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November 2019
Article

Full Substitutability

By: John William Hatfield, Scott Duke Kominers, Alexandru Nichifor, Michael Ostrovsky and Alexander Westkamp

Various forms of substitutability are essential for establishing the existence of equilibria and other useful properties in diverse settings such as matching, auctions, and exchange economies with indivisible goods. We extend earlier models’ definitions of... View Details

Keywords: Substitutability; Mathematical Methods; Auctions; Market Design

July 2008 (Revised May 2009)
Teaching Note

The Springfield Nor'easters: Maximizing Revenues in the Minor Leagues (Brief Case)

By: Frank V. Cespedes, Christopher H. Lovelock and Laura Winig

Teaching Note for 2510 View Details

Keywords: Market Research; Quantitative Analysis; Consumer Marketing; Pricing Strategy; Price; Mathematical Methods; Marketing Channels

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November 2012
Article

The Variance of Non-Parametric Treatment Effect Estimators in the Presence of Clustering

By: Samuel G. Hanson and Adi Sunderam

Non-parametric estimators of treatment effects are often applied in settings where clustering may be important. We provide a general methodology for consistently estimating the variance of a large class of non-parametric estimators, including the simple matching... View Details

Keywords: Treatment Effects; Matching Estimators; Clustering; Applications and Software; Mathematical Methods

Article

Preventing Fairness Gerrymandering: Auditing and Learning for Subgroup Fairness

By: Michael J Kearns, Seth Neel, Aaron Leon Roth and Zhiwei Steven Wu

The most prevalent notions of fairness in machine learning are statistical definitions: they fix a small collection of pre-defined groups, and then ask for parity of some statistic of the classifier (like classification rate or false positive rate) across these groups.... View Details

Keywords: Machine Learning; Algorithms; Fairness; Mathematical Methods

2020
Working Paper

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

October 1992
Case

Charles River Jazz Festival

Charles River Jazz Festival must decide whether to press a compact disk (CD) of Friday's jazz performance for sale on Saturday and Sunday. The idea to press CDs is novel, so there is considerable uncertainty about how receptive customers will be. The festival must... View Details

Keywords: Mathematical Methods; Decision Making

Educators

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January 1982
Background Note

Sharing Costs: Internal Telephone Billing Rates

By: Elon Kohlberg

Keywords: Cost; Mathematical Methods

2002
Chapter

Future Possibilities in Finance Theory and Finance Practice

By: Robert C. Merton

Keywords: Finance; Mathematical Methods; Practice

September 1976 (Revised June 1977)
Background Note

Assessing Certainty Equivalents by Assessing Preference for Consequences

By: Paul A. Vatter

Keywords: Mathematical Methods; Decision Making

21 Dec 2016
Blog Post

The Best Little Secret of the Harvard MBA

It’s 7:45 in the morning on a Friday and I am sitting in Spangler Hall, the center of student activity at Harvard Business School. About a third of the building is a large dining facility that includes a kitchen, serving area, and dining hall. Every seat is taken at... View Details

22 Oct 2020
Working Paper Summaries

Estimating Causal Effects in the Presence of Partial Interference Using Multivariate Bayesian Structural Time Series Models

Keywords: by Fiammetta Menchetti and Iavor Bojinov

January 1982 (Revised December 1997)
Background Note

Note on the New Deal: From the First to the Second ""Hundred Days""

A brief summary of Franklin D. Roosevelt's New Deal policies between 1933 and 1935. Contains three statistical tables that supplement Selected U.S. Statistics: Part I and Selected U.S. Statistics: Part II. View Details

Keywords: History; Mathematical Methods; Policy; Public Administration Industry; United States

2018
Working Paper

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: Bubbles; Price Bubble; Mathematical Methods