Publications

September 1976 (Revised June 1977)
Background Note

Assessing Certainty Equivalents by Assessing Preference for Consequences

By: Paul A. Vatter

Keywords: Mathematical Methods; Decision Making

01 Mar 2016
News

Research Brief: The Benefits of Bias

specialized expertise to the process—which some worry might create subject-area bias in the decision-making process and affect the quality of research. Assistant Professor Danielle Li takes a mathematical approach to examining this issue... View Details

Keywords: Erin Peterson

Web

Prelude - Option Pricing in Theory & Practice: The Nobel Prize Research of Robert C. Merton - Exhibits - Historical Collections

economics through his working relationship with Paul Samuelson. Perhaps more than any other economist to date, Paul Samuelson is credited with ushering in the modern era of mathematical economic analysis incorporating formal probability... View Details

May 2017
Article

Stable and Strategy-Proof Matching with Flexible Allotments

By: John William Hatfield, Scott Duke Kominers and Alexander Westkamp

We introduce a framework of matching with flexible allotments that can be used to model firms with cross-division hiring restrictions. Our framework also allows us to nest some prior models of matching with distributional constraints. Building upon our recent work on... View Details

Keywords: Balance and Stability; Mathematical Methods

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July 1999
Background Note

Note on Statistical Tests for a Randomized Matched Pair Experimental Design, A

By: Alvin J. Silk

Concerns understanding the conditions under which an experimental design that employs matching and randomization may result in gains in precision as compared to a design that utilizes randomization and independent samples--i.e., no matching. An empirical example is... View Details

Keywords: Marketing; Performance Efficiency; Mathematical Methods

Educators

1981
Chapter

Sparsity and Piecewise Linearity in Large Portfolio Optimization Problems

By: André Perold and Harry M. Markowitz

Keywords: Investment Portfolio; Mathematical Methods

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

July 2023
Article

Design and Analysis of Switchback Experiments

By: Iavor I Bojinov, David Simchi-Levi and Jinglong Zhao

In switchback experiments, a firm sequentially exposes an experimental unit to a random treatment, measures its response, and repeats the procedure for several periods to determine which treatment leads to the best outcome. Although practitioners have widely adopted... View Details

Keywords: Switchback Experiments; Design; Analysis; Mathematical Methods

January 1997
Background Note

Simulation as a Decision Aid

By: Roy D. Shapiro

A brief introduction to simulation--what it is, why it's used, etc. Meant to set context for a first class on simulation. A rewritten version of an earlier note. View Details

Keywords: Mathematical Methods; Decision Making

Educators

Purchase

1970
Chapter

The Time Series Behavior of Earnings: Discussion

By: Michael Jensen

Keywords: Business Earnings; Mathematical Methods

2025
Working Paper

Evaluations Amid Measurement Error: Determining the Optimal Timing for Workplace Interventions

By: Matthew DosSantos DiSorbo, Iavor I. Bojinov and Fiammetta Menchetti

Researchers have embraced factorial experiments to simultaneously evaluate multiple treatments, each with different levels. Typically, in large-scale factorial experiments, the primary objective is identifying the treatment with the largest causal effect, especially... View Details

Keywords: Factorial Designs; Fisher Randomizations; Rank Estimators; Employer Interventions; Causal Inference; Mathematical Methods; Performance Improvement

SSRN

September 2021
Article

Diagnostic Bubbles

By: Pedro Bordalo, Nicola Gennaioli, Spencer Yongwook Kwon and Andrei Shleifer

We introduce diagnostic expectations into a standard setting of price formation in which investors learn about the fundamental value of an asset and trade it. We study the interaction of diagnostic expectations with two well-known mechanisms: learning from prices and... View Details

Keywords: Bubble; Speculation; Diagnostic Expectations; Price Bubble; Mathematical Methods

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

A Prescriptive Analytics Framework for Optimal Policy Deployment Using Heterogeneous Treatment Effects

By: Edward McFowland III, Sandeep Gangarapu, Ravi Bapna and Tianshu Sun

We define a prescriptive analytics framework that addresses the needs of a constrained decision-maker facing, ex ante, unknown costs and benefits of multiple policy levers. The framework is general in nature and can be deployed in any utility maximizing context, public... View Details

Keywords: Prescriptive Analytics; Heterogeneous Treatment Effects; Optimization; Observed Rank Utility Condition (OUR); Between-treatment Heterogeneity; Machine Learning; Decision Making; Analysis; Mathematical Methods

Purchase

1995
Chapter

Dynamic General Equilibrium Models with Imperfectly Competitive Product Markets

By: Julio J. Rotemberg and Michael Woodford

Keywords: Mathematical Methods; Competition; Markets

December 2019
Article

Costly Concessions: An Empirical Framework for Matching with Imperfectly Transferable Utility

By: Alfred Galichon, Scott Duke Kominers and Simon Weber

We introduce an empirical framework for models of matching with imperfectly transferable utility and unobserved heterogeneity in tastes. Our framework allows us to characterize matching equilibrium in a flexible way that includes as special cases the classic fully- and... View Details

Keywords: Sorting; Matching; Marriage Market; Intrahousehold Allocation; Imperfectly Transferable Utility; Marketplace Matching; Mathematical Methods

SSRN

Article

Games of Threats

By: Elon Kohlberg and Abraham Neyman

A game of threats on a finite set of players, N, is a function d that assigns a real number to any coalition, S ⊆ N, such that d(S) = -d(N\S). A game of threats is not necessarily a coalitional game as it may fail to satisfy the condition d(Ø) = 0. We show that analogs... View Details

Keywords: Shapley Value; Coalitional Game; Game Theory; Mathematical Methods