Publications

2013
Working Paper

Applying Random Coefficient Models to Strategy Research: Testing for Firm Heterogeneity, Predicting Firm-Specific Coefficients, and Estimating Strategy Trade-Offs

By: Juan Alcacer, Wilbur Chung, Ashton Hawk and Goncalo Pacheco-de-Almeida

Although Strategy research aims to understand how firm actions have differential effects on performance, most empirical research estimates the average effects of these actions across firms. This paper promotes Random Coefficients Models (RCMs) as an ideal empirical... View Details

Keywords: Strategy; Mathematical Methods

SSRN

Article

Consistent Covariance Matrix Estimation with Cross-Sectional Dependence and Heteroskedasticity in Cross-Sectional Financial Data

By: K. A. Froot

Keywords: Econometrics; Panel Estimation; Autocorrelation; Heteroskedasticity; Mathematical Methods; Economics

November 2004 (Revised April 2005)
Background Note

Math for Strategists

By: Tarun Khanna and Jan W. Rivkin

Great strategists rely heavily on numbers as they go about their work. Offers an overview of the high- and low-brow quantitative tools that students encounter during the Strategy course. The class explores high-brow tools in detail; the focus here is on low-brow... View Details

Keywords: Mathematical Methods; Strategy

Educators

Purchase

fall 1973
Article

Statistical Sampling in Auditing with Auxiliary Information Estimators

By: Robert S. Kaplan

Keywords: Mathematical Methods; Information

Web

Louise Bourgeois Eye Benches II 1996-1997 | About

installations, Louise Bourgeois (1911–2010) was one of the most influential artists of the twentieth century. Born in Paris, Bourgeois worked in her family’s tapestry restoration workshop as a young child and then studied mathematics... View Details

01 Dec 2014
News

Taking Tailoring High Tech

width and lining options. But instead of measuring tapes, there’s Molly, a 3D scanner that creates a mathematical model of the shopper’s body. The more than 200,000 measurements collected in just seven seconds are translated into patterns... View Details

Keywords: April White; 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

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

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

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

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

1980
Chapter

The Nash Solution as a Model of Rational Bargaining

By: A. E. Roth

Keywords: Mathematical Methods; Negotiation Style

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

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