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  • All HBS Web  (856)
    • News  (79)
    • Research  (639)
    • Events  (14)
    • Multimedia  (4)
  • Faculty Publications  (634)
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  • 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
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Balakrishnan, M., MoonSoo Choi, and Natalie Epstein. "An Empirical Study of Time Allotment and Delays in E-commerce Delivery." Working Paper, December 2021.
  • February 1991 (Revised November 2010)
  • Case

Tennessee Controls: The Strategic Ranking Problem

By: Robert L. Simons and Dale Geiger
Tennessee Controls has instituted a new formal asset acquisition process to rank competing proposals. Judy Starnes, the new division manager, is asked to rank three proposals by using techniques to quantify economic returns, risk, as well as the credibility of the... View Details
Keywords: Capital Budgeting; Governance Controls; Management Systems; Strategic Planning; Mathematical Methods; Electronics Industry
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Simons, Robert L., and Dale Geiger. "Tennessee Controls: The Strategic Ranking Problem." Harvard Business School Case 191-083, February 1991. (Revised November 2010.)
  • 2009
  • Working Paper

Altruistic Dynamic Pricing with Customer Regret

By: Julio J. Rotemberg
A model is considered where firms internalize the regret costs that consumers experience when they see an unexpected price change. Regret costs are assumed to be increasing in the size of price changes and this can explain why the size of price increases is less... View Details
Keywords: Inflation and Deflation; Price; Marketing; Consumer Behavior; Mathematical Methods
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Rotemberg, Julio J. "Altruistic Dynamic Pricing with Customer Regret." NBER Working Paper Series, No. 14933, April 2009.
  • Article

Gross National Happiness As an Answer to the Easterlin Paradox?

By: Rafael Di Tella and Robert MacCulloch
The Easterlin Paradox refers to the fact that happiness data are typically stationary in spite of considerable increases in income. This amounts to a rejection of the hypothesis that current income is the only argument in the utility function. We find that the... View Details
Keywords: Wealth and Poverty; Happiness; Employment; Income; Mathematical Methods; Welfare
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Di Tella, Rafael, and Robert MacCulloch. "Gross National Happiness As an Answer to the Easterlin Paradox?" Journal of Development Economics 86, no. 1 (April 2008).
  • 2008
  • Working Paper

On Best-Response Bidding in GSP Auctions

By: Matthew Cary, Aparna Das, Benjamin Edelman, Ioannis Giotis, Kurtis Heimerl, Anna R. Karlin, Claire Mathieu and Michael Schwarz
How should players bid in keyword auctions such as those used by Google, Yahoo! and MSN? We model ad auctions as a dynamic game of incomplete information, so we can study the convergence and robustness properties of various strategies. In particular, we consider... View Details
Keywords: Online Advertising; Auctions; Bids and Bidding; Game Theory; Mathematical Methods; Competitive Strategy
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Cary, Matthew, Aparna Das, Benjamin Edelman, Ioannis Giotis, Kurtis Heimerl, Anna R. Karlin, Claire Mathieu, and Michael Schwarz. "On Best-Response Bidding in GSP Auctions." Harvard Business School Working Paper, No. 08-056, January 2008.
  • September 1972 (Revised February 1984)
  • Case

Blanchard Importing and Distribution Co., Inc.

By: Paul W. Marshall
Illustration of the two main types of errors resulting from use of the economic order quantity (EOQ) as a tool in production scheduling. Designed to permit class discussion to begin with a consideration of one common type of mistake, errors in calculation of the EOQ... View Details
Keywords: Mathematical Methods; Production; Debates; Management Analysis, Tools, and Techniques
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Marshall, Paul W. "Blanchard Importing and Distribution Co., Inc." Harvard Business School Case 673-033, September 1972. (Revised February 1984.)
  • March 2022
  • Article

Targeting High Ability Entrepreneurs Using Community Information: Mechanism Design in the Field

By: Reshmaan Hussam, Natalia Rigol and Benjamin N. Roth
Identifying high-growth microentrepreneurs in low-income countries remains a challenge due to a scarcity of verifiable information. With a cash grant experiment in India we demonstrate that community knowledge can help target high-growth microentrepreneurs; while the... View Details
Keywords: Microentrepreneurs; Community Information; Field Experiment; Loans; Entrepreneurship; Developing Countries and Economies; Financing and Loans; Information; Mathematical Methods; India
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Hussam, Reshmaan, Natalia Rigol, and Benjamin N. Roth. "Targeting High Ability Entrepreneurs Using Community Information: Mechanism Design in the Field." American Economic Review 112, no. 3 (March 2022): 861–898.
(Online Appendix with Corrigendum—Thanks to Isabella Masetto, Diego Ubfal, and The Institute for Replication for identifying a minor coding error in the production of Table 4.)
  • January 2002
  • Background Note

Note on Business Model Analysis for the Entrepreneur

By: Richard G. Hamermesh, Paul W. Marshall and Taslim Pirmohamed
Describes the primary elements and defining characteristics of a company's business model from the perspective of an entrepreneur. Introduces several analytic techniques and provides illustrative examples of business models to support the analytic framework presented. View Details
Keywords: Business Model; Entrepreneurship; Framework; Mathematical Methods; Opportunities; Perspective
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Hamermesh, Richard G., Paul W. Marshall, and Taslim Pirmohamed. "Note on Business Model Analysis for the Entrepreneur." Harvard Business School Background Note 802-048, January 2002.
  • April 1999 (Revised May 2000)
  • Case

Compaq Computer: Intel Inside?

By: David E. Bell and Ann Leamon
Presents the results of quantitative and qualitative market research on the possible acceptance of a non-Intel processor in Compaq Computer's consumer notebook line. If the low-priced, non-Intel notebook is a success, the company will maintain or increase its 45% share... View Details
Keywords: Distribution; Production; Success; Performance Evaluation; Mathematical Methods; Competition; Computer Industry
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Bell, David E., and Ann Leamon. "Compaq Computer: Intel Inside?" Harvard Business School Case 599-061, April 1999. (Revised May 2000.)
  • 2024
  • Working Paper

The New Digital Divide

By: Mayana Pereira, Shane Greenstein, Raffaella Sadun, Prasanna Tambe, Lucia Ronchi Darre, Tammy Glazer, Allen Kim, Rahul Dodhia and Juan Lavista Ferres
We build and analyze new metrics of digital usage that leverage telemetry data collected by Microsoft during operating system updates across forty million Windows devices in U.S. households. These measures of US household digital usage are much more comprehensive than... View Details
Keywords: Mathematical Methods; Measurement and Metrics; Geographic Location; Behavior; Technology Adoption; Demographics
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Pereira, Mayana, Shane Greenstein, Raffaella Sadun, Prasanna Tambe, Lucia Ronchi Darre, Tammy Glazer, Allen Kim, Rahul Dodhia, and Juan Lavista Ferres. "The New Digital Divide." NBER Working Paper Series, No. 32932, September 2024.
  • August 1993 (Revised April 1994)
  • Case

Flanders of Springfield

By: Arthur Schleifer Jr.
Flanders is a catalog merchandiser. Various decisions on catalog distribution policy, ordering and inventory policy, and catalog format design are considered. This was a final examination, and serves as a review for a number of topics in the course. View Details
Keywords: Decisions; Policy; Distribution; Product Design; Supply Chain; Mathematical Methods; Consumer Products Industry
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Schleifer, Arthur, Jr. "Flanders of Springfield." Harvard Business School Case 894-005, August 1993. (Revised April 1994.)
  • October 1997 (Revised May 1998)
  • Case

Decision Making at the Top: The All-Star Sports Catalog Division

By: David A. Garvin and Michael Roberto
Describes a senior management team's strategic decision-making process. The division president faces three options for redesigning the process to address several key concerns. The president has extensive quantitative and qualitative data about the process to guide him... View Details
Keywords: Decision Choices and Conditions; Management Teams; Performance Improvement; Planning; Mathematical Methods; Strategy
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Garvin, David A., and Michael Roberto. "Decision Making at the Top: The All-Star Sports Catalog Division." Harvard Business School Case 398-061, October 1997. (Revised May 1998.)
  • 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.
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