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      Mathematical MethodsRemove Mathematical Methods →

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      • November 2012
      • Article

      The Variance of Non-Parametric Treatment Effect Estimators in the Presence of Clustering

      By: Samuel G. Hanson and Adi Sunderam
      Non-parametric estimators of treatment effects are often applied in settings where clustering may be important. We provide a general methodology for consistently estimating the variance of a large class of non-parametric estimators, including the simple matching... View Details
      Keywords: Treatment Effects; Matching Estimators; Clustering; Applications and Software; Mathematical Methods
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      Hanson, Samuel G., and Adi Sunderam. "The Variance of Non-Parametric Treatment Effect Estimators in the Presence of Clustering." Review of Economics and Statistics 94, no. 4 (November 2012). (Stata and Matlab Code Here.)
      • 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).
      • 2012
      • Article

      Mutual Fund Trading Pressure: Firm-Level Stock Price Impact and Timing of SEOs

      By: Mozaffar N. Khan, Leonid Kogan and George Serafeim
      In tests of the equity market timing theory of external finance, the prior literature has used overvaluation identifiers such as high market-to-book and high prior returns that are likely correlated with other determinants of SEOs. We use price pressure resulting from... View Details
      Keywords: Equity; Market Transactions; Valuation; Capital Structure; Market Timing; Mathematical Methods; Acquisition
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      Khan, Mozaffar N., Leonid Kogan, and George Serafeim. "Mutual Fund Trading Pressure: Firm-Level Stock Price Impact and Timing of SEOs." Journal of Finance 67, no. 4 (August 2012): 1371–1395.
      • 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.
      • 2012
      • Working Paper

      Level II Negotiations: Helping the Other Side Meet Its 'Behind the Table' Challenges

      By: James K. Sebenius
      A long analytic tradition explores the challenge of productively synchronizing "internal" with "external" negotiations, especially focusing on how each side can best manage internal opposition to agreements negotiated "at the table." Implicit in much of this work is... View Details
      Keywords: Negotiation; Conflict Management; Agreements and Arrangements; Government and Politics; Mathematical Methods; United States; Germany
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      Sebenius, James K. "Level II Negotiations: Helping the Other Side Meet Its 'Behind the Table' Challenges." Harvard Business School Working Paper, No. 13-004, July 2012.
      • July 2012
      • Article

      Discrete Choice Cannot Generate Demand That Is Additively Separable in Own Price

      By: Sonia Jaffe and Scott Duke Kominers
      We show that in a unit demand discrete choice framework with at least three goods, demand cannot be additively separable in own price. This result sharpens the analogous result of Jaffe and Weyl (2010) in the case of linear demand and has implications for testing of... View Details
      Keywords: Discrete Choice; Unit Demand; Separable Demand; Linear Demand; Demand and Consumers; Market Design; Mathematical Methods; Economics
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      Jaffe, Sonia, and Scott Duke Kominers. "Discrete Choice Cannot Generate Demand That Is Additively Separable in Own Price." Economics Letters 116, no. 1 (July 2012): 129–132.
      • 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.
      • May 2012
      • Article

      Complicated Firms

      By: Lauren Cohen and Dong Lou
      We exploit a novel setting in which the same piece of information affects two sets of firms: one set of firms requires straightforward processing to update prices, while the other set requires more complicated analyses to incorporate the same piece of information into... View Details
      Keywords: Investment Portfolio; Information; Price; Forecasting and Prediction; Complexity; Mathematical Methods
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      Cohen, Lauren, and Dong Lou. "Complicated Firms." Journal of Financial Economics 104, no. 2 (May 2012). (Winner of Istanbul Stock Exchange 25th Anniversary Best Paper Competition. First Prize presented by Istanbul Stock Exchange. Winner of Center for Research in Security Prices Forum. Best Paper Prize presented by University of Chicago Booth School of Business. Winner of Paul Woolley Centre for the Study of Capital Market Dysfunctionality. Academic Grant presented by Paul Woolley Centre for the Study of Capital Market Dysfunctionality. Winner of Crowell Memorial Prize For the best paper on quantitative investing presented by PanAgora Asset Management, Inc.)
      • April 2012
      • Article

      Bouncing Out of the Banking System: An Empirical Analysis of Involuntary Bank Account Closures

      By: Dennis Campbell, F. Asis Martinez-Jerez and Peter Tufano
      Using a new database, we document the factors that relate to the extent of involuntary consumer bank account closure resulting from excessive overdraft activity. Consumers who have accounts involuntarily closed for overdraft activity may have limited or no access to... View Details
      Keywords: Mathematical Methods; Customers; Social Issues; Outcome or Result; Budgets and Budgeting; Forecasting and Prediction; Competition; Banks and Banking; Policy; Personal Characteristics; Credit; Employment; United States
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      Campbell, Dennis, F. Asis Martinez-Jerez, and Peter Tufano. "Bouncing Out of the Banking System: An Empirical Analysis of Involuntary Bank Account Closures." Journal of Banking & Finance 36, no. 4 (April 2012): 1224–1235.
      • March 2012 (Revised January 2013)
      • Case

      Boston Children's Hospital: Measuring Patient Costs

      By: Robert S. Kaplan, Mary L. Witkowski and Jessica A. Hohman
      The case describes two pilot projects on applying activity-based costing to measuring the cost of treating patients. It presents process maps and financial data relating to the processes used during (1) an office visit to a plastic surgeon for three different diagnoses... View Details
      Keywords: Health Care; Time-Driven Activity-Based Costing; Costing; Hospitals; Activity Based Costing and Management; Mathematical Methods; Health Industry
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      Kaplan, Robert S., Mary L. Witkowski, and Jessica A. Hohman. "Boston Children's Hospital: Measuring Patient Costs." Harvard Business School Case 112-086, March 2012. (Revised January 2013.)
      • Article

      Hinged Dissections Exist

      By: Timothy G. Abbott, Zachary Abel, David Charlton, Erik D. Demaine, Martin L. Demaine and Scott Duke Kominers
      We prove that any finite collection of polygons of equal area has a common hinged dissection. That is, for any such collection of polygons there exists a chain of polygons hinged at vertices that can be folded in the plane continuously without self-intersection to form... View Details
      Keywords: Folding; Reconfiguration; Hinge; Plygon; Refinement; Mathematical Methods
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      Abbott, Timothy G., Zachary Abel, David Charlton, Erik D. Demaine, Martin L. Demaine, and Scott Duke Kominers. "Hinged Dissections Exist." Discrete & Computational Geometry 47, no. 1 (January 2012): 150–186.
      • October 2011
      • Article

      The Surprising Power of Age-Dependent Taxes

      By: Matthew C. Weinzierl
      This article provides a new, empirically driven application of the dynamic Mirrleesian framework by studying a feasible and potentially powerful tax reform: age-dependent labor income taxation. I show analytically how age dependence improves policy on both the... View Details
      Keywords: Taxation; Policy; Age; Income; Mathematical Methods; Welfare; United States
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      Weinzierl, Matthew C. "The Surprising Power of Age-Dependent Taxes." Review of Economic Studies 78, no. 4 (October 2011): 1490–1518. (Also Harvard Business School Working Paper, No. 11-114, May 2011.)
      • September 2011 (Revised July 2012)
      • Case

      Building Watson: Not So Elementary, My Dear!

      By: Willy Shih
      This case is set inside IBM Research's efforts to build a computer that can successfully take on human challengers playing the game show Jeopardy! It opens with the machine named Watson offering the incorrect answer "Toronto" to a seemingly simple question during the... View Details
      Keywords: Technological Innovation; Standards; Product Development; Organizational Change and Adaptation; Mathematical Methods; Research and Development; Information Technology
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      Shih, Willy. "Building Watson: Not So Elementary, My Dear!" Harvard Business School Case 612-017, September 2011. (Revised July 2012.)
      • 2011
      • Working Paper

      The Cost of Capital for Alternative Investments

      By: Jakub W. Jurek and Erik Stafford
      This paper studies the cost of capital for alternative investments. We document that the risk profile of the aggregate hedge fund universe can be accurately matched by a simple index put option writing strategy that offers monthly liquidity and complete transparency... View Details
      Keywords: Cost of Capital; Financial Liquidity; Investment; Investment Return; Mathematical Methods; Risk and Uncertainty
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      Jurek, Jakub W., and Erik Stafford. "The Cost of Capital for Alternative Investments." Harvard Business School Working Paper, No. 12-013, September 2011. (NBER Working Paper Series, No. 19643, November 2013.)
      • 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.)
      • May 2011
      • Teaching Note

      Baria Planning Solutions, Inc.: Fixing the Sales Process (Brief Case)

      By: Steven C. Wheelwright and William Schmidt
      Teaching Note for 4568. View Details
      Keywords: Quantitative Analysis; Technology; Operations Management; Product Lines; Manufacturing; Capacity Planning; Production Planning; Information Technology; Production; Mathematical Methods; Performance Capacity; Product Development; Planning; Manufacturing Industry
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      Wheelwright, Steven C., and William Schmidt. "Baria Planning Solutions, Inc.: Fixing the Sales Process (Brief Case)." Harvard Business School Teaching Note 114-569, May 2011.
      • May 2011
      • Teaching Note

      The Morrison Company (Brief Case)

      By: Steven C. Wheelwright and Paul Meyers
      Teaching Note for 4564. View Details
      Keywords: Quantitative Analysis; Technology; Operations Management; Product Lines; Manufacturing; Capacity Planning; Production Planning; Information Technology; Production; Mathematical Methods; Performance Capacity; Product Development; Planning; Manufacturing Industry
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      Wheelwright, Steven C., and Paul Meyers. "The Morrison Company (Brief Case)." Harvard Business School Teaching Note 114-565, May 2011.
      • May 2011
      • Article

      Race at the Top: How Companies Shape the Inclusion of African Americans on Their Boards in Response to Institutional Pressures

      By: Clayton S. Rose and William T. Bielby
      Drawing on institutionalist theory, we conceptualize the racial composition of the boards of directors of large American companies as shaped in response to social and political norms. We use new longitudinal and cross-sectional data to test hypotheses about factors... View Details
      Keywords: Leadership; Governing and Advisory Boards; Race; Mathematical Methods; Government and Politics; Public Ownership; United States
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      Rose, Clayton S., and William T. Bielby. "Race at the Top: How Companies Shape the Inclusion of African Americans on Their Boards in Response to Institutional Pressures." Social Science Research 40, no. 3 (May 2011): 841–859.
      • April 2011
      • Teaching Note

      Porcini's Pronto: "Great Italian cuisine without the wait!" (Brief Case)

      By: James L. Heskett and Richard Luecke
      Teaching Note to 4277. View Details
      Keywords: Franchising; Syndication; Quantitative Analysis; Performance Measurement; Human Resource Management; Incentives; Motivation; Management; Motivation and Incentives; Consumer Behavior; Mathematical Methods; Franchise Ownership; Human Resources; Performance Evaluation
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      Heskett, James L., and Richard Luecke. Porcini's Pronto: "Great Italian cuisine without the wait!" (Brief Case). Harvard Business School Teaching Note 114-278, April 2011.
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