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  • 2007
  • Working Paper

Mental Accounting and Small Windfalls: Evidence from an Online Grocer

By: Katherine L. Milkman, John Beshears, Todd Rogers and Max H. Bazerman
We study the effect of small windfalls on consumer spending decisions by examining the purchasing behavior of a sample of online grocery shoppers over the course of a year. We compare the purchases customers make when redeeming a $10-off coupon they received from their... View Details
Keywords: Spending; Consumer Behavior; Mathematical Methods; Food and Beverage Industry; Retail Industry
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Milkman, Katherine L., John Beshears, Todd Rogers, and Max H. Bazerman. "Mental Accounting and Small Windfalls: Evidence from an Online Grocer." Harvard Business School Working Paper, No. 08-024, September 2007. (Revised March 2008.)
  • 24 Jun 2008
  • First Look

First Look: June 24, 2008

University Press, forthcoming Abstract This chapter assesses contemporary qualitative research on Southeast Asia and its contribution to the field of political economy. It focuses especially on the political... View Details
Keywords: Martha Lagace
  • 18 Sep 2019
  • Working Paper Summaries

Using Models to Persuade

Keywords: by Joshua Schwartzstein and Adi Sunderam
  • September 1993 (Revised August 2011)
  • Exercise

ExtendSim® Simulation Exercises in Process Analysis (A)

By: Roy D. Shapiro
First set of exercises meant to be used with ExtendSim, a simulation system created by Imagine That, Inc. of San Jose, California. These exercises allow students to investigate the impact of variable processing times on the performance of simple in-line processes.... View Details
Keywords: Operations; Business Processes; Performance; Mathematical Methods
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Shapiro, Roy D. "ExtendSim® Simulation Exercises in Process Analysis (A)." Harvard Business School Exercise 694-039, September 1993. (Revised August 2011.)
  • 1 Dec 1998
  • Conference Presentation

An Introduction to Mixed Models in SAS

By: William B. Simpson
Keywords: Applications and Software; Mathematical Methods
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Simpson, William B. "An Introduction to Mixed Models in SAS." Boston Area SAS Users Group, Boston, MA, December 1, 1998.
  • 2023
  • Working Paper

Design-Based Inference for Multi-arm Bandits

By: Dae Woong Ham, Iavor I. Bojinov, Michael Lindon and Martin Tingley
Multi-arm bandits are gaining popularity as they enable real-world sequential decision-making across application areas, including clinical trials, recommender systems, and online decision-making. Consequently, there is an increased desire to use the available... View Details
Keywords: Analytics and Data Science; Mathematical Methods
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Ham, Dae Woong, Iavor I. Bojinov, Michael Lindon, and Martin Tingley. "Design-Based Inference for Multi-arm Bandits." Harvard Business School Working Paper, No. 24-056, March 2024.
  • 2023
  • Working Paper

Distributionally Robust Causal Inference with Observational Data

By: Dimitris Bertsimas, Kosuke Imai and Michael Lingzhi Li
We consider the estimation of average treatment effects in observational studies and propose a new framework of robust causal inference with unobserved confounders. Our approach is based on distributionally robust optimization and proceeds in two steps. We first... View Details
Keywords: AI and Machine Learning; Mathematical Methods
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Bertsimas, Dimitris, Kosuke Imai, and Michael Lingzhi Li. "Distributionally Robust Causal Inference with Observational Data." Working Paper, February 2023.
  • 2023
  • Article

On Minimizing the Impact of Dataset Shifts on Actionable Explanations

By: Anna P. Meyer, Dan Ley, Suraj Srinivas and Himabindu Lakkaraju
The Right to Explanation is an important regulatory principle that allows individuals to request actionable explanations for algorithmic decisions. However, several technical challenges arise when providing such actionable explanations in practice. For instance, models... View Details
Keywords: Mathematical Methods; Analytics and Data Science
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Meyer, Anna P., Dan Ley, Suraj Srinivas, and Himabindu Lakkaraju. "On Minimizing the Impact of Dataset Shifts on Actionable Explanations." Proceedings of the Conference on Uncertainty in Artificial Intelligence (UAI) 39th (2023): 1434–1444.
  • 2017
  • Working Paper

Investment Timing with Costly Search for Financing

By: Samuel Antill
I develop a dynamic model of investment timing in which firms must first choose when to search for external financing. Search is costly and the arrival of investors is uncertain, leading to delay in financing and investment. Depending on parameters, my model can... View Details
Keywords: Real Options; Search And Bargaining; Time-varying Financial Conditions; Investment; Venture Capital; Mathematical Methods
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Antill, Samuel. "Investment Timing with Costly Search for Financing." Working Paper, December 2017.
  • January 2011
  • Teaching Note

AIC Netbooks: Optimizing Product Assembly (Brief Case)

By: Steven C. Wheelwright and Sunru Yong
Teaching Note for 4245. View Details
Keywords: Performance Management; Quantitative Analysis; Manufacturing; Production Planning; Production Management; Production; Mathematical Methods; Performance Evaluation; Planning; Manufacturing Industry
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Wheelwright, Steven C., and Sunru Yong. "AIC Netbooks: Optimizing Product Assembly (Brief Case)." Harvard Business School Teaching Note 114-246, January 2011.
  • 1981
  • Chapter

Productivity Measurement at the Level of the Firm: An Application within the Service Industry

By: Hirotaka Takeuchi
Keywords: Performance Productivity; Measurement and Metrics; Mathematical Methods; Service Industry
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Takeuchi, Hirotaka. "Productivity Measurement at the Level of the Firm: An Application within the Service Industry." In Productivity Analysis at the Firm Level, edited by Ali Dogramaci and Nabil R. Adam. Martinus Nijhoff Publishers, 1981.
  • November 1989 (Revised March 1992)
  • Background Note

Concept Testing

By: Robert J. Dolan
Describes concept testing products. Presents guidelines for effective design, execution, and interpretation of test procedures. Discusses limitations of these techniques and sets out the situations for which they are appropriate. View Details
Keywords: Marketing; Mathematical Methods; Forecasting and Prediction
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Dolan, Robert J. "Concept Testing." Harvard Business School Background Note 590-063, November 1989. (Revised March 1992.)
  • June 2008
  • Supplement

Marie Trellu-Kane at Unis-Cite

By: Michel Anteby and Julie Battilana
Video supplement to Marie Trellu-Kane at Unis-Cite (A). View Details
Keywords: Social Enterprise; Organizational Design; Mathematical Methods; Paris
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Anteby, Michel, and Julie Battilana. "Marie Trellu-Kane at Unis-Cite." Harvard Business School Video Supplement 408-709, June 2008.
  • 1996
  • Thesis

Limits on Interest Rate Rules in Macroeconomic Models Governed by Price Stickiness and Rational Expectations

By: William R. Kerr
Keywords: Interest Rates; Macroeconomics; Mathematical Methods
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Kerr, William R. "Limits on Interest Rate Rules in Macroeconomic Models Governed by Price Stickiness and Rational Expectations." Thesis, University of Virginia, 1996.
  • August 1991
  • Background Note

Industrial Market Research: Beta Test Site Management

By: Robert J. Dolan
Describes the role of BETA tests in the new product development process and presents guidelines for effective test program development. View Details
Keywords: Product Development; Mathematical Methods; Marketing
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Dolan, Robert J. "Industrial Market Research: Beta Test Site Management." Harvard Business School Background Note 592-010, August 1991.
  • August 2022
  • Article

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: Supply Contracts; Intermediate Goods; Switching Costs; 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." American Economic Journal: Microeconomics 14, no. 3 (August 2022): 164–212.
  • 2009
  • Working Paper

Smith and Rawls Share a Room: Stability and Medians

By: Bettina-Elisabeth Klaus and Flip Klijn
We consider one-to-one, one-sided matching (roommate) problems in which agents can either be matched as pairs or remain single. We introduce a so-called bi-choice graph for each pair of stable matchings and characterize its structure. Exploiting this structure we... View Details
Keywords: Fairness; One-Sided Platforms; Two-Sided Platforms; Marketplace Matching; Mathematical Methods; Balance and Stability
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Klaus, Bettina-Elisabeth, and Flip Klijn. "Smith and Rawls Share a Room: Stability and Medians." Harvard Business School Working Paper, No. 09-111, March 2009.
  • 2008
  • Chapter

Matching and Market Design

By: Muriel Niederle, Alvin E. Roth and Tayfun Sonmez
Matching is the part of economics concerned with who transacts with whom and how. Models of matching, starting with the Gale-Shapley deferred acceptance algorithm, have been particularly useful in studying labour markets and in helping design clearinghouses to fix... View Details
Keywords: Market Design; Marketplace Matching; Outcome or Result; Mathematical Methods
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Niederle, Muriel, Alvin E. Roth, and Tayfun Sonmez. "Matching and Market Design." In The New Palgrave Dictionary of Economics. 2nd ed. Edited by Steven Derlauf and Larry Blume. Hampshire, U.K.: Palgrave Macmillan, 2008.
  • January 2003 (Revised February 2011)
  • Tool

Business Analysis and Valuation Model (Version 5)

By: Paul M. Healy, Krishna G. Palepu and Jonathan Barnett
Once you enter company financial statements, this software enables you to standardize them to a common format, make any needed adjustments to the company's accounting, and make assumptions about the company's future performance. The model then provides financial ratios... View Details
Keywords: Financial Statements; Standards; Mathematical Methods; Valuation
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"Business Analysis and Valuation Model (Version 5)." Harvard Business School Tool 103-701, January 2003. (Revised February 2011.)
  • Working Paper

The Long-Run Dynamics of Electricity Demand: Evidence from Municipal Aggregation

By: Tatyana Deryugina, Alexander MacKay and Julian Reif
Economic theory suggests that demand is more elastic in the long run relative to the short run, but evidence on the empirical relevance of this phenomenon is scarce. We study the dynamics of residential electricity demand by exploiting price variation arising from a... View Details
Keywords: Energy; Demand and Consumers; Price; Policy; Mathematical Methods
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Deryugina, Tatyana, Alexander MacKay, and Julian Reif. "The Long-Run Dynamics of Electricity Demand: Evidence from Municipal Aggregation." NBER Working Paper Series, No. 23483, October 2017.
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