Skip to Main Content
HBS Home
  • About
  • Academic Programs
  • Alumni
  • Faculty & Research
  • Baker Library
  • Giving
  • Harvard Business Review
  • Initiatives
  • News
  • Recruit
  • Map / Directions
Faculty & Research
  • Faculty
  • Research
  • Featured Topics
  • Academic Units
  • …→
  • Harvard Business School→
  • Faculty & Research→
  • Research
    • Research
    • Publications
    • Global Research Centers
    • Case Development
    • Initiatives & Projects
    • Research Services
    • Seminars & Conferences
    →
  • Publications→

Publications

Publications

Filter Results: (429) Arrow Down
Filter Results: (429) Arrow Down Arrow Up

Show Results For

  • All HBS Web  (855)
    • Faculty Publications  (429)

    Show Results For

    • All HBS Web  (855)
      • Faculty Publications  (429)

      mathematicsRemove mathematics →

      ← Page 8 of 429 Results →

      Are you looking for?

      →Search All HBS Web
      • June 2013 (Revised November 2022)
      • Exercise

      Competition Simulator Exercise

      By: Eric J. Van den Steen
      In the Competition Simulator Exercise, students explore through trial and error some important economic foundations of competitive strategy and managerial economics. In particular, the nine simulator exercises let students explore horizontal differentiation with and... View Details
      Keywords: Competition; Economics; Game Theory; Competitive Strategy; Learning; Mathematical Methods; Analysis
      Citation
      Purchase
      Related
      Van den Steen, Eric J. "Competition Simulator Exercise." Harvard Business School Exercise 713-804, June 2013. (Revised November 2022.)
      • April 2013
      • Case

      Managing with Analytics at Procter & Gamble

      By: Thomas H. Davenport, Marco Iansiti and Alain Serels
      Senior management at P&G has put a strong emphasis on using data to make "better, smarter, real-time business decisions." The Global Business Services (GBS) organization has developed tools, systems and processes to provide managers throughout P&G with direct access to... View Details
      Keywords: Analytics; Data Management; Forecasting; Shared Services; Procter & Gamble; Laundry Detergent; Information Management; Forecasting and Prediction; Information Technology; Mathematical Methods; Consumer Products Industry; North America
      Citation
      Educators
      Purchase
      Related
      Davenport, Thomas H., Marco Iansiti, and Alain Serels. "Managing with Analytics at Procter & Gamble." Harvard Business School Case 613-045, April 2013.
      • 2013
      • Chapter

      Weighted Generating Functions for Type II Lattices and Codes

      By: Noam D. Elkies and Scott Duke Kominers
      We give a new structural development of harmonic polynomials on Hamming space, and harmonic weight enumerators of binary linear codes, that parallels one approach to harmonic polynomials on Euclidean space and weighted theta functions of Euclidean lattices. Namely, we... View Details
      Keywords: Mathematical Methods
      Citation
      Find at Harvard
      Read Now
      Related
      Elkies, Noam D., and Scott Duke Kominers. "Weighted Generating Functions for Type II Lattices and Codes." In Quadratic and Higher Degree Forms. Vol. 31, edited by Alladi Krishnaswami, Manjul Bhargava, David Savitt, and Pham Huu Tiep, 63–108. Developments in Mathematics. Springer, 2013.
      • Article

      Assent-maximizing Social Choice

      By: Katherine A. Baldiga and Jerry R. Green
      We take a decision theoretic approach to the classic social choice problem, using data on the frequency of choice problems to compute social choice functions. We define a family of social choice rules that depend on the population's preferences and on the probability... View Details
      Keywords: Decision Choices and Conditions; Theory; Measurement and Metrics; Mathematical Methods; Society
      Citation
      Find at Harvard
      Related
      Baldiga, Katherine A., and Jerry R. Green. "Assent-maximizing Social Choice." Social Choice and Welfare 40, no. 2 (February 2013): 439–460.
      • December 2012
      • Case

      Delwarca Software Remote Support Unit

      By: Roy D. Shapiro and Paul E. Morrison
      Delwarca Software provides business software to large corporate clients around the world. The firm serves customers who prefer to assemble corporate solutions using a combination of software programs from various suppliers rather than implementing a single enterprise... View Details
      Keywords: Service Operations; Service Delivery; Mathematical Methods; Applications and Software; Problems and Challenges; Customer Satisfaction; Information Technology Industry
      Citation
      Educators
      Purchase
      Related
      Shapiro, Roy D., and Paul E. Morrison. "Delwarca Software Remote Support Unit." Harvard Business School Brief Case 913-541, December 2012.
      • 2014
      • Working Paper

      Search-Based Peer Firms: Aggregating Investor Perceptions Through Internet Co-Searches

      By: Charles M.C. Lee, Paul Ma and Charles C.Y. Wang
      Applying a "co-search" algorithm to Internet traffic at the SEC's EDGAR web-site, we develop a novel method for identifying economically-related peer firms and for measuring their relative importance. Our results show that firms appearing in chronologically adjacent... View Details
      Keywords: Peer Firm; EDGAR Search Traffic; Revealed Preference; Co-search; Industry Classification; Analytics and Data Science; Internet and the Web; Mathematical Methods; Corporate Finance
      Citation
      SSRN
      Read Now
      Related
      Lee, Charles M.C., Paul Ma, and Charles C.Y. Wang. "Search-Based Peer Firms: Aggregating Investor Perceptions Through Internet Co-Searches." Harvard Business School Working Paper, No. 13-048, November 2012. (Revised September 2013, March 2014, June 2014, July 2014.)
      • 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
      Citation
      Find at Harvard
      Related
      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
      Citation
      Find at Harvard
      Related
      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
      Citation
      SSRN
      Find at Harvard
      Read Now
      Related
      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
      Citation
      Find at Harvard
      Read Now
      Related
      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
      Citation
      Read Now
      Related
      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
      Citation
      Find at Harvard
      Purchase
      Related
      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
      Citation
      Find at Harvard
      Purchase
      Related
      Hatfield, John William, Nicole Immorlica, and Scott Duke Kominers. "Testing Substitutability." Games and Economic Behavior 75, no. 2 (July 2012): 639–645.
      • June 2012 (Revised July 2013)
      • Exercise

      Competition Simulator Exercise: Instructions

      By: Eric Van den Steen
      In the Competition Simulator Exercise, students explore through trial and error some important economic foundations of competitive strategy and managerial economics. In particular, the nine simulator exercises let students explore horizontal differentiation with and... View Details
      Keywords: Competitive Strategy; Economics; Strategy; Game Theory
      Citation
      Purchase
      Related
      Van den Steen, Eric. "Competition Simulator Exercise: Instructions." Harvard Business School Exercise 712-498, June 2012. (Revised July 2013.)
      • 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
      Citation
      Find at Harvard
      Read Now
      Related
      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
      Citation
      Find at Harvard
      Related
      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
      Citation
      Educators
      Purchase
      Related
      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
      Citation
      Read Now
      Related
      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
      Citation
      Find at Harvard
      Read Now
      Related
      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
      Citation
      Educators
      Purchase
      Related
      Shih, Willy. "Building Watson: Not So Elementary, My Dear!" Harvard Business School Case 612-017, September 2011. (Revised July 2012.)
      • ←
      • 8
      • 9
      • …
      • 21
      • 22
      • →

      Are you looking for?

      →Search All HBS Web
      ǁ
      Campus Map
      Harvard Business School
      Soldiers Field
      Boston, MA 02163
      →Map & Directions
      →More Contact Information
      • Make a Gift
      • Site Map
      • Jobs
      • Harvard University
      • Trademarks
      • Policies
      • Accessibility
      • Digital Accessibility
      Copyright © President & Fellows of Harvard College.