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- All HBS Web (302)
- Faculty Publications (230)
- January 2010 (Revised October 2011)
- Case
The Congressional Oversight Panel's Valuation of the TARP Warrants (A)
The Congressional Oversight Panel wants to value the warrants issued to the government in connection with the TARP investments of 2008, in order to increase the transparency of options repurchases. The case describes the methodology used to value the warrants. Students... View Details
Keywords: Financial Crisis; Asset Pricing; Financial Instruments; Investment; Business and Government Relations; Mathematical Methods; Valuation; Banking Industry; Public Administration Industry; United States
Baldwin, Carliss Y. "The Congressional Oversight Panel's Valuation of the TARP Warrants (A)." Harvard Business School Case 210-035, January 2010. (Revised October 2011.)
- August 2012
- Article
Organ Allocation Policy and the Decision to Donate
By: Judd B. Kessler and Alvin E. Roth
Organ donations from deceased donors (cadavers) provide the majority of transplanted organs in the United States, and one deceased donor can save numerous lives by providing multiple organs. Nevertheless, most Americans are not registered organ donors despite the... View Details
Keywords: Organ Donation; Health; Philanthropy and Charitable Giving; Decision Making; Resource Allocation; Mathematical Methods; United States
Kessler, Judd B., and Alvin E. Roth. "Organ Allocation Policy and the Decision to Donate." American Economic Review 102, no. 5 (August 2012): 2018–2047.
- November 2009
- Journal Article
A Theory of Growth and Volatility at the Aggregate and Firm Level
By: Diego A. Comin and Sunil Mulani
This paper presents an endogenous growth model that explains the evolution of the first and second moments of productivity growth at the aggregate and firm level during the post-war period. Growth is driven by the development of both (i) idiosyncratic R&D innovations... View Details
Keywords: Volatility; Microeconomics; Innovation and Invention; Growth and Development Strategy; Resource Allocation; Performance Productivity; Mathematical Methods; Research and Development
Comin, Diego A., and Sunil Mulani. "A Theory of Growth and Volatility at the Aggregate and Firm Level." Journal of Monetary Economics 56, no. 8 (November 2009): 1023–1042.
- 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
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.
- December 2009
- Article
Strategy-proofness versus Efficiency in Matching with Indifferences: Redesigning the NYC High School Match
By: Atila Abdulkadiroglu, Parag A. Pathak and Alvin E. Roth
The design of the New York City (NYC) High School match involved tradeoffs among efficiency, stability, and strategy-proofness that raise new theoretical questions. We analyze a model with indifferences—ties—in school preferences. Simulations with field data and the... View Details
Keywords: Decision Choices and Conditions; Secondary Education; Marketplace Matching; Performance Efficiency; Mathematical Methods; Motivation and Incentives; Strategy; Balance and Stability
Abdulkadiroglu, Atila, Parag A. Pathak, and Alvin E. Roth. "Strategy-proofness versus Efficiency in Matching with Indifferences: Redesigning the NYC High School Match." American Economic Review 99, no. 5 (December 2009). (AER links to access the Appendix and Downloadable Data Set.)
- Article
Crowdsourcing City Government: Using Tournaments to Improve Inspection Accuracy
By: Edward Glaeser, Andrew Hillis, Scott Duke Kominers and Michael Luca
The proliferation of big data makes it possible to better target city services like hygiene inspections, but city governments rarely have the in-house talent needed for developing prediction algorithms. Cities could hire consultants, but a cheaper alternative is to... View Details
Keywords: User-generated Content; Operations; Tournaments; Policy-making; Machine Learning; Online Platforms; Analytics and Data Science; Mathematical Methods; City; Infrastructure; Business Processes; Government and Politics
Glaeser, Edward, Andrew Hillis, Scott Duke Kominers, and Michael Luca. "Crowdsourcing City Government: Using Tournaments to Improve Inspection Accuracy." American Economic Review: Papers and Proceedings 106, no. 5 (May 2016): 114–118.
- 2019
- Article
Ridesharing with Driver Location Preferences
By: Duncan Rheingans-Yoo, Scott Duke Kominers, Hongyao Ma and David C. Parkes
We study revenue-optimal pricing and driver compensation in ridesharing platforms when drivers have heterogeneous preferences over locations. If a platform ignores drivers' location preferences, it may make inefficient trip dispatches; moreover, drivers may strategize... View Details
Keywords: Ridesharing; Pricing; Compensation and Benefits; Geographic Location; Market Design; Mathematical Methods
Rheingans-Yoo, Duncan, Scott Duke Kominers, Hongyao Ma, and David C. Parkes. "Ridesharing with Driver Location Preferences." Proceedings of the International Joint Conference on Artificial Intelligence (2019): 557–564.
- March 2005
- Article
Sovereign Debt As a Contingent Claim: A Quantitative Approach
By: Laura Alfaro and Fabio Kanczuk
We construct a dynamic equilibrium model with contingent service and adverse selection to quantitatively study sovereign debt. In the model, benefits of defaulting are tempered by higher future interest rates. For a wide set of parameters, the only equilibrium is one... View Details
Keywords: Sovereign Finance; Borrowing and Debt; Interest Rates; Balance and Stability; Risk and Uncertainty; Risk Management; Mathematical Methods; Management Style; Segmentation; Debt Securities; Banking Industry
Alfaro, Laura, and Fabio Kanczuk. "Sovereign Debt As a Contingent Claim: A Quantitative Approach." Journal of International Economics 65, no. 2 (March 2005).
- January 2002 (Revised October 2007)
- Case
Grantham, Mayo, Van Otterloo & Co., 2001
By: Joshua Musher and Andre F. Perold
Asset manager GMO underperforms the market during the 1996-2000 stock market bubble because of the focus on absolute risk. After suffering significant client withdrawals, performance again shines when the bubble collapses. Did they win the battle only to lose the war?... View Details
Keywords: Customers; Asset Management; Stocks; Investment; Price Bubble; Mathematical Methods; Risk and Uncertainty
Musher, Joshua, and Andre F. Perold. "Grantham, Mayo, Van Otterloo & Co., 2001." Harvard Business School Case 202-049, January 2002. (Revised October 2007.)
- 26 Jan 2015
- Research & Ideas
National Health Costs Could Decrease if Managers Reduce Work Stress
Mortality and Health Costs in the United States, written with Stanford business professors Jeffrey Pfeffer and Stefanos A. Zenios. Goh specializes in developing complex mathematical models that can aid... View Details
- Web
Finance - Faculty & Research
as well as with past stock returns and with the level of the stock market. However, investor expectations are strongly negatively correlated with model-based expected returns. The evidence is not consistent with rational expectations representative investor View Details
- 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
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.
- Fall 2012
- Article
Innovation Strategy and Entry Deterrence
By: Ozge Turut and Elie Ofek
We model an incumbent's decision to pursue radical or incremental innovation when facing a rival entrant. The radical innovation may yield lucrative financial returns but entails significant technological and market-related uncertainties. It is also particularly... View Details
Turut, Ozge, and Elie Ofek. "Innovation Strategy and Entry Deterrence." Journal of Economics & Management Strategy 12, no. 3 (Fall 2012).
- 2010
- Working Paper
Agency Revisited
By: Ramon Casadesus-Masanell and Daniel F. Spulber
The article presents a comprehensive overview of the principal-agent model that emphasizes the role of trust in the agency relationship. The analysis demonstrates that the legal remedy for breach of duty can result in a full-information efficient outcome eliminating... View Details
Casadesus-Masanell, Ramon, and Daniel F. Spulber. "Agency Revisited." Harvard Business School Working Paper, No. 10-082, March 2010.
- December 1988
- Article
Strategic Responses to Automobile Emissions Control: A Game-Theoretic Analysis
By: Dennis Yao
This paper examines the dynamics of standard-setting regulation under technological uncertainty and asymmetric information about technological capability. A two-period model which allows fully strategic action is developed and applied to the regulation of automobile... View Details
Keywords: Transportation; Pollutants; Standards; Governance Controls; Technological Innovation; Research and Development; Mathematical Methods
Yao, Dennis. "Strategic Responses to Automobile Emissions Control: A Game-Theoretic Analysis." Journal of Environmental Economics and Management 15 (December 1988): 419–438. (Harvard users click here for full text.)
- June 2021
- Technical Note
Introduction to Linear Regression
By: Michael Parzen and Paul Hamilton
This technical note introduces (from an applied point of view) the theory and application of simple and multiple linear regression. The motivation for the model is introduced, as well as how to interpret the summary output with regard to prediction and statistical... View Details
- 20 Jan 2009
- Research & Ideas
Risky Business with Structured Finance
growing at such an unprecedented rate that it piqued their curiosity. "People didn't explain anything about CDOs in a compelling way," he says. "They said, 'Oh, they're slicing and dicing.' Or they resorted to mathematical... View Details
- 2021
- Working Paper
An Empirical Study of Time Allotment and Delays in E-commerce Delivery
By: M. Balakrishnan, MoonSoo Choi and Natalie Epstein
Problem definition: We study how having more time allotted to deliver an order affects the speed of the delivery process. Furthermore, we seek to predict orders that are likely to be delayed early in the delivery process so that actions can be taken to avoid delays.... View Details
Keywords: Logistics; E-commerce; Mathematical Methods; AI and Machine Learning; Performance Productivity
Balakrishnan, M., MoonSoo Choi, and Natalie Epstein. "An Empirical Study of Time Allotment and Delays in E-commerce Delivery." Working Paper, December 2021.
- Web
Topics - HBS Working Knowledge
Model (23) Business Offices (4) Business Plan (2) Business Processes (4) Business Startups (39) Business Strategy (31) Business Units (1) Business Ventures (153) Business and Community Relations (8) Business and Government Relations (44)... View Details
- Article
Loss Aversion, Diminishing Sensitivity, and the Role of Experience in Repeated Decisions
Three experiments are presented that explore the assertion that loss aversion and diminishing sensitivity drive the effect of experience on choice behavior. The experiments are focused on repeated choice tasks where decision makers choose repeatedly between... View Details
Erev, Ido, Eyal Ert, and Eldad Yechiam. "Loss Aversion, Diminishing Sensitivity, and the Role of Experience in Repeated Decisions." Journal of Behavioral Decision Making 21, no. 5 (December 2008).