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- Faculty Publications (568)
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- All HBS Web (618)
- Faculty Publications (568)
- 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
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
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.
- Article
Who Will Vote Quadratically? Voter Turnout and Votes Cast Under Quadratic Voting
By: Louis Kaplow and Scott Duke Kominers
Who will vote quadratically in large-N elections under quadratic voting (QV)? First, who will vote? Although the core QV literature assumes that everyone votes, turnout is endogenous. Drawing on other work, we consider the representativeness of endogenously... View Details
Keywords: Voting Turnout; Paradox Of Voting; Quadratic Voting; Pivotality; Elections; Voting; Political Elections; Mathematical Methods
Kaplow, Louis, and Scott Duke Kominers. "Who Will Vote Quadratically? Voter Turnout and Votes Cast Under Quadratic Voting." Special Issue on Quadratic Voting and the Public Good. Public Choice 172, nos. 1-2 (July 2017): 125–149.
- May 2000
- Article
Maxmin Expected Utility over Savage Acts with a Set of Priors
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. This characterization complements the original axiomatizations of MMEU developed in a... View Details
Keywords: Uncertainty Aversion; Ambiguity; Expected Utility; Set Of Priors; Knightian Uncertainty; Decision Making; Game Theory; Risk and Uncertainty; Mathematical Methods
Casadesus-Masanell, Ramon, Peter Klibanoff, and Emre Ozdenoren. "Maxmin Expected Utility over Savage Acts with a Set of Priors." Journal of Economic Theory 92, no. 1 (May 2000): 35–65.
- 2021
- Article
Aggregate Advertising Expenditure in the U.S. Economy: Measurement and Growth Issues in the Digital Era
By: Alvin J. Silk and Ernst R. Berndt
The two components of the advertising industry—the creative sector that develops and produces messages, and the communications sector that transmits messages via various media—have each been greatly affected by advances in creative design and communications... View Details
Keywords: Industry Evolution; Advertising; Spending; Measurement and Metrics; Mathematical Methods; Media; Advertising Industry; United States
Silk, Alvin J., and Ernst R. Berndt. "Aggregate Advertising Expenditure in the U.S. Economy: Measurement and Growth Issues in the Digital Era." Foundations and Trends® in Marketing 15, no. 1 (2021): 1–85.
- Article
On Market Timing and Investment Performance Part II: Statistical Procedures for Evaluating Forecasting Skills
By: Robert C. Merton and Roy D. Henriksson
Merton, Robert C., and Roy D. Henriksson. "On Market Timing and Investment Performance Part II: Statistical Procedures for Evaluating Forecasting Skills." Journal of Business 54, no. 4 (October 1981): 513–533.
- 2012
- Working Paper
Rainmakers: Why Bad Weather Means Good Productivity
By: Jooa Julia Lee, Francesca Gino and Bradley R. Staats
People believe that weather conditions influence their everyday work life, but to date, little is known about how weather affects individual productivity. Most people believe that bad weather conditions reduce productivity. In this research, we predict and find just... View Details
Keywords: Productivity; Opportunity Cost; Distractions; Weather; Performance Productivity; Social Psychology; Mathematical Methods
Lee, Jooa Julia, Francesca Gino, and Bradley R. Staats. "Rainmakers: Why Bad Weather Means Good Productivity." Harvard Business School Working Paper, No. 13-005, July 2012.
- 2013
- Working Paper
Competing Ad Auctions
By: Itai Ashlagi, Benjamin Edelman and Hoan Soo Lee
We present a two-stage model of competing ad auctions. Search engines attract users via Cournot-style competition. Meanwhile, each advertiser must pay a participation cost to use each ad platform, and advertiser entry strategies are derived using symmetric Bayes-Nash... View Details
Keywords: Online Advertising; Auctions; Market Participation; Market Platforms; Mathematical Methods; Competition
Ashlagi, Itai, Benjamin Edelman, and Hoan Soo Lee. "Competing Ad Auctions." Harvard Business School Working Paper, No. 10-055, January 2010. (Revised May 2010, February 2011, September 2013.)
- 2009
- Working Paper
Farsighted Stability for Roommate Markets
By: Bettina-Elisabeth Klaus, Flip Klijn and Markus Walzl
Using a bi-choice graph technique (Klaus and Klijn, 2009), we show that a matching for a roommate market indirectly dominates another matching if and only if no blocking pair of the former is matched in the latter (Proposition 1). Using this characterization of... View Details
Klaus, Bettina-Elisabeth, Flip Klijn, and Markus Walzl. "Farsighted Stability for Roommate Markets." Harvard Business School Working Paper, No. 09-135, May 2009.
- October 2004 (Revised May 2006)
- Case
Wells REIT II
By: Arthur I Segel and Dwight Angelini
Dr. Richard Planter, a dentist, asks his financial adviser, Michael Saris, to review an offering memorandum for a new, private real estate investment trust. After reviewing the documents, Saris needs to develop an analytical framework and provide concrete advice... View Details
Keywords: Finance; Investment; Framework; Private Ownership; Mathematical Methods; Real Estate Industry
Segel, Arthur I., and Dwight Angelini. "Wells REIT II." Harvard Business School Case 205-019, October 2004. (Revised May 2006.)
- Article
Diverging Trends in Macro and Micro Volatility
By: Diego Comin and Sunil Mulani
This paper documents the diverging trends in volatility of the growth rate of sales at the aggregate and firm level. We establish that the upward trend in micro volatility is not simply driven by a compositional bias in the sample studied. We argue that this new fact... View Details
Comin, Diego, and Sunil Mulani. "Diverging Trends in Macro and Micro Volatility." Review of Economics and Statistics 88, no. 2 (May 2006).
- December 2001 (Revised April 2003)
- Case
Delays at Logan Airport
By: V.G. Narayanan and George Batta
Logan Airport is facing mounting delays for flights landings and takeoffs, especially in inclement weather. An additional runway and peak-period pricing are two alternatives being considered. View Details
Keywords: Price; Problems and Challenges; Decision Making; Mathematical Methods; Air Transportation Industry; Service Industry; Boston
Narayanan, V.G., and George Batta. "Delays at Logan Airport." Harvard Business School Case 102-011, December 2001. (Revised April 2003.)
- June 2008
- Article
Minimally Acceptable Altruism and the Ultimatum Game
By: Julio J. Rotemberg
I suppose that people react with anger when others show themselves not to be minimally altruistic. With heterogeneous agents, this can account for the experimental results of ultimatum and dictator games. Moreover, it can account for the surprisingly large fraction of... View Details
Rotemberg, Julio J. "Minimally Acceptable Altruism and the Ultimatum Game." Journal of Economic Behavior & Organization 66, nos. 3-4 (June 2008).
- 03 Dec 2024
- News
Magic Numbers
Courtesy Shalinee Sharma Courtesy Shalinee Sharma As a sixth grader in Buffalo, New York, Shalinee Sharma (MBA 2005) believed math just wasn’t her thing. There were only a few girls in the honors class at her new school, and Sharma soon realized that she was far behind... View Details
Keywords: Amy Crawford
- 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
- Working Paper
The Long-Run Dynamics of Electricity Demand: Evidence from Municipal Aggregation
By: Tatyana Deryugina, Alexander MacKay and Julian Reif
Economic theory suggests that demand is more elastic in the long run relative to the short run, but evidence on the empirical relevance of this phenomenon is scarce. We study the dynamics of residential electricity demand by exploiting price variation arising from a... View Details
Deryugina, Tatyana, Alexander MacKay, and Julian Reif. "The Long-Run Dynamics of Electricity Demand: Evidence from Municipal Aggregation." NBER Working Paper Series, No. 23483, October 2017.
- October 2005 (Revised January 2009)
- Background Note
Corporate Valuation and Market Multiples
By: Timothy A. Luehrman
Provides a basic introduction to the use of market multiples for business valuation. Explains the method's reliance on the Law of One Price, sets forth the basic steps for using the method, and reviews some practical issues arising in its application. View Details
Luehrman, Timothy A. "Corporate Valuation and Market Multiples." Harvard Business School Background Note 206-039, October 2005. (Revised January 2009.)
- September 1989
- Background Note
Introduction to Decision Making
By: Francis Aguilar
Describes the process of decision making (establish objectives, generate alternatives, and so on) emphasizing the human side of it (using rules of thumb, favoring one's own pet projects) yet demonstrating the role an analytic/quantitative contribution has to make. View Details
Aguilar, Francis. "Introduction to Decision Making." Harvard Business School Background Note 390-048, September 1989.
- 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
Li, Yufan, Jialiang Mao, and Iavor Bojinov. "Balancing Risk and Reward: An Automated Phased Release Strategy." Advances in Neural Information Processing Systems (NeurIPS) (2023).