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Show Results For

  • All HBS Web  (855)
    • News  (79)
    • Research  (639)
    • Events  (14)
    • Multimedia  (4)
  • Faculty Publications  (632)
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  • May 2020
  • Article

Inventory Auditing and Replenishment Using Point-of-Sales Data

By: Achal Bassamboo, Antonio Moreno and Ioannis Stamatopoulos
Spoilage, expiration, damage due to employee/customer handling, employee theft, and customer shoplifting usually are not reflected in inventory records. As a result, records often report phantom inventory, i.e., units of good not available for sale. We derive an... View Details
Keywords: Shelf Availability; Inventory Record Inaccuracy; Optimal Replenishment; Retail Analytics; Performance Effectiveness; Analysis; Mathematical Methods
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Bassamboo, Achal, Antonio Moreno, and Ioannis Stamatopoulos. "Inventory Auditing and Replenishment Using Point-of-Sales Data." Production and Operations Management 29, no. 5 (May 2020): 1219–1231.
  • April 1979
  • Article

Statistical Models of Bond Ratings: A Methodological Inquiry

By: Robert S. Kaplan and Gabriel Urwitz
Keywords: Mathematical Methods; Bonds
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Kaplan, Robert S., and Gabriel Urwitz. "Statistical Models of Bond Ratings: A Methodological Inquiry." Journal of Business (April 1979): 231–261.
  • 13 Mar 2017
  • Research & Ideas

Hiding Products From Customers May Ultimately Boost Sales

sushi restaurant where customers order from a fixed menu.” Next steps The mathematical model in the paper assumes a situation in which a retailer would sell all styles of a product at the same price (e.g., all fall sandals would be priced... View Details
Keywords: by Carmen Nobel; Retail; Fashion
  • 2022
  • Article

Probing GNN Explainers: A Rigorous Theoretical and Empirical Analysis of GNN Explanation Methods.

By: Chirag Agarwal, Marinka Zitnik and Himabindu Lakkaraju
As Graph Neural Networks (GNNs) are increasingly employed in real-world applications, it becomes critical to ensure that the stakeholders understand the rationale behind their predictions. While several GNN explanation methods have been proposed recently, there has... View Details
Keywords: Graph Neural Networks; Explanation Methods; Mathematical Methods; Framework; Theory; Analysis
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Agarwal, Chirag, Marinka Zitnik, and Himabindu Lakkaraju. "Probing GNN Explainers: A Rigorous Theoretical and Empirical Analysis of GNN Explanation Methods." Proceedings of the International Conference on Artificial Intelligence and Statistics (AISTATS) 25th (2022).
  • Article

Beyond Individualized Recourse: Interpretable and Interactive Summaries of Actionable Recourses

By: Kaivalya Rawal and Himabindu Lakkaraju
As predictive models are increasingly being deployed in high-stakes decision-making, there has been a lot of interest in developing algorithms which can provide recourses to affected individuals. While developing such tools is important, it is even more critical to... View Details
Keywords: Predictive Models; Decision Making; Framework; Mathematical Methods
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Rawal, Kaivalya, and Himabindu Lakkaraju. "Beyond Individualized Recourse: Interpretable and Interactive Summaries of Actionable Recourses." Advances in Neural Information Processing Systems (NeurIPS) 33 (2020).
  • October 2020
  • Article

Comparative Statics for Size-Dependent Discounts in Matching Markets

By: David Delacretaz, Scott Duke Kominers and Alexandru Nichifor
We prove a natural comparative static for many-to-many matching markets in which agents’ choice functions exhibit size-dependent discounts: reducing the extent to which some agent discounts additional partners leads to improved outcomes for the agents on the other side... View Details
Keywords: Size-dependent Discounts; Path-independence; Respect For Improvements; Market Design; Mathematical Methods
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Delacretaz, David, Scott Duke Kominers, and Alexandru Nichifor. "Comparative Statics for Size-Dependent Discounts in Matching Markets." Journal of Mathematical Economics 90 (October 2020): 127–131.
  • 1990
  • Chapter

Two-Sided Matching Markets: An Overview of Some Theory and Empirical Evidence

By: A. E. Roth
Keywords: Marketplace Matching; Two-Sided Platforms; Mathematical Methods
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Roth, A. E. "Two-Sided Matching Markets: An Overview of Some Theory and Empirical Evidence." In Game Theory and Applications, edited by T. Ichiishi, A. Neyman, and Y. Tauman, 232–251. San Diego: Academic Press, 1990.
  • September 2019
  • Article

Optimizing Reserves in School Choice: A Dynamic Programming Approach

By: Franklyn Wang, Ravi Jagadeesan and Scott Duke Kominers
We introduce a new model of school choice with reserves in which a social planner is constrained by a limited supply of reserve seats and tries to find an optimal matching according to a social welfare function. We construct the optimal distribution of reserves via a... View Details
Keywords: Matching; Reserves; Dynamic Programming; Marketplace Matching; Mathematical Methods
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Wang, Franklyn, Ravi Jagadeesan, and Scott Duke Kominers. "Optimizing Reserves in School Choice: A Dynamic Programming Approach." Operations Research Letters 47, no. 5 (September 2019): 438–446.
  • 1980
  • Chapter

The Nash Solution as a Model of Rational Bargaining

By: A. E. Roth
Keywords: Mathematical Methods; Negotiation Style
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Roth, A. E. "The Nash Solution as a Model of Rational Bargaining." In Extremal Methods and Systems Analysis, edited by A. V. Fiacco and K.O. Kortanek, 306–311. Springer-Verlag, 1980.
  • Article

Distributionally Robust Optimization and Its Tractable Approximations

By: Joel Goh and Melvyn Sim
In this paper we focus on a linear optimization problem with uncertainties, having expectations in the objective and in the set of constraints. We present a modular framework to obtain an approximate solution to the problem that is distributionally robust and more... View Details
Keywords: Information Technology; Mathematical Methods; Operations
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Goh, Joel, and Melvyn Sim. "Distributionally Robust Optimization and Its Tractable Approximations." Operations Research 58, no. 4 (pt.1) (July–August 2010): 902–917.
  • June 2007
  • Tutorial

Congruence Model Tutorial

By: Christopher Marquis and Alison Comings
Utilizes Beer & Tushman's SMA: Microelectronic Products Division (A) case to explore O'Reilly and Tushman's congruence model. Participants learn about the model through a series of video presentations and become familar with the problems facing SMA through an... View Details
Keywords: Problems and Challenges; Mathematical Methods; Electronics Industry
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"Congruence Model Tutorial." Harvard Business School Tutorial 407-703, June 2007.
  • spring 1973
  • Article

A Stochastic Model for Auditing

By: Robert S. Kaplan
Keywords: Mathematical Methods; Accounting Audits
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Kaplan, Robert S. "A Stochastic Model for Auditing." Journal of Accounting Research 11 (spring 1973): 38–46.
  • September 1984
  • Background Note

Marketing Research: An Overview of Research Methods

By: Robert J. Dolan
Broadly describes the scope of marketing research, and describes experiments, non-survey methods, and internal data. View Details
Keywords: Marketing Strategy; Mathematical Methods
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Dolan, Robert J. "Marketing Research: An Overview of Research Methods." Harvard Business School Background Note 585-039, September 1984.
  • 2004
  • Chapter

Paradoxes of Trust: Empirical and Theoretical Departures from a Traditional Model

By: J. Keith Murnighan, Deepak Malhotra and J. Mark Weber
Keywords: Trust; Mathematical Methods
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Murnighan, J. Keith, Deepak Malhotra, and J. Mark Weber. "Paradoxes of Trust: Empirical and Theoretical Departures from a Traditional Model." In Trust and Distrust in Organizations: Dilemmas and Approaches, edited by Roderick Kramer and Karen Cook. New York: Russell Sage Foundation, 2004.
  • 1977 - 1977
  • Lecture

Applications of Quantitative Models in Managerial Accounting: A State of the Art Survey

By: Robert Kaplan
Keywords: Cost Accounting; Mathematical Methods
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Kaplan, Robert. "Applications of Quantitative Models in Managerial Accounting: A State of the Art Survey." Lecture at the University of Wisconsin Robert Beyer Lecture Series, University of Wisconsin, 1977.
  • August 1983
  • Background Note

Balance of Payments: Accounting and Presentation

By: David B. Yoffie
Provides an overview of balance of payments accounting and analytical presentation of balance of payments data. Includes sample transactions to illustrate the application of the basic accounting principles and definitions of the standard balances. View Details
Keywords: Accounting; Analytics and Data Science; Management; Standards; Mathematical Methods
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Yoffie, David B. "Balance of Payments: Accounting and Presentation." Harvard Business School Background Note 384-005, August 1983.
  • April 12, 2022
  • Article

Evaluation of Individual and Ensemble Probabilistic Forecasts of COVID-19 Mortality in the United States

By: Estee Y. Cramer, Evan L. Ray, Velma K. Lopez, Johannes Bracher, Andrea Brennen, Alvaro J. Castro Rivadeneira, Michael Lingzhi Li and et al.
Short-term probabilistic forecasts of the trajectory of the COVID-19 pandemic in the United States have served as a visible and important communication channel between the scientific modeling community and both the general public and decision-makers. Forecasting models... View Details
Keywords: COVID-19; Forecasting and Prediction; Health Pandemics; Mathematical Methods; Partners and Partnerships
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Cramer, Estee Y., Evan L. Ray, Velma K. Lopez, Johannes Bracher, Andrea Brennen, Alvaro J. Castro Rivadeneira, Michael Lingzhi Li, and et al. "Evaluation of Individual and Ensemble Probabilistic Forecasts of COVID-19 Mortality in the United States." e2113561119. Proceedings of the National Academy of Sciences 119, no. 15 (April 12, 2022). (See full author list here.)
  • 2019
  • Working Paper

Intelligent Artificiality: Algorithmic Microfoundations for Strategic Problem Solving

By: Mihnea Moldoveanu
This paper introduces algorithmic micro-foundations for formulating and solving strategic problems. It shows how the languages and disciplines of theoretical computer science, “artificial intelligence,” and computational complexity theory can be used to devise a set of... View Details
Keywords: Problems and Challenges; Analysis; Strategy; Framework; Management Analysis, Tools, and Techniques; Mathematical Methods
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Moldoveanu, Mihnea. "Intelligent Artificiality: Algorithmic Microfoundations for Strategic Problem Solving." Harvard Business School Working Paper, No. 19-072, January 2019. (Revised February 2019.)
  • October 2005 (Revised February 2010)
  • Background Note

Calculating Free Cash Flows

By: Robin Greenwood and David S. Scharfstein
Outlines the mechanics of calculating free cash flows from historical and proforma financial statements. Focuses on the mechanical process of transforming numbers from financial forecasts into cash flows. View Details
Keywords: Financial Statements; Forecasting and Prediction; Cash Flow; Mathematical Methods
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Greenwood, Robin, and David S. Scharfstein. "Calculating Free Cash Flows." Harvard Business School Background Note 206-028, October 2005. (Revised February 2010.)
  • 23 Jan 2018
  • Working Paper Summaries

Transaction Costs and the Duration of Contracts

Keywords: by Alexander MacKay
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