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  • 28 Dec 2018
  • News

This Was a Great Year to Be a Math Geek

  • 01 Jan 2002
  • News

  • August 2001
  • Technical Note

Technical Note on Expectations

By: Carliss Y. Baldwin
Reviews the mathematics of expectations embedded in a company's current stock price and the related (whole) enterprise value. Begins by showing how the current stock price can be compounded forward to arrive at an expectation one or more years in the future. Describes... View Details
Keywords: Performance Expectations; Price; Stocks
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  • Research Summary

An Impossibility Theorem on Beliefs in Games (with H. Jerome Keisler)

A 'paradox' of self-reference in beliefs in games is identified, which yields a game-theoretic impossibility theorem akin to (a weak form of) Tarski's Theorem of mathematical logic. A rough interpretation of the theorem is that if a model of a game is available to the... View Details

    Rembrand M. Koning

    Rem Koning View Details

    Keywords: high technology; software; biotechnology
    • 26 Oct 2018
    • News

    High-skilled immigration and the growing concentration of US innovation

    • December 2019
    • Technical Note

    Technical Note on Bayesian Statistics and Frequentist Power Calculations

    By: Amitabh Chandra and Ariel Dora Stern
    This Technical Note provides an introduction to Bayes’ Rule and the statistical intuition that stems from it. In this note, we review the concepts that underlie Bayesian statistics, and we offer several simple mathematical examples to illustrate applications of Bayes’... View Details
    Keywords: Bayesian Statistics; Mathematical Methods
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      Iavor I. Bojinov

      Iavor Bojinov is an Assistant Professor of Business Administration and the Richard Hodgson Fellow at Harvard Business School. He is the co-PI of the AI and Data Science Operations Lab and a faculty affiliate in the Department of Statistics at Harvard University and... View Details

        Zhongming Jiang

        Zhongming Jiang is a Ph.D. student in Marketing (Quantitative) at Harvard Business School. His methodological interests include Bayesian {nonparametrics, causal inference, deep learning}, and probabilistic machine learning. Substantively, he is interested... View Details

          Elisabeth C. Paulson

          Elisabeth Paulson is an Assistant Professor of Business Administration in the Technology and Operations Management Unit at Harvard Business School. She teaches the first year course on Technology and Operations Management in the required curriculum.
          View Details
          Keywords: agriculture; federal government; state government; grocery; nonprofit industry
          • July–August 2011
          • Article

          Robust Optimization Made Easy with ROME

          By: Joel Goh and Melvyn Sim
          We introduce ROME, an algebraic modeling toolbox for a class of robust optimization problems. ROME serves as an intermediate layer between the modeler and optimization solver engines, allowing modelers to express robust optimization problems in a mathematically... View Details
          Keywords: Robust Optimization; Algebraic Modeling Toolbox; MATLAB; Stochastic Programming; Decision Rules; Inventory Control; PERT; Project Management; Portfolio Optimization; Information Technology; Mathematical Methods; Operations
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          • Article

          Matriarch: A Python Library for Materials Architecture

          By: Tristan Giesa, Ravi Jagadeesan, David I. Spivak and Markus J. Buehler
          Biological materials, such as proteins, often have a hierarchical structure ranging from basic building blocks at the nanoscale (e.g., amino acids) to assembled structures at the macroscale (e.g., fibers). Current software for materials engineering allows the user to... View Details
          Keywords: Building Block; Category Theory; Hierarchical Protein Materials; Molecular Design; Open-Source Software; Structure Creation
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            Christina M. Wallace

            A self-described “human Venn diagram” Christina Wallace has crafted a career at the intersection of business, technology, and the arts. She is a Senior Lecturer in the Entrepreneurial Management Unit at Harvard Business... View Details

              Asim I. Khwaja

              Asim Ijaz Khwaja is the Director of the Center for International Development and the Sumitomo-Foundation for Advanced Studies on International Development Professor of International Finance and Development at the Harvard Kennedy School, and co-founder of the View Details

                Feng Zhu

                Feng Zhu is the MBA Class of 1958 Professor of Business Administration at Harvard Business School, where he leads the Platform Lab within the Digital, Data, and Design Institute, co-chairs the Harvard Business Analytics Program, and serves as the course head for the... View Details

                • Research Summary

                Valuation Theory and Practice

                Timothy A. Luehrman's primary research interest is in the application of valuation methods to companies, businesses, and individual assets. Some of his work involves applications of tools originally developed for valuing derivative securities to the valuation of other... View Details
                • Article

                Risk and the Cross-Section of Stock Returns

                By: Mark Seasholes, Radu Burlacu, Patrice Fontaine and Sonia Jimenez-Garces
                This paper mathematically transforms unobservable rational expectation equilibrium model parameters (information precision and supply uncertainty) into a single variable that is correlated with expected returns and that can be estimated with recently observed data. Our... View Details
                Keywords: Risk Premiums; Cross-sectional Asset Pricing; REE Models; Risk and Uncertainty; Asset Pricing; Investment Return
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                • 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
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                  Eva Ascarza

                  Eva Ascarza is the Jakurski Family Associate Professor of Business Administration in the Marketing Unit.  She is the co-founder of the Customer Intelligence Lab at the D^3 institute at Harvard Business School. She teaches the Marketing core in the MBA required... View Details

                  Keywords: telecommunications; e-commerce industry; entertainment; financial services; retailing
                  • 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
                  Related