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Publications

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    • All HBS Web  (308)
      • Faculty Publications  (156)

      Mathematical ModelingRemove Mathematical Modeling →

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      • 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.
      • 14 Aug 2017
      • Conference Presentation

      A Convex Framework for Fair Regression

      By: Richard Berk, Hoda Heidari, Shahin Jabbari, Matthew Joseph, Michael J. Kearns, Jamie Morgenstern, Seth Neel and Aaron Roth
      We introduce a flexible family of fairness regularizers for (linear and logistic) regression problems. These regularizers all enjoy convexity, permitting fast optimization, and they span the range from notions of group fairness to strong individual fairness. By varying... View Details
      Keywords: Regression Models; Machine Learning; Fairness; Framework; Mathematical Methods
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      Berk, Richard, Hoda Heidari, Shahin Jabbari, Matthew Joseph, Michael J. Kearns, Jamie Morgenstern, Seth Neel, and Aaron Roth. "A Convex Framework for Fair Regression." Paper presented at the 4th Workshop on Fairness, Accountability, and Transparency in Machine Learning, Special Interest Group on Knowledge Discovery and Data Mining (SIGKDD), August 14, 2017.
      • May 2017
      • Article

      Agent-based Modeling: A Guide for Social Psychologists

      By: Joshua Conrad Jackson, David Rand, Kevin Lewis, Michael I. Norton and Kurt Gray
      Agent-based modeling is a longstanding but underused method that allows researchers to simulate artificial worlds for hypothesis testing and theory building. Agent-based models (ABMs) offer unprecedented control and statistical power by allowing researchers to... View Details
      Keywords: Social Psychology; Marketing; Mathematical Methods
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      Jackson, Joshua Conrad, David Rand, Kevin Lewis, Michael I. Norton, and Kurt Gray. "Agent-based Modeling: A Guide for Social Psychologists." Social Psychological & Personality Science 8, no. 4 (May 2017): 387–395.
      • 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.
      • 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.
      • 2016
      • Working Paper

      Refugee Resettlement

      By: David Delacretaz, Scott Duke Kominers and Alexander Teytelboym
      Over 100,000 refugees are permanently resettled from refugee camps to hosting countries every year. Nevertheless, refugee resettlement processes in most countries are ad hoc, accounting for neither the priorities of hosting communities nor the preferences of refugees... View Details
      Keywords: Refugees; Marketplace Matching; Mathematical Methods
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      Delacretaz, David, Scott Duke Kominers, and Alexander Teytelboym. "Refugee Resettlement." Working Paper, November 2016.
      • Article

      Crowdsourcing City Government: Using Tournaments to Improve Inspection Accuracy

      By: Edward Glaeser, Andrew Hillis, Scott Duke Kominers and Michael Luca
      The proliferation of big data makes it possible to better target city services like hygiene inspections, but city governments rarely have the in-house talent needed for developing prediction algorithms. Cities could hire consultants, but a cheaper alternative is to... View Details
      Keywords: User-generated Content; Operations; Tournaments; Policy-making; Machine Learning; Online Platforms; Analytics and Data Science; Mathematical Methods; City; Infrastructure; Business Processes; Government and Politics
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      Glaeser, Edward, Andrew Hillis, Scott Duke Kominers, and Michael Luca. "Crowdsourcing City Government: Using Tournaments to Improve Inspection Accuracy." American Economic Review: Papers and Proceedings 106, no. 5 (May 2016): 114–118.
      • 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).
      • Article

      Aztec Castles and the dP3 Quiver

      By: Megan Leoni, Gregg Musiker, Seth Neel and Paxton Turner
      Bipartite, periodic, planar graphs known as brane tilings can be associated to a large class of quivers. This paper will explore new algebraic properties of the well-studied del Pezzo 3 (dP3) quiver and geometric properties of its corresponding brane tiling. In... View Details
      Keywords: Brane Tiling; Del Pezzo 3 Lattice; Dimer Model; Mathematical Methods
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      Leoni, Megan, Gregg Musiker, Seth Neel, and Paxton Turner. "Aztec Castles and the dP3 Quiver." Journal of Physics A: Mathematical and Theoretical 47, no. 47 (November 28, 2014).
      • 2013
      • Working Paper

      Applying Random Coefficient Models to Strategy Research: Testing for Firm Heterogeneity, Predicting Firm-Specific Coefficients, and Estimating Strategy Trade-Offs

      By: Juan Alcacer, Wilbur Chung, Ashton Hawk and Goncalo Pacheco-de-Almeida
      Although Strategy research aims to understand how firm actions have differential effects on performance, most empirical research estimates the average effects of these actions across firms. This paper promotes Random Coefficients Models (RCMs) as an ideal empirical... View Details
      Keywords: Strategy; Mathematical Methods
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      Alcacer, Juan, Wilbur Chung, Ashton Hawk, and Goncalo Pacheco-de-Almeida. "Applying Random Coefficient Models to Strategy Research: Testing for Firm Heterogeneity, Predicting Firm-Specific Coefficients, and Estimating Strategy Trade-Offs." Harvard Business School Working Paper, No. 14-022, September 2013.
      • 2013
      • Working Paper

      Where do the Most Active Customers Originate and How Can Firms Keep Them Engaged?

      By: Clarence Lee, E. Ofek and Thomas Steenburgh
      In this paper, we study how firms offering Web services can acquire and develop an active customer base. We focus on two basic questions. First, how does the method of customer acquisition affect the way customers use the service to meet their own needs and to interact... View Details
      Keywords: Customer Engagement; Adoption Routes; Hidden Markov Models; Search; Word-of-Mouth; Digital Media; Customer Relationship Management; Internet and the Web; Mathematical Methods; Consumer Behavior; Entrepreneurship; Marketing Reference Programs; Web Services Industry
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      Lee, Clarence, E. Ofek, and Thomas Steenburgh. "Where do the Most Active Customers Originate and How Can Firms Keep Them Engaged?" Working Paper, 2013. (Revise and Resubmit at Management Science.)
      • 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).
      • August 2012
      • Article

      Organ Allocation Policy and the Decision to Donate

      By: Judd B. Kessler and Alvin E. Roth
      Organ donations from deceased donors (cadavers) provide the majority of transplanted organs in the United States, and one deceased donor can save numerous lives by providing multiple organs. Nevertheless, most Americans are not registered organ donors despite the... View Details
      Keywords: Organ Donation; Health; Philanthropy and Charitable Giving; Decision Making; Resource Allocation; Mathematical Methods; United States
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      Kessler, Judd B., and Alvin E. Roth. "Organ Allocation Policy and the Decision to Donate." American Economic Review 102, no. 5 (August 2012): 2018–2047.
      • 2011
      • Working Paper

      Free to Punish? The American Dream and the Harsh Treatment of Criminals

      By: Rafael Di Tella and Juan Dubra
      We describe the evolution of selective aspects of punishment in the U.S. over the period 1980-2004. We note that imprisonment increased around 1980, a period that coincides with the "Reagan revolution" in economic matters. We build an economic model where beliefs about... View Details
      Keywords: Crime and Corruption; Economy; Moral Sensibility; Mathematical Methods; Opportunities; Behavior; United States
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      Di Tella, Rafael, and Juan Dubra. "Free to Punish? The American Dream and the Harsh Treatment of Criminals." NBER Working Paper Series, No. 17309, August 2011.
      • June 2011 (Revised January 2013)
      • Case

      Oddo Securities―ESG Integration

      By: Paul M. Healy
      The case describes the process of integrating environmental, social, and governance issues into valuation models and research analyst recommendations. View Details
      Keywords: Financial Strategy; Mathematical Methods; Integration; Valuation; Environmental Sustainability; Social Issues; Governance Controls; Investment
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      Serafeim, George, Paul M. Healy, and Aldo Sesia. "Oddo Securities―ESG Integration." Harvard Business School Case 111-085, June 2011. (Revised January 2013.)
      • 2011
      • Working Paper

      The Institutional Logic of Great Global Firms

      By: Rosabeth Moss Kanter
      Theories of the firm have been dominated by a legacy of ideas from early industrialization that pose zero-sum opposition between capital and labor (or capital and nearly everything else), differentiating the economy from society and often posing irreconcilable... View Details
      Keywords: Economy; Capital; Globalized Firms and Management; Labor; Corporate Social Responsibility and Impact; Practice; Conflict of Interests; Social Issues; Theory
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      Kanter, Rosabeth Moss. "The Institutional Logic of Great Global Firms." Harvard Business School Working Paper, No. 11-119, May 2011.
      • Article

      An Exploration of Optimal Stabilization Policy

      By: N. Gregory Mankiw and Matthew C. Weinzierl
      This paper examines the optimal response of monetary and fiscal policy to a decline in aggregate demand. The theoretical framework is a two-period general equilibrium model in which prices are sticky in the short-run and flexible in the long-run. Policy is evaluated by... View Details
      Keywords: Fiscal Policy; Monetary Policy; Economic Models; Aggregate Demand; Demand and Consumers; Money; Mathematical Methods; Taxation; Spending; Policy; Welfare; Household; Economic Slowdown and Stagnation
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      Mankiw, N. Gregory, and Matthew C. Weinzierl. "An Exploration of Optimal Stabilization Policy." Brookings Papers on Economic Activity (Spring 2011). (Also Harvard Business School Working Paper, No. 11-113, May 2011 and NBER Working Paper Series, No. 17029, May 2011.)
      • September 2010 (Revised November 2010)
      • Case

      J.P. Morgan Private Bank: Risk Management during the Financial Crisis 2008-2009

      By: Anette Mikes, Clayton S. Rose and Aldo Sesia
      Mary Erdoes, the CEO of JP Morgan's asset management business, and three colleagues provide insights into risk management issues faced by the firm's private bank during the financial crisis in 2008–2009. The case provides perspective on the philosophy with which they... View Details
      Keywords: Judgments; Financial Crisis; Globalized Firms and Management; Management Analysis, Tools, and Techniques; Risk Management; Mathematical Methods; Banking Industry; United States
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      Mikes, Anette, Clayton S. Rose, and Aldo Sesia. "J.P. Morgan Private Bank: Risk Management during the Financial Crisis 2008-2009." Harvard Business School Case 311-003, September 2010. (Revised November 2010.)
      • September 2010
      • Article

      Do Inventory and Gross Margin Data Improve Sales Forecasts for U.S. Public Retailers?

      By: Saravanan Kesavan, Vishal Gaur and Ananth Raman
      Firm-level sales forecasts for retailers can be improved if we incorporate cost of goods sold, inventory, and gross margin (defined here as the ratio of sales to cost of goods sold) as three endogenous variables. We construct a simultaneous equations model, estimated... View Details
      Keywords: Sales; Forecasting and Prediction; Distribution; Goods and Commodities; Cost; Public Sector; Profit; Mathematical Methods; Analytics and Data Science; Retail Industry; United States
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      Kesavan, Saravanan, Vishal Gaur, and Ananth Raman. "Do Inventory and Gross Margin Data Improve Sales Forecasts for U.S. Public Retailers?" Management Science 56, no. 9 (September 2010): 1519–1533.
      • July 2010
      • Supplement

      Marketing Analysis Toolkit: Customer Lifetime Value Analysis (CW)

      By: Thomas J. Steenburgh and Jill Avery
      Customers are increasingly being viewed as assets that bring value to the firm. Customer lifetime value is a metric which allows managers to understand the overall value of their customer base and relate it to three customer strategies firms employ: asset acquisition -... View Details
      Keywords: Competency and Skills; Customer Relationship Management; Customer Value and Value Chain; Decisions; Framework; Management Practices and Processes; Marketing; Marketing Strategy; Strategic Planning; Mathematical Methods; Value
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      Steenburgh, Thomas J., and Jill Avery. "Marketing Analysis Toolkit: Customer Lifetime Value Analysis (CW)." Harvard Business School Spreadsheet Supplement 511-702, July 2010.
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