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  • All HBS Web  (628)
    • News  (18)
    • Research  (582)
    • Events  (3)
  • Faculty Publications  (575)

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  • All HBS Web  (628)
    • News  (18)
    • Research  (582)
    • Events  (3)
  • Faculty Publications  (575)
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  • 1997
  • Chapter

Applications of Option-Pricing Theory: Twenty-Five Years Later

By: Robert C. Merton
Keywords: Asset Pricing; Stock Options; Mathematical Methods
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Merton, Robert C. "Applications of Option-Pricing Theory: Twenty-Five Years Later." In Les Prix Nobel 1997, edited by Tore Frängsmyr. Stockholm: Nobel Foundation, 1997. (Reprinted in American Economic Review, June 1998.)
  • spring 1987
  • Article

Second-Sourcing and the Experience Curve: Price Competition in Defense Procurement

By: James J. Anton and Dennis A. Yao
We examine a dynamic model of price competition in defense procurement that incorporates the experience curve, asymmetric cost information, and the availability of a higher cost alternative system. We model acquisition as a two-stage process in which initial production... View Details
Keywords: Acquisition; Government and Politics; Price; Competition; Mathematical Methods
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Anton, James J., and Dennis A. Yao. "Second-Sourcing and the Experience Curve: Price Competition in Defense Procurement." RAND Journal of Economics 18, no. 1 (spring 1987): 57–76. (Harvard users click here for full text.)
  • 2023
  • Article

Which Models Have Perceptually-Aligned Gradients? An Explanation via Off-Manifold Robustness

By: Suraj Srinivas, Sebastian Bordt and Himabindu Lakkaraju
One of the remarkable properties of robust computer vision models is that their input-gradients are often aligned with human perception, referred to in the literature as perceptually-aligned gradients (PAGs). Despite only being trained for classification, PAGs cause... View Details
Keywords: AI and Machine Learning; Mathematical Methods
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Srinivas, Suraj, Sebastian Bordt, and Himabindu Lakkaraju. "Which Models Have Perceptually-Aligned Gradients? An Explanation via Off-Manifold Robustness." Advances in Neural Information Processing Systems (NeurIPS) (2023).
  • March 2020
  • Article

Diagnosing Missing Always at Random in Multivariate Data

By: Iavor I. Bojinov, Natesh S. Pillai and Donald B. Rubin
Models for analyzing multivariate data sets with missing values require strong, often assessable, assumptions. The most common of these is that the mechanism that created the missing data is ignorable—a twofold assumption dependent on the mode of inference. The first... View Details
Keywords: Missing Data; Diagnostic Tools; Sensitivity Analysis; Hypothesis Testing; Missing At Random; Row Exchangeability; Analytics and Data Science; Mathematical Methods
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Bojinov, Iavor I., Natesh S. Pillai, and Donald B. Rubin. "Diagnosing Missing Always at Random in Multivariate Data." Biometrika 107, no. 1 (March 2020): 246–253.
  • June 2000
  • Article

On the Regulatory Application of Efficiency Measures

The last decade has witnessed a change to more powerful incentive schemes and the adoption by a large number of regulators of some form of price cap regimes. The efficiency frontiers literature tackles the problem of measuring the X factor in a price cap regime... View Details
Keywords: Performance Productivity; Mathematical Methods; Performance Efficiency
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Ruzzier, Christian Alejandro. "On the Regulatory Application of Efficiency Measures." Utilities Policy 9, no. 2 (June 2000): 81–92. (with M. Rossi.)
  • August 2001 (Revised July 2008)
  • Technical Note

A Technical Note and Discussion on Real Estate Valuation (IBET): Back of the Envelope (BOE) on Bonhomme Place: A Case within a Case

By: Arthur I Segel
Discusses real estate valuation. Reviews "back of the envelope" valuation; real estate appraisal methods, including the income method; market comparables and replacement costs; and more complex computer modeling. Also discusses other variables that could influence... View Details
Keywords: Investment Funds; Mathematical Methods; Valuation; Real Estate Industry
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Segel, Arthur I. "A Technical Note and Discussion on Real Estate Valuation (IBET): Back of the Envelope (BOE) on Bonhomme Place: A Case within a Case." Harvard Business School Technical Note 802-025, August 2001. (Revised July 2008.)
  • 2011
  • Working Paper

Charitable Giving When Altruism and Similarity Are Linked

By: Julio J. Rotemberg
This paper presents a model in which anonymous charitable donations are rationalized by two human tendencies drawn from the psychology literature. The first is people's disproportionate disposition to help those they agree with while the second is the dependence of... View Details
Keywords: Philanthropy and Charitable Giving; Mathematical Methods; Attitudes; Interests; Perception; Wealth and Poverty
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Rotemberg, Julio J. "Charitable Giving When Altruism and Similarity Are Linked." NBER Working Paper Series, No. 17585, November 2011.
  • July 2008
  • Article

Crime and Punishment in the 'American Dream'

By: Rafael Di Tella and Juan Dubra
We observe that countries where belief in the "American dream" (i.e., effort pays) prevails also set harsher punishment for criminals. We know that beliefs are also correlated with several features of the economic system (taxation, social insurance, etc). Our objective... View Details
Keywords: Crime and Corruption; Economic Systems; Values and Beliefs; Law Enforcement; Mathematical Methods; Personal Characteristics; United States
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Di Tella, Rafael, and Juan Dubra. "Crime and Punishment in the 'American Dream'." Journal of Public Economics 92, no. 7 (July 2008).
  • 2023
  • Working Paper

An Experimental Design for Anytime-Valid Causal Inference on Multi-Armed Bandits

By: Biyonka Liang and Iavor I. Bojinov
Typically, multi-armed bandit (MAB) experiments are analyzed at the end of the study and thus require the analyst to specify a fixed sample size in advance. However, in many online learning applications, it is advantageous to continuously produce inference on the... View Details
Keywords: Analytics and Data Science; AI and Machine Learning; Mathematical Methods
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Liang, Biyonka, and Iavor I. Bojinov. "An Experimental Design for Anytime-Valid Causal Inference on Multi-Armed Bandits." Harvard Business School Working Paper, No. 24-057, March 2024.
  • November–December 2018
  • Article

Online Network Revenue Management Using Thompson Sampling

By: Kris J. Ferreira, David Simchi-Levi and He Wang
We consider a network revenue management problem where an online retailer aims to maximize revenue from multiple products with limited inventory constraints. As common in practice, the retailer does not know the consumer's purchase probability at each price and must... View Details
Keywords: Online Marketing; Revenue Management; Revenue; Management; Marketing; Internet and the Web; Price; Mathematical Methods
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Ferreira, Kris J., David Simchi-Levi, and He Wang. "Online Network Revenue Management Using Thompson Sampling." Operations Research 66, no. 6 (November–December 2018): 1586–1602.
  • Winter 2017
  • Article

Why Big Data Isn't Enough

By: Sen Chai and Willy C. Shih
There is a growing belief that sophisticated algorithms can explore huge databases and find relationships independent of any preconceived hypotheses. But in businesses that involve scientific research and technological innovation, this approach is misguided and... View Details
Keywords: Big Data; Science-based; Science; Scientific Research; Data Analytics; Data Science; Data-driven Management; Data Scientists; Technological Innovation; Analytics and Data Science; Mathematical Methods; Theory
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Chai, Sen, and Willy C. Shih. "Why Big Data Isn't Enough." Art. 58227. MIT Sloan Management Review 58, no. 2 (Winter 2017): 57–61.
  • May 2011
  • Teaching Note

Baria Planning Solutions, Inc.: Fixing the Sales Process (Brief Case)

By: Steven C. Wheelwright and William Schmidt
Teaching Note for 4568. View Details
Keywords: Quantitative Analysis; Technology; Operations Management; Product Lines; Manufacturing; Capacity Planning; Production Planning; Information Technology; Production; Mathematical Methods; Performance Capacity; Product Development; Planning; Manufacturing Industry
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Wheelwright, Steven C., and William Schmidt. "Baria Planning Solutions, Inc.: Fixing the Sales Process (Brief Case)." Harvard Business School Teaching Note 114-569, May 2011.
  • May 1993
  • Case

Patient Transfusion Services Lab of Central Blood Bank

By: James L. Heskett
The vice president of the Lab and Clinical Services at Central Blood Bank is faced with the challenge of convincing a hospital to use economical shared patient transfusion testing services. View Details
Keywords: Health Care and Treatment; Quality; Service Operations; Mathematical Methods; Customer Satisfaction; Health Industry
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Heskett, James L. "Patient Transfusion Services Lab of Central Blood Bank." Harvard Business School Case 693-091, May 1993.
  • May 2011
  • Article

Race at the Top: How Companies Shape the Inclusion of African Americans on Their Boards in Response to Institutional Pressures

By: Clayton S. Rose and William T. Bielby
Drawing on institutionalist theory, we conceptualize the racial composition of the boards of directors of large American companies as shaped in response to social and political norms. We use new longitudinal and cross-sectional data to test hypotheses about factors... View Details
Keywords: Leadership; Governing and Advisory Boards; Race; Mathematical Methods; Government and Politics; Public Ownership; United States
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Rose, Clayton S., and William T. Bielby. "Race at the Top: How Companies Shape the Inclusion of African Americans on Their Boards in Response to Institutional Pressures." Social Science Research 40, no. 3 (May 2011): 841–859.
  • 2009
  • Working Paper

Farsighted House Allocation

By: Bettina-Elisabeth Klaus, Flip Klijn and Markus Walzl
In this note we study von Neumann-Morgenstern farsightedly stable sets for Shapley and Scarf (1974) housing markets. Kawasaki (2008) shows that the set of competitive allocations coincides with the unique von Neumann-Morgenstern stable set based on a farsighted version... View Details
Keywords: Microeconomics; Housing; Resource Allocation; Mathematical Methods; Competitive Strategy; Equality and Inequality
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Klaus, Bettina-Elisabeth, Flip Klijn, and Markus Walzl. "Farsighted House Allocation." Harvard Business School Working Paper, No. 09-129, May 2009.
  • 09 Jan 2018
  • Working Paper Summaries

Identifying Sources of Inefficiency in Health Care

Keywords: by Amitabh Chandra and Douglas O. Staiger; Health
  • 1990
  • Chapter

Capital Market Theory and the Pricing of Financial Securities

By: Robert C. Merton
Keywords: Capital Markets; Financial Instruments; Asset Pricing; Mathematical Methods
Citation
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Merton, Robert C. "Capital Market Theory and the Pricing of Financial Securities." In Handbook of Monetary Economics, edited by B. Friedman and F. Hahn. Amsterdam: North-Holland Publishing Company, 1990.
  • July 2008 (Revised May 2009)
  • Case

The Springfield Nor'easters: Maximizing Revenues in the Minor Leagues

By: Frank V. Cespedes, Christopher H. Lovelock and Laura Winig
The marketing director of a new minor-league baseball team must design, conduct, and then interpret survey research to determine optimal ticket pricing that will yield large attendance figures and contribute to the owner's goal of breaking even in the first year of... View Details
Keywords: Market Research; Quantitative Analysis; Consumer Marketing; Pricing Strategy; Price; Marketing Strategy; Mathematical Methods; Product Launch; Sports; Sports Industry; Massachusetts
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Cespedes, Frank V., Christopher H. Lovelock, and Laura Winig. "The Springfield Nor'easters: Maximizing Revenues in the Minor Leagues." Harvard Business School Brief Case 082-510, July 2008. (Revised May 2009.)
  • 2010
  • Chapter

Deferred Acceptance Algorithms: History, Theory, Practice

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 algorithms... View Details
Keywords: Labor; Market Design; Marketplace Matching; Failure; Mathematical Methods
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Roth, Alvin E. "Deferred Acceptance Algorithms: History, Theory, Practice." In Better Living through Economics, edited by John J. Siegfried, 206–222. Harvard University Press, 2010.
  • 1992
  • Chapter

The Stages Theory: A Framework for IT Adoption and Organizational Learning

By: R. L. Nolan
Keywords: Information Technology; Technology Adoption; Organizational Change and Adaptation; Mathematical Methods; Information Technology Industry
Citation
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Nolan, R. L. "The Stages Theory: A Framework for IT Adoption and Organizational Learning." In America's Information Technology Agenda, edited by J. Mechling and C. Rosenberg. Cambridge: John F. Kennedy School of Government, 1992.
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