 2020. Direct download.)
  • 1977
  • Chapter

A Diagnostic Model for Organizational Behavior

By: D. Nadler and M. Tushman
Keywords: Mathematical Methods; Organizational Design; Organizational Structure; Behavior
Citation
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Nadler, D., and M. Tushman. "A Diagnostic Model for Organizational Behavior." In Perspectives on Behavior in Organizations, edited by Richard J. Hackman, Edward E. Lawler, Lyman W. Porter, and Patricia S. Nave. New York: McGraw-Hill, 1977.
  • Article

Formal Measures in Informal Management: Can a Balanced Scorecard Change a Culture?

By: Robert Gibbons and Robert S. Kaplan
Agency theorists, historically, have analyzed what kinds of performance measures should be used in formal incentive contracts. For example, after Kaplan-Norton proposed a balanced scorecard of both financial and non-financial measures, some envisioned its role only in... View Details
Keywords: Relational Contracts; Performance Measurement; Informal Management; Balanced Scorecard; Economics; Mathematical Methods
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Gibbons, Robert, and Robert S. Kaplan. "Formal Measures in Informal Management: Can a Balanced Scorecard Change a Culture?" American Economic Review: Papers and Proceedings 105, no. 5 (May 2015).
  • 2007
  • Working Paper

Deferred Acceptance Algorithms: History, Theory, Practice, and Open Questions

By: Alvin E. Roth
The deferred acceptance algorithm proposed by Gale and Shapley (1962) has had a profound influence on market design, both directly, by being adapted into practical matching mechanisms, and, indirectly, by raising new theoretical questions. Deferred acceptance... View Details
Keywords: Education; Marketplace Matching; Market Design; Mathematical Methods; Theory; Practice
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Roth, Alvin E. "Deferred Acceptance Algorithms: History, Theory, Practice, and Open Questions." NBER Working Paper Series, No. 13225, July 2007.
  • Article

Wealth-Making in Nineteenth and Early Twentieth Century Britain: Industry v. Commerce and Finance

By: Tom Nicholas
This paper refutes the hypothesis put forward by W.D. Rubinstein that a disproportionately large share of Britain's wealth makers were active in commercial and financial trades in London. We use a data set of businessmen active in nineteenth- and early... View Details
Keywords: Trade; Finance; Commercialization; Mathematical Methods; Wealth and Poverty; Great Britain; London
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Nicholas, Tom. "Wealth-Making in Nineteenth and Early Twentieth Century Britain: Industry v. Commerce and Finance." Business History 41, no. 1 (January 1999).
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