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Publications

Publications

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  • All HBS Web  (837)
    • News  (79)
    • Research  (640)
    • Events  (14)
    • Multimedia  (4)
  • Faculty Publications  (632)

Show Results For

  • All HBS Web  (837)
    • News  (79)
    • Research  (640)
    • Events  (14)
    • Multimedia  (4)
  • Faculty Publications  (632)
← Page 26 of 837 Results →
  • May 2000
  • Article

Maxmin Expected Utility over Savage Acts with a Set of Priors

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. This characterization complements the original axiomatizations of MMEU developed in a... View Details
Keywords: Uncertainty Aversion; Ambiguity; Expected Utility; Set Of Priors; Knightian Uncertainty; Decision Making; Game Theory; Risk and Uncertainty; Mathematical Methods
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Casadesus-Masanell, Ramon, Peter Klibanoff, and Emre Ozdenoren. "Maxmin Expected Utility over Savage Acts with a Set of Priors." Journal of Economic Theory 92, no. 1 (May 2000): 35–65.
  • September 2025
  • Article

Sticky Capital Controls

By: Miguel Acosta-Henao, Laura Alfaro and Andrés Fernández
There is much ongoing debate on the merits of capital controls as effective policy instruments. The differing perspectives are due in part to a lack of empirical studies that look at the intensive margin of controls, which in turn has prevented a quantitative... View Details
Keywords: Capital Controls; Macroprudential Policies; Stickiness; Intensive; (S, S) Costs; Capital; Management; Macroeconomics; Governance Controls; Mathematical Methods
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Acosta-Henao, Miguel, Laura Alfaro, and Andrés Fernández. "Sticky Capital Controls." Art. 104104. Journal of International Economics 157 (September 2025).
  • July 2012
  • Article

Discrete Choice Cannot Generate Demand That Is Additively Separable in Own Price

By: Sonia Jaffe and Scott Duke Kominers
We show that in a unit demand discrete choice framework with at least three goods, demand cannot be additively separable in own price. This result sharpens the analogous result of Jaffe and Weyl (2010) in the case of linear demand and has implications for testing of... View Details
Keywords: Discrete Choice; Unit Demand; Separable Demand; Linear Demand; Demand and Consumers; Market Design; Mathematical Methods; Economics
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Jaffe, Sonia, and Scott Duke Kominers. "Discrete Choice Cannot Generate Demand That Is Additively Separable in Own Price." Economics Letters 116, no. 1 (July 2012): 129–132.
  • 2004
  • Chapter

The Harrod-Domar Model

By: Diego Comin
Keywords: Mathematical Methods; Economic Growth; Development Economics; Capital
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Comin, Diego. "The Harrod-Domar Model." In An Eponymous Dictionary of Economics, edited by C. R. Braun and Julio Segura. Edward Elgar Publishing, 2004.
  • 2022
  • Article

Which Explanation Should I Choose? A Function Approximation Perspective to Characterizing Post hoc Explanations

By: Tessa Han, Suraj Srinivas and Himabindu Lakkaraju
A critical problem in the field of post hoc explainability is the lack of a common foundational goal among methods. For example, some methods are motivated by function approximation, some by game theoretic notions, and some by obtaining clean visualizations. This... View Details
Keywords: Mathematical Methods; Decision Choices and Conditions; Analytics and Data Science
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Han, Tessa, Suraj Srinivas, and Himabindu Lakkaraju. "Which Explanation Should I Choose? A Function Approximation Perspective to Characterizing Post hoc Explanations." Advances in Neural Information Processing Systems (NeurIPS) (2022). (Best Paper Award, International Conference on Machine Learning (ICML) Workshop on Interpretable ML in Healthcare.)
  • 2022
  • Article

Fairness via Explanation Quality: Evaluating Disparities in the Quality of Post hoc Explanations

By: Jessica Dai, Sohini Upadhyay, Ulrich Aivodji, Stephen Bach and Himabindu Lakkaraju
As post hoc explanation methods are increasingly being leveraged to explain complex models in high-stakes settings, it becomes critical to ensure that the quality of the resulting explanations is consistently high across all subgroups of a population. For instance, it... View Details
Keywords: Prejudice and Bias; Mathematical Methods; Research; Analytics and Data Science
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Dai, Jessica, Sohini Upadhyay, Ulrich Aivodji, Stephen Bach, and Himabindu Lakkaraju. "Fairness via Explanation Quality: Evaluating Disparities in the Quality of Post hoc Explanations." Proceedings of the AAAI/ACM Conference on Artificial Intelligence, Ethics, and Society (2022): 203–214.
  • August 2019
  • Article

When and How to Diversify—A Multicategory Utility Model for Personalized Content Recommendation

By: Yicheng Song, Nachiketa Sahoo and Elie Ofek
Sometimes we desire change, a break from the same or an opportunity to fulfill different aspects of our needs. Noting that consumers seek variety, several approaches have been developed to diversify items recommended by personalized recommender systems. However,... View Details
Keywords: Recommender Systems; Personalization; Recommendation Diversity; Variety Seeking; Collaborative Filtering; Consumer Utility Models; Digital Media; Clickstream Analysis; Learning-to-rank; Consumer Behavior; Media; Customization and Personalization; Strategy; Mathematical Methods
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Song, Yicheng, Nachiketa Sahoo, and Elie Ofek. "When and How to Diversify—A Multicategory Utility Model for Personalized Content Recommendation." Management Science 65, no. 8 (August 2019): 3737–3757.
  • 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
Keywords: Ethics; Contracts; Agency Theory; Mathematical Methods; Behavior; Trust
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Casadesus-Masanell, Ramon, and Daniel F. Spulber. "Agency Revisited." Harvard Business School Working Paper, No. 10-082, March 2010.
  • June 2009
  • Teaching Note

Stryker Corporation: In-sourcing PCBs (TN)

By: Timothy A. Luehrman
Teaching Note for [207121]. View Details
Keywords: Investment; Capital Budgeting; Valuation; Investment Return; Mathematical Methods; Medical Devices and Supplies Industry
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Luehrman, Timothy A. "Stryker Corporation: In-sourcing PCBs (TN)." Harvard Business School Teaching Note 209-156, June 2009.
  • 2008
  • Working Paper

Allocating Marketing Resources

By: Sunil Gupta and Thomas J. Steenburgh
Marketing is essential for the organic growth of a company. Not surprisingly, firms spend billions of dollars on marketing. Given these large investments, marketing managers have the responsibility to optimally allocate these resources and demonstrate that these... View Details
Keywords: Investment Return; Resource Allocation; Marketing; Demand and Consumers; Mathematical Methods
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Gupta, Sunil, and Thomas J. Steenburgh. "Allocating Marketing Resources." Harvard Business School Working Paper, No. 08-069, February 2008.
  • 2008
  • Chapter

Allocating Marketing Resources

By: Sunil Gupta and Thomas J. Steenburgh

Companies spend billions of dollars on marketing every year because it is essential to organic growth. Given these large investments, marketing managers have the responsibility to optimally allocate resources and to demonstrate that their investments generate... View Details

Keywords: Investment Return; Resource Allocation; Marketing; Demand and Consumers; Mathematical Methods
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Gupta, Sunil, and Thomas J. Steenburgh. "Allocating Marketing Resources." In Marketing Mix Decisions: New Perspectives and Practices, edited by Roger A. Kerin and Rob O'Regan. Chicago, IL: American Marketing Association, 2008.
  • 2008
  • Working Paper

Minimally Altruistic Wages and Unemployment in a Matching Model

By: Julio J. Rotemberg
This paper presents a model in which firms recruit both unemployed and employed workers by posting vacancies. Firms act monopsonistically and set wages to retain their existing workers as well as to attract new ones. The model differs from Burdett and Mortensen (1998)... View Details
Keywords: Retention; Selection and Staffing; Employment; Wages; Mathematical Methods
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Rotemberg, Julio J. "Minimally Altruistic Wages and Unemployment in a Matching Model." NBER Working Paper Series, No. 13755, February 2008.
  • Profile

Mike Watitwa

to good schools, some of which were well beyond his means. He also had an unrivalled work ethic. He would wake up early in the morning and till the farm for about an hour before preparing to go to the nearby high school where he was a View Details
  • 01 Jun 2017
  • News

Ask the Expert: On the Fly

(above: photo by Getty Images/Patrick Foto) A mathematics major, Don Carty (MBA 1971) has always seen the airline business as a huge puzzle, with the equation involving inventory and pricing, cruising allocations, weather, and holiday... View Details
Keywords: Julia Hanna
  • 1972
  • Chapter

Sociotechnical and Cognitive Models

By: Stephen Allen and John J. Gabarro
Keywords: Cognition and Thinking; Mathematical Methods; Society; Technology
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Allen, Stephen, and John J. Gabarro. "Sociotechnical and Cognitive Models." In Organization Planning, edited by Jay W. Lorsch and Paul R. Lawrence. Homewood, IL: Richard D. Irwin, 1972.
  • January 2008 (Revised April 2008)
  • Teaching Note

Pilgrim Bank (B): Statistics Review with Data Desk

By: Frances X. Frei
Teaching Note for 602095. View Details
Keywords: Banks and Banking; Mathematical Methods; Banking Industry
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Frei, Frances X. "Pilgrim Bank (B): Statistics Review with Data Desk." Harvard Business School Teaching Note 608-096, January 2008. (Revised April 2008.)
  • September 1993 (Revised August 2011)
  • Exercise

ExtendSim® Simulation Exercises in Process Analysis (B)

By: Roy D. Shapiro
Second set of exercises meant to be used with ExtendSim, a simulation package created by Imagine That, Inc. of San Jose, California, that allows students to investigate the impact of adding buffers to simple in-line processes with uncertain processing times. View Details
Keywords: Measurement and Metrics; Operations; Production; Mathematical Methods
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Shapiro, Roy D. "ExtendSim® Simulation Exercises in Process Analysis (B)." Harvard Business School Exercise 694-040, September 1993. (Revised August 2011.)
  • 2006
  • Chapter

Interorganizational Cooperation between Not-for-profit Organizations: A Relational Analysis

By: Julie Battilana and Metin Sengul
Keywords: Nonprofit Organizations; Cooperation; Mathematical Methods
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Battilana, Julie, and Metin Sengul. "Interorganizational Cooperation between Not-for-profit Organizations: A Relational Analysis." In Relational Perspectives in Organization Studies: A Research Companion, edited by Olympia Kyriakidou and Mustafa F. Özbilgin, 197–220. Cheltenham, U.K.: Edward Elgar Publishing, 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.
  • May–June 2025
  • 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 73, no. 3 (May–June 2025): 1581–1597.
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