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    • News  (46)
    • Research  (310)
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  • Faculty Publications  (86)

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  • All HBS Web  (415)
    • News  (46)
    • Research  (310)
    • Events  (2)
  • Faculty Publications  (86)
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  • 2019
  • Article

Fair Algorithms for Learning in Allocation Problems

By: Hadi Elzayn, Shahin Jabbari, Christopher Jung, Michael J Kearns, Seth Neel, Aaron Leon Roth and Zachary Schutzman
Settings such as lending and policing can be modeled by a centralized agent allocating a scarce resource (e.g. loans or police officers) amongst several groups, in order to maximize some objective (e.g. loans given that are repaid, or criminals that are apprehended).... View Details
Keywords: Allocation Problems; Algorithms; Fairness; Learning
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Elzayn, Hadi, Shahin Jabbari, Christopher Jung, Michael J Kearns, Seth Neel, Aaron Leon Roth, and Zachary Schutzman. "Fair Algorithms for Learning in Allocation Problems." Proceedings of the Conference on Fairness, Accountability, and Transparency (2019): 170–179.
  • May 1997
  • Article

Self-Interest and Fairness in Problems of Resource Allocation

By: K. A. Diekmann, S. M. Samuels, L. Ross and M. H. Bazerman
Keywords: Resource Allocation; Problems and Challenges; Fairness
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Diekmann, K. A., S. M. Samuels, L. Ross, and M. H. Bazerman. "Self-Interest and Fairness in Problems of Resource Allocation." Journal of Personality and Social Psychology 72, no. 5 (May 1997): 1061–1074.
  • 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.)
  • June 2005
  • Article

Compensatory Transfers in Two-Player Decision Problems

By: Jerry R. Green
This paper presents an axiomatic characterization of a family of solutions to two-player quasi-linear social choice problems. In these problems the players select a single action from a set available to them. They may also transfer money between... View Details
Keywords: Bargaining; Cost Allocation; Decision Making
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Green, Jerry R. "Compensatory Transfers in Two-Player Decision Problems." International Journal of Game Theory 33, no. 2 (June 2005): 159–180.
  • Research Summary

Fairness and Efficiency in Resource Allocation

In studying the relationship of fairness and efficiency, Professor Trichakis takes the novel approach of looking at varied industries for unifying factors, and he pays special attention to inequities by incorporating both quantitative work in social welfare and the... View Details

  • 21 Jul 2008
  • Research & Ideas

Solving the Marketing Resources Allocation Puzzle

allocation decisions—in essence, a way to organize their thoughts. Basically, all marketing allocation problems need to be addressed in two steps. In the first step, an... View Details
Keywords: by Sean Silverthorne
  • 2009
  • Working Paper

Corrigendum to 'Resource-Monotonicity for House Allocation Problems'

By: Bettina-Elisabeth Klaus and Lars Ehlers

Ehlers and Klaus (2003) study so-called house allocation problems and claim to characterize all rules satisfying efficiency, independence of irrelevant objects, and resource-monotonicity on two preference domains (Ehlers and Klaus, 2003, Theorem 1).... View Details

Keywords: Equality and Inequality; Resource Allocation
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Klaus, Bettina-Elisabeth, and Lars Ehlers. "Corrigendum to 'Resource-Monotonicity for House Allocation Problems'." Harvard Business School Working Paper, No. 09-110, March 2009.
  • 06 Nov 2013
  • What Do You Think?

Is Top-Down Resource Allocation on the Rise?

Summing Up Is Business Agility a Product of Top-Down or Bottom-Up Resource Allocation? Respondents to this month's column provided possible explanations for greater reliance on top-down resource allocation processes (RAPs) while reminding... View Details
Keywords: by James Heskett
  • February 2024
  • Article

An Economic Framework for Vaccine Prioritization

By: Mohammad Akbarpour, Eric Budish, Piotr Dworczak and Scott Duke Kominers
We propose an economic framework for determining the optimal allocation of a scarce supply of vaccines that become gradually available during a public health crisis, such as the Covid-19 pandemic. Agents differ in observable and unobservable characteristics, and the... View Details
Keywords: Vaccine; Fairness; Public Finance; Public Goods; Allocation Problems; Allocative Efficiency; Allocation Rules; Social Welfare; Pandemics; Inequality; COVID-19; COVID-19 Pandemic; Public Sector; Resource Allocation; Market Design; Marketplace Matching; Public Administration Industry
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Akbarpour, Mohammad, Eric Budish, Piotr Dworczak, and Scott Duke Kominers. "An Economic Framework for Vaccine Prioritization." Quarterly Journal of Economics 139, no. 1 (February 2024): 359–417. (Authors' names are in certified random order.)
  • 06 Oct 2003
  • Research & Ideas

The Problem with Hedge Funds

claims to have but really doesn't—any more than the mutual funds had expertise in picking dot-com stocks. The banks argue that they have expertise allowing them to pick the better hedge funds in which to invest. And they provide statistical models that supposedly View Details
Keywords: by D. Quinn Mills
  • December 2012
  • Article

On the Efficiency-Fairness Trade-Off

By: Dimitris Bertsimas, Vivek F. Farias and Nikolaos Trichakis
This paper deals with a basic issue: How does one approach the problem of designing the "right" objective for a given resource allocation problem? The notion of what is right can be fairly nebulous; we consider two issues that we see as key: efficiency and fairness. We... View Details
Keywords: Decision Support; Cost vs Benefits; Fairness; Resource Allocation; Performance Efficiency; Air Transportation Industry
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Bertsimas, Dimitris, Vivek F. Farias, and Nikolaos Trichakis. "On the Efficiency-Fairness Trade-Off." Management Science 58, no. 12 (December 2012): 2234–2250.
  • January – February 2011
  • Article

The Price of Fairness

By: Dimitris Bertsimas, Vivek F. Farias and Nikolaos Trichakis
In this paper we study resource allocation problems that involve multiple self-interested parties or players and a central decision maker. We introduce and study the price of fairness, which is the relative system efficiency loss under a "fair" allocation assuming that... View Details
Keywords: Price; Fairness
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Bertsimas, Dimitris, Vivek F. Farias, and Nikolaos Trichakis. "The Price of Fairness." Operations Research 59, no. 1 (January–February 2011): 17–31.
  • November 2023
  • Article

Algorithmic Mechanism Design with Investment

By: Mohammad Akbarpour, Scott Duke Kominers, Kevin Michael Li, Shengwu Li and Paul Milgrom
We study the investment incentives created by truthful mechanisms that allocate resources using approximation algorithms. Some approximation algorithms guarantee nearly 100% of the optimal welfare, but have only a zero guarantee when one bidder can invest before... View Details
Keywords: Mechanism Design; Market Design; Auctions
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Akbarpour, Mohammad, Scott Duke Kominers, Kevin Michael Li, Shengwu Li, and Paul Milgrom. "Algorithmic Mechanism Design with Investment." Econometrica 91, no. 6 (November 2023): 1969–2003.
  • Article

Optimal Value and Growth Tilts in Long-Horizon Portfolios

By: Jakub W. Jurek and Luis M. Viceira
We develop an analytical solution to the dynamic portfolio choice problem of an investor with power utility defined over wealth at a finite horizon, who faces a time-varying investment opportunity set, parameterized using a flexible vector autoregression. We apply this... View Details
Keywords: Decision Choices and Conditions; Private Equity; Investment; Investment Portfolio; Asset Pricing; Value
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Jurek, Jakub W., and Luis M. Viceira. "Optimal Value and Growth Tilts in Long-Horizon Portfolios." Review of Finance 15, no. 1 (January 2011): 29–74.
  • September 2001
  • Background Note

Financial Reporting Environment, The

By: Paul M. Healy, Amy P. Hutton, Robert S. Kaplan and Krishna G. Palepu
Provides a framework for understanding the role of financial reporting and various intermediaries as mechanisms for reducing both adverse selection and moral hazard problems in capital markets. Financial reports reduce adverse selection by providing basic information... View Details
Keywords: Financial Reporting; Financial Statements; Capital Markets; Venture Capital; Corporate Disclosure; Conflict of Interests
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Healy, Paul M., Amy P. Hutton, Robert S. Kaplan, and Krishna G. Palepu. "Financial Reporting Environment, The." Harvard Business School Background Note 102-029, September 2001.
  • April 2018
  • Case

Hawk Electronics, Inc.

By: Richard G. Hamermesh and John J. Lafkas
Hawk Electronics ("Hawk") presents the problems that a company can encounter when its divisions have distinct strategies, especially when one division has been favored at another's expense. It also highlights how such problems can reflect cognitive biases, which... View Details
Keywords: Business Divisions; Resource Allocation; Strategy; Innovation and Management
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Hamermesh, Richard G., and John J. Lafkas. "Hawk Electronics, Inc." Harvard Business School Brief Case 918-521, April 2018.
  • Oct 2020
  • Conference Presentation

Optimal, Truthful, and Private Securities Lending

By: Emily Diana, Michael J. Kearns, Seth Neel and Aaron Leon Roth
We consider a fundamental dynamic allocation problem motivated by the problem of securities lending in financial markets, the mechanism underlying the short selling of stocks. A lender would like to distribute a finite number of identical copies of some scarce resource... View Details
Keywords: Differential Privacy; Mechanism Design; Finance; Mathematical Methods
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Diana, Emily, Michael J. Kearns, Seth Neel, and Aaron Leon Roth. "Optimal, Truthful, and Private Securities Lending." Paper presented at the 1st Association for Computing Machinery (ACM) International Conference on AI in Finance (ICAIF), October 2020.
  • July 1990
  • Case

Ceramics Process Systems Corp. (B)

By: Kim B. Clark and Brent D. Barnett
Ceramics Process Systems (CPS) is an advanced ceramics company facing problems with lead time in product/process development, and late delivery of prototype parts to its customers. Engineering is confronted with difficult technical problems and multiple objectives... View Details
Keywords: Product Development; Business Processes; Management Practices and Processes; Supply Chain Management; Machinery and Machining; Goals and Objectives; Resource Allocation; Customer Satisfaction; Customer Value and Value Chain; Manufacturing Industry
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Clark, Kim B., and Brent D. Barnett. "Ceramics Process Systems Corp. (B)." Harvard Business School Case 691-006, July 1990.
  • January 2014
  • Supplement

Dana Hall: Funding a Mission (D)

By: F. Warren McFarlan and Kaitlyn Szydlowski
This case is a sequel to Dana Hall: Funding a Mission (A), (B) and (C) cases. It focuses on the causes of recent fund-raising success and the complex resource allocation problems the School faces as it tries to deliver on its mission. In conjunction with the (A), (B) &... View Details
Keywords: Philanthropy; Mission and Purpose; Social Enterprise; Finance; Philanthropy and Charitable Giving
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McFarlan, F. Warren, and Kaitlyn Szydlowski. "Dana Hall: Funding a Mission (D)." Harvard Business School Supplement 114-031, January 2014.
  • November 1992 (Revised May 1993)
  • Case

BW/IP International, Inc.

By: Timothy A. Luehrman and Andrew D. Regan
Less than a year after completing a leveraged buyout of their own company, the managers of BW/IP International were presented with an attractive acquisition candidate. To buy the target company, however, BW/IP would have to borrow more money and take on more... View Details
Keywords: Leveraged Buyouts; Leadership Style; Valuation; Resource Allocation; Capital; Public Ownership
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Luehrman, Timothy A., and Andrew D. Regan. "BW/IP International, Inc." Harvard Business School Case 293-058, November 1992. (Revised May 1993.)
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