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1992
Chapter

Thinking Coalitionally: Party Arithmetic, Process Opportunism, and Strategic Sequencing

By: James K. Sebenius and David Lax

Keywords: Alliances; Negotiation Process; Mathematical Methods; Strategy

2024
Working Paper

Anytime-Valid Inference in Linear Models and Regression-Adjusted Causal Inference

By: Michael Lindon, Dae Woong Ham, Martin Tingley and Iavor I. Bojinov

Linear regression adjustment is commonly used to analyze randomized controlled experiments due to its efficiency and robustness against model misspecification. Current testing and interval estimation procedures leverage the asymptotic distribution of such estimators to... View Details

Keywords: Mathematical Methods; Analytics and Data Science

2023
Article

Verifiable Feature Attributions: A Bridge between Post Hoc Explainability and Inherent Interpretability

By: Usha Bhalla, Suraj Srinivas and Himabindu Lakkaraju

With the increased deployment of machine learning models in various real-world applications, researchers and practitioners alike have emphasized the need for explanations of model behaviour. To this end, two broad strategies have been outlined in prior literature to... View Details

Keywords: AI and Machine Learning; Mathematical Methods

May 2020
Article

Scalable Holistic Linear Regression

By: Dimitris Bertsimas and Michael Lingzhi Li

We propose a new scalable algorithm for holistic linear regression building on Bertsimas & King (2016). Specifically, we develop new theory to model significance and multicollinearity as lazy constraints rather than checking the conditions iteratively. The resulting... View Details

Keywords: Mathematical Methods; Analytics and Data Science

March 2022
Article

Sensitivity Analysis of Agent-based Models: A New Protocol

By: Emanuele Borgonovo, Marco Pangallo, Jan Rivkin, Leonardo Rizzo and Nicolaj Siggelkow

Agent-based models (ABMs) are increasingly used in the management sciences. Though useful, ABMs are often critiqued: it is hard to discern why they produce the results they do and whether other assumptions would yield similar results. To help researchers address such... View Details

Keywords: Agent-based Modeling; Sensitivity Analysis; Design Of Experiments; Total Order Sensitivity Indices; Organizations; Behavior; Decision Making; Mathematical Methods

November 1990 (Revised August 1996)
Background Note

Sampling and Statistical Inference

By: Arthur Schleifer Jr.

An introduction to sampling and statistical inference that covers the main concepts (confidence intervals, tests of statistical significance, choice of sample size) that are needed in making inferences about a population mean or percent. Includes discussion of problems... View Details

Keywords: Mathematical Methods; Forecasting and Prediction; Demographics

January 2008 (Revised April 2008)
Teaching Note

Pilgrim Bank (C): Statistics Review with Data Desk

By: Frances X. Frei

Teaching Note for [602103]. View Details

Keywords: Banks and Banking; Mathematical Methods; Banking Industry

2008
Working Paper

Unravelling in Two-Sided Matching Markets and Similarity of Preferences

By: Hanna Halaburda

This paper investigates the causes and welfare consequences of unravelling in two-sided matching markets. It shows that similarity of preferences is an important factor driving unravelling. In particular, it shows that under the ex-post stable mechanism (the mechanism... View Details

Keywords: Market Participation; Two-Sided Platforms; Marketplace Matching; Mathematical Methods

May 2007 (Revised March 2008)
Background Note

Basic Techniques for the Analysis of Customer Information Using Excel 2003: A Step-by-Step Approach

By: Francisco de Asis Martinez-Jerez

Provides a set of easy, step-by-step guides for some analytical techniques that are useful in the analysis of cases discussed in the course "Competing and Winning Through Customer Information (CWCI)". The instructions that follow use datasets from three of the cases in... View Details

Keywords: Data and Data Sets; Management Analysis, Tools, and Techniques; Mathematical Methods

2009
Chapter

Identity as a Variable

By: Rawi Abdelal, Yoshiko M. Herrera, Alastair Iain Johnston and Rose McDermott

Keywords: Identity; Measurement and Metrics; Mathematical Methods

June 1999
Article

Projections onto Efficient Frontiers: Theoretical and Computational Extensions to DEA

By: F. Frei and P. Harker

Keywords: Mathematical Methods; Forecasting and Prediction; Theory

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May 1990
Background Note

Conjoint Analysis: A Manager's Guide

By: Robert J. Dolan

Presents a non-technical description of the conjoint analysis methodology. Discusses the process by which such a study is done and cites areas of application. View Details

Keywords: Marketing; Mathematical Methods; Forecasting and Prediction

2002
Chapter

Contributions of Applied Systems Analysis to International Negotiation

By: Howard Raiffa

Keywords: Negotiation; International Relations; Mathematical Methods

March 2005
Article

Sovereign Debt As a Contingent Claim: A Quantitative Approach

By: Laura Alfaro and Fabio Kanczuk

We construct a dynamic equilibrium model with contingent service and adverse selection to quantitatively study sovereign debt. In the model, benefits of defaulting are tempered by higher future interest rates. For a wide set of parameters, the only equilibrium is one... View Details

Keywords: Sovereign Finance; Borrowing and Debt; Interest Rates; Balance and Stability; Risk and Uncertainty; Risk Management; Mathematical Methods; Management Style; Segmentation; Debt Securities; Banking Industry

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05 Dec 2017
Research & Ideas

What We've Learned from 101 Entrepreneurs in Emerging Markets

not just relying on the printed word—why can we not do research by referring to video, sound, and the like? There is so much mathematics devoted today to extraction of quantitative data from all sorts of data sources that a move in this... View Details

Keywords: by Sean Silverthorne

18 Oct 2006
Research & Ideas

New at the Helm: A Talk with HBS Dean Light

application aside and asked whether I'd like to get a doctorate instead," recalls Light. After discussions during a visit to the campus, Light agreed to enter a new doctoral program in decision and control theory, a joint program between HBS and Harvard's... View Details

Keywords: by Roger Thompson; Education

July 2010
Supplement

Marketing Analysis Toolkit: Customer Lifetime Value Analysis (CW)

By: Thomas J. Steenburgh and Jill Avery

Customers are increasingly being viewed as assets that bring value to the firm. Customer lifetime value is a metric which allows managers to understand the overall value of their customer base and relate it to three customer strategies firms employ: asset acquisition -... View Details

Keywords: Competency and Skills; Customer Relationship Management; Customer Value and Value Chain; Decisions; Framework; Management Practices and Processes; Marketing; Marketing Strategy; Strategic Planning; Mathematical Methods; Value

2010
Working Paper

The Unbundling of Advertising Agency Services: An Economic Analysis

By: Mohammad Arzaghi, Ernst R. Berndt, James C. Davis and Alvin J. Silk

We address a longstanding puzzle surrounding the unbundling of services occurring over several decades in the U.S. advertising agency industry: What accounts for the shift from bundling to unbundling of services and the slow pace of change? Using Evans and Salinger's... View Details

Keywords: Advertising; Change; Forecasting and Prediction; Cost; Price; Analytics and Data Science; Surveys; Marketing Strategy; Media; Service Operations; Agency Theory; Mathematical Methods; Advertising Industry; United States

Article

Mitigating Bias in Adaptive Data Gathering via Differential Privacy

By: Seth Neel and Aaron Leon Roth

Data that is gathered adaptively—via bandit algorithms, for example—exhibits bias. This is true both when gathering simple numeric valued data—the empirical means kept track of by stochastic bandit algorithms are biased downwards—and when gathering more complicated... View Details

Keywords: Bandit Algorithms; Bias; Analytics and Data Science; Mathematical Methods; Theory

June 2005 (Revised March 2006)
Case

E Ink in 2005

By: David B. Yoffie and Barbara Mack

Explores the challenges of commercializing a bleeding-edge technology. After seven years, E Ink has spent more than $100 million to commercialize electronic ink. With business momentum picking up, but resources running out, the case examines the key trade-offs in... View Details

Keywords: Technological Innovation; Commercialization; Mathematical Methods; Consumer Products Industry; Technology Industry

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