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Publications

Publications

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  • All HBS Web  (618)
    • News  (18)
    • Research  (580)
    • Events  (3)
  • Faculty Publications  (568)

Show Results For

  • All HBS Web  (618)
    • News  (18)
    • Research  (580)
    • Events  (3)
  • Faculty Publications  (568)
← Page 18 of 618 Results →
  • January 2000
  • Article

Maxmin Expected Utility through Statewise Combinations

By: Ramon Casadesus-Masanell, Peter Klibanoff and Emre Ozdenoren
This paper provides an axiomatic foundation for a maxmin expected utility over a set of priors (MMEU) decision rule in an environment where the elements of choice are Savage acts. The key axioms are stated using statewise combinations as in Gul (1992). View Details
Keywords: Decision Choices and Conditions; Mathematical Methods
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Casadesus-Masanell, Ramon, Peter Klibanoff, and Emre Ozdenoren. "Maxmin Expected Utility through Statewise Combinations." Economics Letters 66, no. 1 (January 2000): 49–54.
  • 1977
  • Chapter

A Reexamination of the Capital Asset Pricing Model

By: Robert C. Merton
Keywords: Capital; Asset Pricing; Mathematical Methods
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Merton, Robert C. "A Reexamination of the Capital Asset Pricing Model." In Studies in Risk and Return, edited by J. Bicksler and I. Friend. Cambridge, MA: Ballinger Publishing Company, 1977.
  • March 2011 (Revised April 2021)
  • Case

The Whiz Kids

By: Tom Nicholas and David Chen
In October 1945, Henry Ford II received a telegram in his office at the Ford Motor Company in Dearborn, Michigan written by Charles "Tex" Thornton, a U.S. Air Force colonel. The telegram presented an opportunity for Ford to deploy a system of statistical control which... View Details
Keywords: Ford Motor Company; Statistical Control; Management Systems; Accounting; Operations; Strategy; Mathematical Methods; Auto Industry; United States
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Nicholas, Tom, and David Chen. "The Whiz Kids." Harvard Business School Case 811-042, March 2011. (Revised April 2021.)
  • 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
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Goyal, Shlok, Avi Lipton, and Borui Niklas Zhu. "Fiscal Policy under Convex Supply Curves." Working Paper, August 2024.
  • 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
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Llanes, Gaston, and Stefano Trento. "Patent Policy, Patent Pools, and the Accumulation of Claims in Sequential Innovation." Harvard Business School Working Paper, No. 10-005, July 2009.
  • 01 Dec 1997
  • News

Merton's Economics Research Wins Nobel Prize

evaluation began when he was a graduate student in applied mathematics at the California Institute of Technology and intensified in the late 1960s, when he went to MIT to study economics under Nobel Laureate Paul Samuelson. At MIT, he... View Details
  • Forthcoming
  • Article

Sticky Capital Controls

By: Miguel Acosta-Henao, Laura Alfaro and Andrés Fernández
There is much ongoing debate on the merits of capital controls as effective policy instruments. The differing perspectives are due in part to a lack of empirical studies that look at the intensive margin of controls, which in turn has prevented a quantitative... View Details
Keywords: Capital Controls; Macroprudential Policies; Stickiness; Intensive; (S, S) Costs; Capital; Management; Macroeconomics; Governance Controls; Mathematical Methods
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Acosta-Henao, Miguel, Laura Alfaro, and Andrés Fernández. "Sticky Capital Controls." Journal of International Economics (forthcoming).
  • July 2012
  • Article

Discrete Choice Cannot Generate Demand That Is Additively Separable in Own Price

By: Sonia Jaffe and Scott Duke Kominers
We show that in a unit demand discrete choice framework with at least three goods, demand cannot be additively separable in own price. This result sharpens the analogous result of Jaffe and Weyl (2010) in the case of linear demand and has implications for testing of... View Details
Keywords: Discrete Choice; Unit Demand; Separable Demand; Linear Demand; Demand and Consumers; Market Design; Mathematical Methods; Economics
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Jaffe, Sonia, and Scott Duke Kominers. "Discrete Choice Cannot Generate Demand That Is Additively Separable in Own Price." Economics Letters 116, no. 1 (July 2012): 129–132.
  • 2004
  • Chapter

The Harrod-Domar Model

By: Diego Comin
Keywords: Mathematical Methods; Economic Growth; Development Economics; Capital
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Comin, Diego. "The Harrod-Domar Model." In An Eponymous Dictionary of Economics, edited by C. R. Braun and Julio Segura. Edward Elgar Publishing, 2004.
  • 01 Mar 2009
  • News

The Case for Studying Financial History

on financial history or indeed any kind of history. Finance is often taught as a branch of mathematics in a rather technical way without adequate reference to past experience. I think HBS is actually in the best position here because the... View Details
Keywords: Roger Thompson; federal bailouts; Finance; Administration of Economic Programs; Government
  • 01 Dec 2007
  • News

From A to Z

French Last Job: Business Analyst, McKinsey & Company, Moscow Age: 26 Why HBS? “My degree is in economics, which was exciting but strictly mathematical and theoretical. I wanted to become a more well-rounded individual and gain a wider... View Details
Keywords: Business Schools & Computer & Management Training; Educational Services
  • June 2012
  • Response

Solution to Exchanges 10.2 Puzzle: Borrowing in the Limit as Our Nerdiness Goes to Infinity

By: Ran I. Shorrer
This is a solution to the editor's puzzle from issue 10.2 of SIGecom Exchanges [Reeves 2011]. The puzzle asks to determine a point in time such that a lump sum payment of $S will be equivalent to a continuous stream of infinitesimal payments totaling $S, spread evenly... View Details
Keywords: Borrowing and Debt; Market Transactions; Mathematical Methods
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Shorrer, Ran I. "Solution to Exchanges 10.2 Puzzle: Borrowing in the Limit as Our Nerdiness Goes to Infinity." ACM SIGecom Exchanges 11, no. 1 (June 2012): 39–41.
  • September 2010 (Revised January 2011)
  • Background Note

Using Regression Analysis to Estimate Time Equations

This note presents a simple way to estimate time equations using regression analysis in Excel. The note quickly outlines regression analysis, then presents a real-life case example from the natural gas industry that students can use to gain experience developing and... View Details
Keywords: Accounting; Activity Based Costing and Management; Mathematical Methods
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Martinez-Jerez, Francisco de Asis, and Ariel Andres Blumenkranc. "Using Regression Analysis to Estimate Time Equations." Harvard Business School Background Note 111-001, September 2010. (Revised January 2011.)
  • June 2007
  • Article

Which Levers Boost ROI?

By: Margeaux Cvar and John A. Quelch
The article refers to ROI, or return on investment, and focuses on a rational strategy for financial markets that uses outside industry comparisons. The first step is to identify parallel businesses that have similar characteristics such as growth, capital, and market... View Details
Keywords: Mathematical Methods; Financial Markets; Investment Return
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Cvar, Margeaux, and John A. Quelch. "Which Levers Boost ROI?" Harvard Business Review 85, no. 6 (June 2007): 21–24.
  • 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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Hatfield, John William, Scott Duke Kominers, and Alexander Westkamp. "Stable and Strategy-Proof Matching with Flexible Allotments." American Economic Review 107, no. 5 (May 2017): 214–219.
  • 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
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Silk, Alvin J. "Note on Statistical Tests for a Randomized Matched Pair Experimental Design, A." Harvard Business School Background Note 500-007, July 1999.
  • 1981
  • Chapter

Sparsity and Piecewise Linearity in Large Portfolio Optimization Problems

By: André Perold and Harry M. Markowitz
Keywords: Investment Portfolio; Mathematical Methods
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Perold, André, and Harry M. Markowitz. "Sparsity and Piecewise Linearity in Large Portfolio Optimization Problems." In Sparse Matricies and Their Uses, edited by I. S. Duff. Academic Press, 1981.
  • February 2021
  • Article

A Dynamic Theory of Multiple Borrowing

By: Daniel Green and Ernest Liu
Multiple borrowing—a borrower obtains overlapping loans from multiple lenders—is a common phenomenon in many credit markets. We build a highly tractable, dynamic model of multiple borrowing and show that, because overlapping creditors may impose default externalities... View Details
Keywords: Commitment; Multiple Borrowing; Common Agency; Misallocation; Microfinance; Investment; Mathematical Methods
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Green, Daniel, and Ernest Liu. "A Dynamic Theory of Multiple Borrowing." Journal of Financial Economics 139, no. 2 (February 2021): 389–404.
  • 2023
  • Article

Balancing Risk and Reward: An Automated Phased Release Strategy

By: Yufan Li, Jialiang Mao and Iavor Bojinov
Phased releases are a common strategy in the technology industry for gradually releasing new products or updates through a sequence of A/B tests in which the number of treated units gradually grows until full deployment or deprecation. Performing phased releases in a... View Details
Keywords: Product Launch; Mathematical Methods; Product Development
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Li, Yufan, Jialiang Mao, and Iavor Bojinov. "Balancing Risk and Reward: An Automated Phased Release Strategy." Advances in Neural Information Processing Systems (NeurIPS) (2023).
  • January 2020
  • Article

The Long-Run Dynamics of Electricity Demand: Evidence from Municipal Aggregation

By: Tatyana Deryugina, Alexander MacKay and Julian Reif
We study the dynamics of residential electricity demand by exploiting a natural experiment that produced large and long-lasting price changes in over 250 Illinois communities. Using a flexible difference-in-differences matching approach, we estimate that the price... View Details
Keywords: Electricity Demand; Consumption Dynamics; Energy; Policy; Demand and Consumers; Price; Mathematical Methods
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Deryugina, Tatyana, Alexander MacKay, and Julian Reif. "The Long-Run Dynamics of Electricity Demand: Evidence from Municipal Aggregation." American Economic Journal: Applied Economics 12, no. 1 (January 2020): 86–114.
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