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  • All HBS Web  (858)
    • News  (79)
    • Research  (639)
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Show Results For

  • All HBS Web  (858)
    • News  (79)
    • Research  (639)
    • Events  (14)
    • Multimedia  (4)
  • Faculty Publications  (635)
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  • 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
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Bojinov, Iavor I., David Simchi-Levi, and Jinglong Zhao. "Design and Analysis of Switchback Experiments." Harvard Business School Working Paper, No. 21-034, September 2020.
  • 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
Citation
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Wu, George. "Charles River Jazz Festival." Harvard Business School Case 893-004, October 1992.
  • January 1982
  • Background Note

Sharing Costs: Internal Telephone Billing Rates

By: Elon Kohlberg
Keywords: Cost; Mathematical Methods
Citation
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Kohlberg, Elon. "Sharing Costs: Internal Telephone Billing Rates." Harvard Business School Background Note 182-109, January 1982.
  • 2002
  • Chapter

Future Possibilities in Finance Theory and Finance Practice

By: Robert C. Merton
Keywords: Finance; Mathematical Methods; Practice
Citation
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Merton, Robert C. "Future Possibilities in Finance Theory and Finance Practice." In Mathematical Finance - Bachelier Congress 2000, edited by H. Geman, D. Madan, S. Pliska, and T. Vorst. Berlin: Springer-Verlag, 2002. (Was HBS Working Paper 01-030.)
  • September 1976 (Revised June 1977)
  • Background Note

Assessing Certainty Equivalents by Assessing Preference for Consequences

By: Paul A. Vatter
Keywords: Mathematical Methods; Decision Making
Citation
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Vatter, Paul A. "Assessing Certainty Equivalents by Assessing Preference for Consequences." Harvard Business School Background Note 177-038, September 1976. (Revised June 1977.)
  • 18 Nov 2016
  • Conference Presentation

Rawlsian Fairness for Machine Learning

By: Matthew Joseph, Michael J. Kearns, Jamie Morgenstern, Seth Neel and Aaron Leon Roth
Motivated by concerns that automated decision-making procedures can unintentionally lead to discriminatory behavior, we study a technical definition of fairness modeled after John Rawls' notion of "fair equality of opportunity". In the context of a simple model of... View Details
Keywords: Machine Learning; Algorithms; Fairness; Decision Making; Mathematical Methods
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Joseph, Matthew, Michael J. Kearns, Jamie Morgenstern, Seth Neel, and Aaron Leon Roth. "Rawlsian Fairness for Machine Learning." Paper presented at the 3rd Workshop on Fairness, Accountability, and Transparency in Machine Learning, Special Interest Group on Knowledge Discovery and Data Mining (SIGKDD), November 18, 2016.
  • 2008
  • Chapter

Assessing Creativity and Its Antecedents: An Exploration of the Componential Theory of Creativity

By: T. M. Amabile and Jennifer Mueller
Keywords: Creativity; Mathematical Methods; Theory
Citation
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Amabile, T. M., and Jennifer Mueller. "Assessing Creativity and Its Antecedents: An Exploration of the Componential Theory of Creativity." In Handbook of Organizational Creativity, edited by Jing Zhou and Christina E. Shalley. Lawrence Erlbaum Associates, 2008.
  • March 1999 (Revised December 2001)
  • Background Note

Analyzing Consumer Preferences

By: Robert J. Dolan
Presents a non-traditional description of the conjoint analysis methodology. Discusses the process by which a study is done and cites areas of application. View Details
Keywords: Marketing; Mathematical Methods; Product Marketing
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Dolan, Robert J. "Analyzing Consumer Preferences." Harvard Business School Background Note 599-112, March 1999. (Revised December 2001.)
  • 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
Citation
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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.
  • December 2024
  • Article

Respect for Improvements and Comparative Statics in Matching Markets

By: Scott Duke Kominers
One of the oldest results in the theory of two-sided matching is the entry comparative static, which shows that under the Gale–Shapley deferred acceptance algorithm, adding a new agent to one side of the market makes all the agents on the other side weakly... View Details
Keywords: Market Entry and Exit; Marketplace Matching; Mathematical Methods; Market Design
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Kominers, Scott Duke. "Respect for Improvements and Comparative Statics in Matching Markets." Journal of Mechanism and Institution Design 9, no. 1 (December 2024): 83–104.
  • September – October 2007
  • Article

Trading Patterns and Excess Comovement of Stock Returns

By: Robin Greenwood and Nathan Sosner
n April 2000, 30 stocks were replaced in the Nikkei 225 Index. The unusually broad index redefinition allowed for a study of the effects of index-linked trading on the excess comovement of stock returns. A large increase occurred in the correlation of trading volume of... View Details
Keywords: Stocks; Investment Return; Market Transactions; Mathematical Methods
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Greenwood, Robin, and Nathan Sosner. "Trading Patterns and Excess Comovement of Stock Returns." Financial Analysts Journal 63, no. 5 (September–October 2007): 69–81.
  • August 1983
  • Background Note

Balance of Payments: Accounting and Presentation

By: David B. Yoffie
Provides an overview of balance of payments accounting and analytical presentation of balance of payments data. Includes sample transactions to illustrate the application of the basic accounting principles and definitions of the standard balances. View Details
Keywords: Accounting; Analytics and Data Science; Management; Standards; Mathematical Methods
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Yoffie, David B. "Balance of Payments: Accounting and Presentation." Harvard Business School Background Note 384-005, August 1983.
  • April 12, 2022
  • Article

Evaluation of Individual and Ensemble Probabilistic Forecasts of COVID-19 Mortality in the United States

By: Estee Y. Cramer, Evan L. Ray, Velma K. Lopez, Johannes Bracher, Andrea Brennen, Alvaro J. Castro Rivadeneira, Michael Lingzhi Li and et al.
Short-term probabilistic forecasts of the trajectory of the COVID-19 pandemic in the United States have served as a visible and important communication channel between the scientific modeling community and both the general public and decision-makers. Forecasting models... View Details
Keywords: COVID-19; Forecasting and Prediction; Health Pandemics; Mathematical Methods; Partners and Partnerships
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Cramer, Estee Y., Evan L. Ray, Velma K. Lopez, Johannes Bracher, Andrea Brennen, Alvaro J. Castro Rivadeneira, Michael Lingzhi Li, and et al. "Evaluation of Individual and Ensemble Probabilistic Forecasts of COVID-19 Mortality in the United States." e2113561119. Proceedings of the National Academy of Sciences 119, no. 15 (April 12, 2022). (See full author list here.)
  • 2019
  • Working Paper

Intelligent Artificiality: Algorithmic Microfoundations for Strategic Problem Solving

By: Mihnea Moldoveanu
This paper introduces algorithmic micro-foundations for formulating and solving strategic problems. It shows how the languages and disciplines of theoretical computer science, “artificial intelligence,” and computational complexity theory can be used to devise a set of... View Details
Keywords: Problems and Challenges; Analysis; Strategy; Framework; Management Analysis, Tools, and Techniques; Mathematical Methods
Citation
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Moldoveanu, Mihnea. "Intelligent Artificiality: Algorithmic Microfoundations for Strategic Problem Solving." Harvard Business School Working Paper, No. 19-072, January 2019. (Revised February 2019.)
  • October 2005 (Revised February 2010)
  • Background Note

Calculating Free Cash Flows

By: Robin Greenwood and David S. Scharfstein
Outlines the mechanics of calculating free cash flows from historical and proforma financial statements. Focuses on the mechanical process of transforming numbers from financial forecasts into cash flows. View Details
Keywords: Financial Statements; Forecasting and Prediction; Cash Flow; Mathematical Methods
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Greenwood, Robin, and David S. Scharfstein. "Calculating Free Cash Flows." Harvard Business School Background Note 206-028, October 2005. (Revised February 2010.)
  • Other Unpublished Work

A Technique to Estimate Retail Demand and Lost Sales

By: A. Raman and Giulio Zotteri
Keywords: Mathematical Methods; Demand and Consumers; Sales; Retail Industry
Citation
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Raman, A., and Giulio Zotteri. "A Technique to Estimate Retail Demand and Lost Sales."
  • 2018
  • Working Paper

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
Citation
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Hatfield, John William, Scott Duke Kominers, Alexandru Nichifor, Michael Ostrovsky, and Alexander Westkamp. "Full Substitutability." Harvard Business School Working Paper, No. 19-016.
  • Article

Testing Substitutability

By: John William Hatfield, Nicole Immorlica and Scott Duke Kominers
We provide an algorithm for testing the substitutability of a length-N preference relation over a set of contracts X in time O(|X|3⋅N3). Access to the preference relation is essential for this result: We show that a substitutability-testing algorithm with access only... View Details
Keywords: Substitutability; Matching; Communication Complexity; Preference Elicitation; Marketplace Matching; Communication; Mathematical Methods; Economics
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Hatfield, John William, Nicole Immorlica, and Scott Duke Kominers. "Testing Substitutability." Games and Economic Behavior 75, no. 2 (July 2012): 639–645.
  • 1980
  • Chapter

Network Analysis on Organization

By: Michael Tushman
Keywords: Organizational Design; Networks; Mathematical Methods
Citation
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Tushman, Michael. "Network Analysis on Organization." In Organizational Assessment: Perspectives on the Measurement of Organizational Behavior and the Quality of Working Life, edited by Edward Lawler. New York: John Wiley & Sons, 1980.
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