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  • All HBS Web  (854)
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Show Results For

  • All HBS Web  (854)
    • News  (79)
    • Research  (639)
    • Events  (14)
    • Multimedia  (4)
  • Faculty Publications  (632)
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  • 2008
  • Chapter

Matching and Market Design

By: Muriel Niederle, Alvin E. Roth and Tayfun Sonmez
Matching is the part of economics concerned with who transacts with whom and how. Models of matching, starting with the Gale-Shapley deferred acceptance algorithm, have been particularly useful in studying labour markets and in helping design clearinghouses to fix... View Details
Keywords: Market Design; Marketplace Matching; Outcome or Result; Mathematical Methods
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Niederle, Muriel, Alvin E. Roth, and Tayfun Sonmez. "Matching and Market Design." In The New Palgrave Dictionary of Economics. 2nd ed. Edited by Steven Derlauf and Larry Blume. Hampshire, U.K.: Palgrave Macmillan, 2008.
  • January 2003 (Revised February 2011)
  • Tool

Business Analysis and Valuation Model (Version 5)

By: Paul M. Healy, Krishna G. Palepu and Jonathan Barnett
Once you enter company financial statements, this software enables you to standardize them to a common format, make any needed adjustments to the company's accounting, and make assumptions about the company's future performance. The model then provides financial ratios... View Details
Keywords: Financial Statements; Standards; Mathematical Methods; Valuation
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"Business Analysis and Valuation Model (Version 5)." Harvard Business School Tool 103-701, January 2003. (Revised February 2011.)
  • January 1971 (Revised November 1975)
  • Background Note

Linear Programming: A Technique for Analyzing Resource Allocation Problems

By: Paul W. Marshall
Keywords: Problems and Challenges; Mathematical Methods; Management Analysis, Tools, and Techniques
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Marshall, Paul W. "Linear Programming: A Technique for Analyzing Resource Allocation Problems." Harvard Business School Background Note 171-322, January 1971. (Revised November 1975.)
  • 2022
  • Article

Data Poisoning Attacks on Off-Policy Evaluation Methods

By: Elita Lobo, Harvineet Singh, Marek Petrik, Cynthia Rudin and Himabindu Lakkaraju
Off-policy Evaluation (OPE) methods are a crucial tool for evaluating policies in high-stakes domains such as healthcare, where exploration is often infeasible, unethical, or expensive. However, the extent to which such methods can be trusted under adversarial threats... View Details
Keywords: Analytics and Data Science; Cybersecurity; Mathematical Methods
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Lobo, Elita, Harvineet Singh, Marek Petrik, Cynthia Rudin, and Himabindu Lakkaraju. "Data Poisoning Attacks on Off-Policy Evaluation Methods." Proceedings of the Conference on Uncertainty in Artificial Intelligence (UAI) 38th (2022): 1264–1274.
  • 2020
  • Working Paper

Contract Duration and the Costs of Market Transactions

By: Alexander MacKay
The optimal duration of a supply contract balances the costs of reselecting a supplier against the costs of being matched to an inefficient supplier when the contract lasts too long. I develop a structural model of contract duration that captures this tradeoff and... View Details
Keywords: Vertical Relationships; Transaction Costs; Contract Duration; Identification; Supply Chain; Cost; Contracts; Auctions; Mathematical Methods
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MacKay, Alexander. "Contract Duration and the Costs of Market Transactions." Harvard Business School Working Paper, No. 18-058, December 2017. (Revised May 2020. Direct download.)
  • 1977
  • Chapter

A Diagnostic Model for Organizational Behavior

By: D. Nadler and M. Tushman
Keywords: Mathematical Methods; Organizational Design; Organizational Structure; Behavior
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Nadler, D., and M. Tushman. "A Diagnostic Model for Organizational Behavior." In Perspectives on Behavior in Organizations, edited by Richard J. Hackman, Edward E. Lawler, Lyman W. Porter, and Patricia S. Nave. New York: McGraw-Hill, 1977.
  • Article

Formal Measures in Informal Management: Can a Balanced Scorecard Change a Culture?

By: Robert Gibbons and Robert S. Kaplan
Agency theorists, historically, have analyzed what kinds of performance measures should be used in formal incentive contracts. For example, after Kaplan-Norton proposed a balanced scorecard of both financial and non-financial measures, some envisioned its role only in... View Details
Keywords: Relational Contracts; Performance Measurement; Informal Management; Balanced Scorecard; Economics; Mathematical Methods
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Gibbons, Robert, and Robert S. Kaplan. "Formal Measures in Informal Management: Can a Balanced Scorecard Change a Culture?" American Economic Review: Papers and Proceedings 105, no. 5 (May 2015).
  • 2007
  • Working Paper

Deferred Acceptance Algorithms: History, Theory, Practice, and Open Questions

By: Alvin E. Roth
The deferred acceptance algorithm proposed by Gale and Shapley (1962) has had a profound influence on market design, both directly, by being adapted into practical matching mechanisms, and, indirectly, by raising new theoretical questions. Deferred acceptance... View Details
Keywords: Education; Marketplace Matching; Market Design; Mathematical Methods; Theory; Practice
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Roth, Alvin E. "Deferred Acceptance Algorithms: History, Theory, Practice, and Open Questions." NBER Working Paper Series, No. 13225, July 2007.
  • Article

Wealth-Making in Nineteenth and Early Twentieth Century Britain: Industry v. Commerce and Finance

By: Tom Nicholas
This paper refutes the hypothesis put forward by W.D. Rubinstein that a disproportionately large share of Britain's wealth makers were active in commercial and financial trades in London. We use a data set of businessmen active in nineteenth- and early... View Details
Keywords: Trade; Finance; Commercialization; Mathematical Methods; Wealth and Poverty; Great Britain; London
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Nicholas, Tom. "Wealth-Making in Nineteenth and Early Twentieth Century Britain: Industry v. Commerce and Finance." Business History 41, no. 1 (January 1999).
  • January 1994
  • Case

Evolving Finance Function: Judy C. Lewent at Merck & Co., Inc.

By: Timothy A. Luehrman
This case examines the career path of Merck's CFO, Judy C. Lewent, as a way of tracing changes over time in Merck's finance function. It describes the adoption of innovative quantitative analytical models, changes in job definitions and in the organization of the... View Details
Keywords: Finance; Mathematical Methods; Personal Development and Career; Organizational Design; Innovation and Invention; Pharmaceutical Industry
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Luehrman, Timothy A. "Evolving Finance Function: Judy C. Lewent at Merck & Co., Inc." Harvard Business School Case 294-014, January 1994.
  • 2023
  • Article

Estimating Causal Peer Influence in Homophilous Social Networks by Inferring Latent Locations.

By: Edward McFowland III and Cosma Rohilla Shalizi
Social influence cannot be identified from purely observational data on social networks, because such influence is generically confounded with latent homophily, that is, with a node’s network partners being informative about the node’s attributes and therefore its... View Details
Keywords: Causal Inference; Homophily; Social Networks; Peer Influence; Social and Collaborative Networks; Power and Influence; Mathematical Methods
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McFowland III, Edward, and Cosma Rohilla Shalizi. "Estimating Causal Peer Influence in Homophilous Social Networks by Inferring Latent Locations." Journal of the American Statistical Association 118, no. 541 (2023): 707–718.
  • August 2020
  • Technical Note

Comparing Two Groups: Sampling and t-Testing

By: Iavor I Bojinov, Chiara Farronato, Yael Grushka-Cockayne, Willy C. Shih and Michael W. Toffel
This note describes sampling and t-tests, two fundamental statistical concepts. View Details
Keywords: Statistics; Econometric Analyses; Experimental Methods; Data Analysis; Data Analytics; Analytics and Data Science; Analysis; Surveys; Mathematical Methods
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Bojinov, Iavor I., Chiara Farronato, Yael Grushka-Cockayne, Willy C. Shih, and Michael W. Toffel. "Comparing Two Groups: Sampling and t-Testing." Harvard Business School Technical Note 621-044, August 2020.
  • 2017
  • Working Paper

Identifying Sources of Inefficiency in Health Care

By: Amitabh Chandra and Douglas O. Staiger
In medicine, the reasons for variation in treatment rates across hospitals serving similar patients are not well understood. Some interpret this variation as unwarranted and push standardization of care as a way of reducing allocative inefficiency. However, an... View Details
Keywords: Health Care and Treatment; Performance Efficiency; Performance Productivity; Mathematical Methods
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Chandra, Amitabh, and Douglas O. Staiger. "Identifying Sources of Inefficiency in Health Care." NBER Working Paper Series, No. 24035, November 2017.
  • Fall 2012
  • Article

Innovation Strategy and Entry Deterrence

By: Ozge Turut and Elie Ofek
We model an incumbent's decision to pursue radical or incremental innovation when facing a rival entrant. The radical innovation may yield lucrative financial returns but entails significant technological and market-related uncertainties. It is also particularly... View Details
Keywords: Competition; Innovation Strategy; Risk and Uncertainty; Markets; Mathematical Methods
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Turut, Ozge, and Elie Ofek. "Innovation Strategy and Entry Deterrence." Journal of Economics & Management Strategy 12, no. 3 (Fall 2012).
  • 2007
  • Working Paper

The Political Economy of 'Natural' Disasters

By: Charles Cohen and Eric D. Werker
Natural disasters occur in a political space. Although events beyond our control may trigger a disaster, the level of government preparedness and response greatly determines the extent of suffering incurred by the affected population. We use a political economy model... View Details
Keywords: Policy; Government and Politics; Strategic Planning; Mathematical Methods; Natural Disasters; Welfare or Wellbeing
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Cohen, Charles, and Eric D. Werker. "The Political Economy of 'Natural' Disasters." Harvard Business School Working Paper, No. 08-040, December 2007. (Revised November 2008.)
  • July 2019
  • Article

Optimal Capital Structure and Bankruptcy Choice: Dynamic Bargaining vs Liquidation

By: Samuel Antill and Steven R. Grenadier
We model a firm’s optimal capital structure decision in a framework in which it may later choose to enter either Chapter 11 reorganization or Chapter 7 liquidation. Creditors anticipate equityholders’ ex-post reorganization incentives and price them into the ex-ante... View Details
Keywords: Default; Dynamic Bargaining; Capital Structure; Insolvency and Bankruptcy; Mathematical Methods
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Antill, Samuel, and Steven R. Grenadier. "Optimal Capital Structure and Bankruptcy Choice: Dynamic Bargaining vs Liquidation." Journal of Financial Economics 133, no. 1 (July 2019): 198–224.
  • 2018
  • Working Paper

Algorithm Appreciation: People Prefer Algorithmic to Human Judgment

By: Jennifer M. Logg, Julia A. Minson and Don A. Moore
Even though computational algorithms often outperform human judgment, received wisdom suggests that people may be skeptical of relying on them (Dawes, 1979). Counter to this notion, results from six experiments show that lay people adhere more to advice when they think... View Details
Keywords: Algorithms; Accuracy; Advice Taking; Forecasting; Theory Of Machine; Mathematical Methods; Decision Making; Forecasting and Prediction; Trust
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Logg, Jennifer M., Julia A. Minson, and Don A. Moore. "Algorithm Appreciation: People Prefer Algorithmic to Human Judgment." Harvard Business School Working Paper, No. 17-086, March 2017. (Revised April 2018.)
  • 2011
  • Working Paper

Price Competition under Multinomial Logit Demand Functions with Random Coefficients

In this paper, we postulate a general class of price competition models with Mixed Multinomial Logit demand functions under affine cost functions. We first characterize the equilibrium behavior of this class of models in the case where each product in the market is... View Details
Keywords: Customers; Income Characteristics; Price; Product Marketing; Mathematical Methods; Competition; Segmentation
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Allon, Gad, Awi Federgruen, and Margaret Pierson. "Price Competition under Multinomial Logit Demand Functions with Random Coefficients." Harvard Business School Working Paper, No. 12-030, October 2011.
  • May 2004
  • Article

The Case for International Coordination of Electricity Regulation: Evidence from the Measurement of Efficiency in South America

A decade of experience has shown that monitoring the performance of public and private monopolies is the hardest part of electricity sector reform in South America—because operators control most of the information needed for effective regulation. South American... View Details
Keywords: Information; Mathematical Methods; Monopoly; Globalization; Energy Sources; Energy Industry; South America
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Ruzzier, Christian Alejandro, A. Estache, and M. Rossi. "The Case for International Coordination of Electricity Regulation: Evidence from the Measurement of Efficiency in South America." Journal of Regulatory Economics 25, no. 3 (May 2004): 271–295.
  • 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
Keywords: Energy; Demand and Consumers; Price; Policy; Mathematical Methods
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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.
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