Mathematics - Publications - Faculty & Research

26 Apr 2009
News

Optimal Auction Design and Equilibrium Selection in Sponsored Search Auctions

Keywords: by Benjamin G. Edelman & Michael Schwarz

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

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April 2020 (Revised October 2022)
Case

Medellín Reborn (A)

By: Jorge Tamayo, Ashish Nanda and Margaret Cross

In 2003, mathematics professor Sergio Fajardo was elected mayor of Medellín, Colombia—one of the most violent cities in the world at that time. As mayor, Fajardo faced a host of daunting challenges. Rampant gang violence had raised Medellín’s homicide rate... View Details

Keywords: Strategic Leadership; Peace; Government; Politics; Priorities; Leadership; City; Strategy; Government and Politics; Problems and Challenges; Transformation; Government Administration; Crime and Corruption; Colombia; Medellín

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Scott Duke Kominers is a Professor of Business Administration in the Entrepreneurial Management Unit; as well as a Faculty Affiliate of the View Details

Janice H. Hammond

Janice H. Hammond is the Jesse Philips Professor of Manufacturing. She currently serves as coursehead for the new MBA required course, Data Science for Managers. She serves as program chair for the HBS Executive Education International Women’s Foundation and Women’s... View Details

Keywords: apparel; distribution; e-commerce industry; manufacturing; retailing; textiles; transportation

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

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2011
Working Paper

The Institutional Logic of Great Global Firms

By: Rosabeth Moss Kanter

Theories of the firm have been dominated by a legacy of ideas from early industrialization that pose zero-sum opposition between capital and labor (or capital and nearly everything else), differentiating the economy from society and often posing irreconcilable... View Details

Keywords: Economy; Capital; Globalized Firms and Management; Labor; Corporate Social Responsibility and Impact; Practice; Conflict of Interests; Social Issues; Theory

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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

2021
Conference Presentation

An Algorithmic Framework for Fairness Elicitation

By: Christopher Jung, Michael J. Kearns, Seth Neel, Aaron Leon Roth, Logan Stapleton and Zhiwei Steven Wu

We consider settings in which the right notion of fairness is not captured by simple mathematical definitions (such as equality of error rates across groups), but might be more complex and nuanced and thus require elicitation from individual or collective stakeholders.... View Details

Keywords: Algorithmic Fairness; Machine Learning; Fairness; Framework; Mathematical Methods

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Dennis W. Campbell is currently the Dwight P. Robinson Jr. Professor of Business Administration at Harvard Business School. His research and teaching activities focus broadly on how management control systems can be designed to balance short-term strategy execution... View Details

Keywords: financial services; service industry; hotels ＆ motels; consumer products; restaurant; manufacturing; professional services

July 2023 (Revised July 2023)
Background Note

Generative AI Value Chain

By: Andy Wu and Matt Higgins

Generative AI refers to a type of artificial intelligence (AI) that can create new content (e.g., text, image, or audio) in response to a prompt from a user. ChatGPT, Bard, and Claude are examples of text generating AIs, and DALL-E, Midjourney, and Stable Diffusion are... View Details

Keywords: AI; Artificial Intelligence; Model; Hardware; Data Centers; AI and Machine Learning; Applications and Software; Analytics and Data Science; Value

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PhD Programs - Doctoral

Theoretical modeling uses mathematical programming and computer science techniques to examine and improve firm performance. Innovation research draws on economics, strategy, and entrepreneurship and employs a range of quantitative and... View Details

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Publications - Faculty & Research

treatment... View Details Keywords: Measurement and Metrics ; Mathematical Methods ; Analytics and Data Science ; Agriculture and Agribusiness Industry ; India Citation Read Now Related Cole, Shawn, Tomoko Harigaya, Grady Killeen, and... View Details

19 Sep 2013
Working Paper Summaries

U.S. High-Skilled Immigration, Innovation, and Entrepreneurship: Empirical Approaches and Evidence

Keywords: by William R. Kerr

22 Apr 2014
First Look

First Look: April 22

Finance and Mathematics Courses By: Cole, Shawn, Anna Paulson, and Gauri Kartini Shastry Abstract—Financial literacy and cognitive capabilities are convincingly linked to the quality of financial decision-making. Yet, there is little... View Details

Keywords: Sean Silverthorne

W. Earl Sasser

Earl Sasser is a Baker Foundation Professor at Harvard Business School and has been a member of the faculty there since 1969. He received a B.A. in Mathematics from Duke University in 1965, an MBA from the University of North Carolina in 1967, and a Ph.D. in... View Details

Article

The Similarity Heuristic

By: Daniel Read and Yael Grushka-Cockayne

Decision makers often make snap judgments using fast‐and‐frugal decision rules called cognitive heuristics. Research into cognitive heuristics has been divided into two camps. One camp has emphasized the limitations and biases produced by the heuristics; another has... View Details

Keywords: Heuristics And Biases; Fast-and-frugal Heuristics; Similarity; Representative Design

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08 Mar 2017
HBS Seminar

Fernanda Viégas and Martin Wattenberg, Google

April 2021
Article

A Model of Multi-Pass Search: Price Search Across Stores and Time

By: Navid Mojir and K. Sudhir

In retail settings with price promotions, consumers often search across stores and time. However, the search literature typically only models one pass search across stores, ignoring revisits to stores; the choice literature using scanner data has modeled search across... View Details