Publications

1980
Article

Consumer Impulse Purchase and Credit Card Usage: An Empirical Examination Using the Log Linear Model

By: Rohit Deshpandé and S. Krishnan

Most of the work in impulse purchase behavior has investigated the association of socioeconomic variables and unplanned purchases with equivocal results. This paper examines the interrelationship between impulse purchases, credit card usage, cost of items bought, and... View Details

Keywords: Consumer Behavior; Mathematical Methods; Credit Cards; Income

May 2010
Article

Bye Bye Bundles: The Unbundling of Music in Digital Channels

By: Anita Elberse

Fueled by digital distribution, unbundling is prevalent in many information industries. What is the effect of this unbundling on sales? And what bundle characteristics drive this effect? I empirically examine these questions in the context of the music industry, using... View Details

Keywords: Unbundling; Bundling; Digital Distribution; System-of-equations Modeling; Sales; Distribution Channels; Framework; Mathematical Methods; Revenue; Reputation; Internet and the Web; System; E-commerce; Information Industry; Music Industry

14 Aug 2017
Conference Presentation

A Convex Framework for Fair Regression

By: Richard Berk, Hoda Heidari, Shahin Jabbari, Matthew Joseph, Michael J. Kearns, Jamie Morgenstern, Seth Neel and Aaron Roth

We introduce a flexible family of fairness regularizers for (linear and logistic) regression problems. These regularizers all enjoy convexity, permitting fast optimization, and they span the range from notions of group fairness to strong individual fairness. By varying... View Details

Keywords: Regression Models; Machine Learning; Fairness; Framework; Mathematical Methods

Article

An Exploration of Optimal Stabilization Policy

By: N. Gregory Mankiw and Matthew C. Weinzierl

This paper examines the optimal response of monetary and fiscal policy to a decline in aggregate demand. The theoretical framework is a two-period general equilibrium model in which prices are sticky in the short-run and flexible in the long-run. Policy is evaluated by... View Details

Keywords: Fiscal Policy; Monetary Policy; Economic Models; Aggregate Demand; Demand and Consumers; Money; Mathematical Methods; Taxation; Spending; Policy; Welfare; Household; Economic Slowdown and Stagnation

Find at Harvard

2022
Article

Exploring Counterfactual Explanations Through the Lens of Adversarial Examples: A Theoretical and Empirical Analysis.

By: Martin Pawelczyk, Chirag Agarwal, Shalmali Joshi, Sohini Upadhyay and Himabindu Lakkaraju

As machine learning (ML) models become more widely deployed in high-stakes applications, counterfactual explanations have emerged as key tools for providing actionable model explanations in practice. Despite the growing popularity of counterfactual explanations, a... View Details

Keywords: Machine Learning Models; Counterfactual Explanations; Adversarial Examples; Mathematical Methods

November 2018
Case

Sportradar (A): From Data to Storytelling

By: Ramon Casadesus-Masanell, Karen Elterman and Oliver Gassmann

In 2013, the Swiss sports data company Sportradar debated whether to expand from its core business of data provision to bookmakers into sports media products. Sports data was becoming a commodity, and in the future, sports leagues might reduce their dependence on... View Details

Educators

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

Article

Aztec Castles and the dP3 Quiver

By: Megan Leoni, Gregg Musiker, Seth Neel and Paxton Turner

Bipartite, periodic, planar graphs known as brane tilings can be associated to a large class of quivers. This paper will explore new algebraic properties of the well-studied del Pezzo 3 (dP3) quiver and geometric properties of its corresponding brane tiling. In... View Details

Keywords: Brane Tiling; Del Pezzo 3 Lattice; Dimer Model; Mathematical Methods

Find at Harvard

Register to Read

2013
Working Paper

Where do the Most Active Customers Originate and How Can Firms Keep Them Engaged?

By: Clarence Lee, E. Ofek and Thomas Steenburgh

In this paper, we study how firms offering Web services can acquire and develop an active customer base. We focus on two basic questions. First, how does the method of customer acquisition affect the way customers use the service to meet their own needs and to interact... View Details

Keywords: Customer Engagement; Adoption Routes; Hidden Markov Models; Search; Word-of-Mouth; Digital Media; Customer Relationship Management; Internet and the Web; Mathematical Methods; Consumer Behavior; Entrepreneurship; Marketing Reference Programs; Web Services Industry

February 2021
Tutorial

What is AI?

By: Tsedal Neeley

This video explores the elements that constitute artificial intelligence (AI). From its mathematical basis to current advances in AI, this video introduces students to data, tools, and statistical models that make a computer 'intelligent.' Through an explanation of... View Details

Keywords: Artificial Intelligence; Digital; Technological Innovation; Leadership; AI and Machine Learning; Mathematical Methods

2005
Working Paper

Macro for Managers

By: David A. Moss

This note attempts to provide a conceptual overview of macroeconomics. Designed for managers and students of management, it emphasizes fundamental ideas and relationships, rather than mathematical models and formulas. The note identifies—and is structured around—three... View Details

Keywords: Macroeconomics; Money; Relationships; Performance Expectations

Research Summary

Overview

My background is rooted in mathematics and science, so I am interested in strategy theory. I have a broad interest in a variety of fields, and am open to research topics. My senior thesis was on copula modelling of heating oil and natural gas futures. View Details

September 1983 (Revised October 1984)
Case

Syntex Laboratories (A)

A consulting project involving a mathematical model of the sales force indicates that Syntex Labs should nearly double the size of their sales force and drastically alter their allocation of sales effort to the product line and physician specialties. The questions are... View Details

Keywords: Organizational Change and Adaptation; Strategic Planning; Salesforce Management; Pharmaceutical Industry

Educators

Research Summary

An Impossibility Theorem on Beliefs in Games (with H. Jerome Keisler)

A 'paradox' of self-reference in beliefs in games is identified, which yields a game-theoretic impossibility theorem akin to (a weak form of) Tarski's Theorem of mathematical logic. A rough interpretation of the theorem is that if a model of a game is available to the... View Details

Article

Towards a Single European Sky

By: Yael Grushka-Cockayne and Bert De Reyck

We describe an integrated decision-making framework and model that we developed to aid EUROCONTROL, the European air traffic management organization, in its vital role of constructing a single unified European sky. Combining multicriteria decision analysis with... View Details

Keywords: Decision Making; Analysis; Air Transportation Industry; Europe

Find at Harvard

Research Summary

Overview

Professor Goh’s primary research interest is applying mathematical models to real-world problems in health care in order to inform, improve, and enhance medical decision making and health policy. His recent work in this domain focuses on developing new methods for... View Details

Keywords: Uncertainty; Optimization; Inventory Management; Health; Decision Making; Supply Chain

Research Summary

Valuation Theory and Practice

Timothy A. Luehrman's primary research interest is in the application of valuation methods to companies, businesses, and individual assets. Some of his work involves applications of tools originally developed for valuing derivative securities to the valuation of other... View Details

November 2007
Background Note

Asset Allocation I

By: Joshua D. Coval, Erik Stafford, Rodrigo Osmo, John Jernigan, Zack Page and Paulo Passoni

The goal of these simulations is to understand the mathematics of mean-variance optimization and the equilibrium pricing of risk if all investors use this rule with common information sets. Simulation A focuses on five to 10 years of monthly sector returns that are... View Details

Keywords: Asset Pricing; Capital; Investment Return; Risk Management; Mathematical Methods