Publications

June 2005 (Revised March 2006)
Case

E Ink in 2005

By: David B. Yoffie and Barbara Mack

Explores the challenges of commercializing a bleeding-edge technology. After seven years, E Ink has spent more than $100 million to commercialize electronic ink. With business momentum picking up, but resources running out, the case examines the key trade-offs in... View Details

Keywords: Technological Innovation; Commercialization; Mathematical Methods; Consumer Products Industry; Technology Industry

2024
Working Paper

Fiscal Policy under Convex Supply Curves

By: Shlok Goyal, Avi Lipton and Borui Niklas Zhu

Recent empirical evidence suggests that supply curves are convex. Supply curve convexity is at odds with conventional Phillips curves, which rely on an infinitely elastic underlying supply curve. This paper explores the effect of supply curve convexity on the... View Details

Keywords: Fiscal Stimulus; Fiscal Policy; Inflation; Inflation and Deflation; Macroeconomics; Policy; Mathematical Methods; United States

SSRN

2009
Working Paper

Patent Policy, Patent Pools, and the Accumulation of Claims in Sequential Innovation

By: Gaston Llanes and Stefano Trento

We present a dynamic model where the accumulation of patents generates an increasing number of claims on sequential innovation. We study the equilibrium innovation activity under three regimes: patents, no-patents and patent pools. Patent pools increase the probability... View Details

Keywords: Innovation and Invention; Patents; Rights; Mathematical Methods

1985
Chapter

The Role of Contingent Claims Analysis in Corporate Finance

By: Scott P. Mason and Robert C. Merton

Keywords: Mathematical Methods; Corporate Finance

1999
Chapter

Interest Rate Rules in an Estimated Sticky Price Model

By: Julio J. Rotemberg and Michael Woodford

Keywords: Interest Rates; Mathematical Methods

August 2018
Article

Extrapolation and Bubbles

By: Nicholas Barberis, Robin Greenwood, Lawrence Jin and Andrei Shleifer

We present an extrapolative model of bubbles. In the model, many investors form their demand for a risky asset by weighing two signals: an average of the asset’s past price changes and the asset’s degree of overvaluation. The two signals are in conflict, and investors... View Details

Keywords: Bubble; Extrapolation; Volume; Price Bubble; Mathematical Methods

2016
Working Paper

Algorithmic Foundations for Business Strategy

By: Mihnea Moldoveanu

I introduce algorithmic and meta-algorithmic models for the study of strategic problem solving, aimed at illuminating the processes and procedures by which strategic managers and firms deal with complex problems. These models allow us to explore the relationship... View Details

Keywords: Mathematical Methods; Business Strategy

1995
Book

Introduction to Statistical Decision Theory

By: John W. Pratt, Howard Raiffa and Robert Schlaifer

Keywords: Mathematical Methods; Decision Making; Theory

January 1990 (Revised February 1990)
Case

MSA: The Software Company--Planning the AMAPs Product Line

By: Robert J. Dolan

MSA has commissioned a major market research study to assess demand potential for a computer software system designed for aerospace and defense contractors. Students must evaluate the results of the study (including a conjoint analysis) to assess whether MSA should... View Details

Keywords: Product; Marketing; Mathematical Methods; Software

May 1984 (Revised September 1986)
Background Note

Basic Quantitative Analysis for Marketing

By: Robert J. Dolan

Shows how to calculate and use the break-even volume in marketing decision making. View Details

Keywords: Marketing Strategy; Mathematical Methods

Article

The Shapley Value as a von Neumann-Morgenstern Utility

By: A. E. Roth

Keywords: Value; Mathematical Methods

Article

Portfolio Value-at-Risk Optimization for Asymmetrically Distributed Asset Returns

By: Joel Goh, Kian Guan Lim, Melvyn Sim and Weina Zhang

We propose a new approach to portfolio optimization by separating asset return distributions into positive and negative half-spaces. The approach minimizes a newly-defined Partitioned Value-at-Risk (PVaR) risk measure by using half-space statistical information. Using... View Details

Keywords: Robust Optimization; Portfolio Management; Value-at-risk; Mathematical Methods; Finance

July 1985 (Revised March 1994)
Background Note

Exposure and Hedging

By: David E. Bell

Describes the concept of exposure; the dependence of a goal on an uncertain external event. Describes in detail how hedges may be constructed to eliminate exposure, including the algebra of cross-hedging and hedge ratios. The relevance of regression analysis is... View Details

Keywords: Mathematical Methods; Finance