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      Mathematical MethodsRemove Mathematical Methods →

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      • May 2009 (Revised December 2009)
      • Teaching Note

      Reliance Baking Soda: Optimizing Promotional Spending (Brief Case)

      By: John A. Quelch and Heather Beckham
      Teaching Note to Briefcase 4128 View Details
      Keywords: Quantitative Analysis; Consumer Marketing; Marketing Planning; Product Management; Sales Promotions; Program Budgeting; Marketing Strategy; Marketing Channels; Mathematical Methods; Advertising; Budgets and Budgeting; Product Marketing; Communication Strategy
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      Quelch, John A., and Heather Beckham. "Reliance Baking Soda: Optimizing Promotional Spending (Brief Case)." Harvard Business School Teaching Note 094-128, May 2009. (Revised December 2009.)
      • May 2009
      • Article

      Configurations of Extremal Even Unimodular Lattices

      By: Scott Duke Kominers
      We extend the results of Ozeki on the configurations of extremal even unimodular lattices. Specifically, we show that if L is such a lattice of rank 56, 72, or 96, then L is generated by its minimal-norm vectors. View Details
      Keywords: Mathematical Methods
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      Kominers, Scott Duke. "Configurations of Extremal Even Unimodular Lattices." International Journal of Number Theory 5, no. 3 (May 2009): 457–464.
      • 2009
      • Chapter

      Plant-Size Distribution and Cross-Country Income Differences

      By: Laura Alfaro, Andrew Charlton and Fabio Kanczuk
      We investigate, using plant-level data for 79 developed and developing countries, whether differences in the allocation of resources across heterogeneous plants are a significant determinant of cross-country differences in income per worker. For this purpose, we use a... View Details
      Keywords: Factories, Labs, and Plants; Developing Countries and Economies; Wages; Resource Allocation; Mathematical Methods
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      Alfaro, Laura, Andrew Charlton, and Fabio Kanczuk. "Plant-Size Distribution and Cross-Country Income Differences." In NBER International Seminar on Macroeconomics 2008, edited by Jeffrey A. Frankel and Christopher Pissarides. Cambridge, MA: National Bureau of Economic Research, 2009.
      • 2009
      • Chapter

      Identity as a Variable

      By: Rawi Abdelal, Yoshiko M. Herrera, Alastair Iain Johnston and Rose McDermott
      Keywords: Identity; Measurement and Metrics; Mathematical Methods
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      Abdelal, Rawi, Yoshiko M. Herrera, Alastair Iain Johnston, and Rose McDermott. "Identity as a Variable." In Measuring Identity, edited by Rawi Abdelal, Yoshiko M. Herrera, Alastair Iain Johnston, and Rose McDermott, 17–32. Cambridge: Cambridge University Press, 2009.
      • Article

      Configurations of Rank-40r Extremal Even Unimodular Lattices (r=1,2,3)

      By: Scott Duke Kominers and Zachary Abel
      We show that if L is an extremal even unimodular lattice of rank 40r with r=1,2,3 then L is generated by its vectors of norms 4r and 4r+2. Our result is an extension of Ozeki's result for the case r=1. View Details
      Keywords: Mathematical Methods
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      Kominers, Scott Duke, and Zachary Abel. "Configurations of Rank-40r Extremal Even Unimodular Lattices (r=1,2,3)." Journal de Théorie des Nombres de Bordeaux 20, no. 2 (2008): 365–371.
      • 2009
      • Article

      On Universal Binary Hermitian Forms

      By: Scott Duke Kominers
      Earnest and Khosravani, Iwabuchi, and Kim and Park recently gave a complete classification of the universal binary Hermitian forms. We give a unified proof of the universalities of these Hermitian forms, relying upon Ramanujan's list of universal quadratic forms... View Details
      Keywords: Mathematical Methods
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      Kominers, Scott Duke. "On Universal Binary Hermitian Forms." A02. INTEGERS: Electronic Journal of Combinatorial Number Theory 9 (2009): 9–15.
      • January 2009
      • Journal Article

      The Fiscal Impact of High-skilled Emigration: Flows of Indians to the U.S.

      By: Mihir Desai, D. Kapur, J. McHale and K Rogers
      Easing immigration restrictions for the highly skilled in developed countries portends a future of increased human capital outflows from developing countries. The myriad consequences of these developments for developing countries include the direct loss of the fiscal... View Details
      Keywords: Talent and Talent Management; Diasporas; Developing Countries and Economies; Taxation; Compensation and Benefits; Human Capital; Mathematical Methods; India; United States
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      Desai, Mihir, D. Kapur, J. McHale, and K Rogers. "The Fiscal Impact of High-skilled Emigration: Flows of Indians to the U.S." Journal of Development Economics 88, no. 1 (January 2009).
      • 2008
      • Chapter

      Corporate Honesty and Business Education: A Behavioral Model

      By: Rakesh Khurana and Herbert Gintis
      Since the mid-1970s neoclassical economic theory has dominated business school thinking and teaching in dealing with the nature of human motivation. However valuable in understanding competitive product and financial markets, neoclassical economic theory employs an... View Details
      Keywords: Business Education; Ethics; Managerial Roles; Corporate Social Responsibility and Impact; Organizational Culture; Business and Shareholder Relations; Mathematical Methods; Behavior
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      Khurana, Rakesh, and Herbert Gintis. "Corporate Honesty and Business Education: A Behavioral Model." In Moral Markets: The Critical Role of Values in the Economy, edited by Paul J. Zak. Princeton University Press, 2008.
      • 2008
      • Chapter

      Moving to a New Global Competitiveness Index

      By: Michael E. Porter, Mercedes Delgado-Garcia, Christian H.M. Ketels and Scott Stern
      Keywords: Globalization; Competitive Advantage; Mathematical Methods
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      Porter, Michael E., Mercedes Delgado-Garcia, Christian H.M. Ketels, and Scott Stern. "Moving to a New Global Competitiveness Index." Chap. 1.2 in Global Competitiveness Report 2008/2009, edited by Michael E. Porter and Klaus Schwab, 43–63. Geneva: World Economic Forum, 2008.
      • fall 2008
      • Article

      Toward a Theory of Behavioral Operations

      By: Francesca Gino and Gary P. Pisano
      Human beings are critical to the functioning of the vast majority of operating systems, influencing both the way these systems work and how they perform. Yet most formal analytical models of operations assume that the people who participate in operating systems are... View Details
      Keywords: Management Systems; Operations; Mathematical Methods; Behavior; Cognition and Thinking; Perspective; Theory
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      Gino, Francesca, and Gary P. Pisano. "Toward a Theory of Behavioral Operations." Manufacturing & Service Operations Management 10, no. 4 (fall 2008): 676–691.
      • July 2008 (Revised May 2009)
      • Case

      The Springfield Nor'easters: Maximizing Revenues in the Minor Leagues

      By: Frank V. Cespedes, Christopher H. Lovelock and Laura Winig
      The marketing director of a new minor-league baseball team must design, conduct, and then interpret survey research to determine optimal ticket pricing that will yield large attendance figures and contribute to the owner's goal of breaking even in the first year of... View Details
      Keywords: Market Research; Quantitative Analysis; Consumer Marketing; Pricing Strategy; Price; Marketing Strategy; Mathematical Methods; Product Launch; Sports; Sports Industry; Massachusetts
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      Cespedes, Frank V., Christopher H. Lovelock, and Laura Winig. "The Springfield Nor'easters: Maximizing Revenues in the Minor Leagues." Harvard Business School Brief Case 082-510, July 2008. (Revised May 2009.)
      • July 2008 (Revised May 2009)
      • Teaching Note

      The Springfield Nor'easters: Maximizing Revenues in the Minor Leagues (Brief Case)

      By: Frank V. Cespedes, Christopher H. Lovelock and Laura Winig
      Teaching Note for 2510 View Details
      Keywords: Market Research; Quantitative Analysis; Consumer Marketing; Pricing Strategy; Price; Mathematical Methods; Marketing Channels
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      Cespedes, Frank V., Christopher H. Lovelock, and Laura Winig. "The Springfield Nor'easters: Maximizing Revenues in the Minor Leagues (Brief Case)." Harvard Business School Teaching Note 082-511, July 2008. (Revised May 2009.)
      • July 2008
      • Article

      Crime and Punishment in the 'American Dream'

      By: Rafael Di Tella and Juan Dubra
      We observe that countries where belief in the "American dream" (i.e., effort pays) prevails also set harsher punishment for criminals. We know that beliefs are also correlated with several features of the economic system (taxation, social insurance, etc). Our objective... View Details
      Keywords: Crime and Corruption; Economic Systems; Values and Beliefs; Law Enforcement; Mathematical Methods; Personal Characteristics; United States
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      Di Tella, Rafael, and Juan Dubra. "Crime and Punishment in the 'American Dream'." Journal of Public Economics 92, no. 7 (July 2008).
      • June 2008
      • Supplement

      Marie Trellu-Kane at Unis-Cite

      By: Michel Anteby and Julie Battilana
      Video supplement to Marie Trellu-Kane at Unis-Cite (A). View Details
      Keywords: Social Enterprise; Organizational Design; Mathematical Methods; Paris
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      Anteby, Michel, and Julie Battilana. "Marie Trellu-Kane at Unis-Cite." Harvard Business School Video Supplement 408-709, June 2008.
      • 2008
      • Chapter

      Allocating Marketing Resources

      By: Sunil Gupta and Thomas J. Steenburgh

      Companies spend billions of dollars on marketing every year because it is essential to organic growth. Given these large investments, marketing managers have the responsibility to optimally allocate resources and to demonstrate that their investments generate... View Details

      Keywords: Investment Return; Resource Allocation; Marketing; Demand and Consumers; Mathematical Methods
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      Gupta, Sunil, and Thomas J. Steenburgh. "Allocating Marketing Resources." In Marketing Mix Decisions: New Perspectives and Practices, edited by Roger A. Kerin and Rob O'Regan. Chicago, IL: American Marketing Association, 2008.
      • 2008
      • Working Paper

      Firm-Size Distribution and Cross-Country Income Differences

      By: Laura Alfaro, Andrew Charlton and Fabio Kanczuk
      We investigate, using plant-level data for 79 developed and developing countries, whether differences in the allocation of resources across heterogeneous plants are a significant determinant of cross-country differences in income per worker. For this purpose, we use a... View Details
      Keywords: Factories, Labs, and Plants; Developing Countries and Economies; Wages; Resource Allocation; Mathematical Methods
      Citation
      Read Now
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      Alfaro, Laura, Andrew Charlton, and Fabio Kanczuk. "Firm-Size Distribution and Cross-Country Income Differences." NBER Working Paper Series, No. 14060, June 2008.
      • March 2008 (Revised February 2009)
      • Case

      Transparent Value LLC

      By: Sharon P. Katz, Krishna G. Palepu and Aldo Sesia, Jr.
      Leading index company Dow Jones recently signed a license and joint marketing agreement with Transparent Value LLC, the creator of a new fundamentals-based valuation methodology. The agreement allowed Dow Jones to offer a family of indexes based on the Transparent... View Details
      Keywords: Asset Management; Stocks; Price; Performance Expectations; Mathematical Methods; Valuation
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      Katz, Sharon P., Krishna G. Palepu, and Aldo Sesia, Jr. "Transparent Value LLC." Harvard Business School Case 108-069, March 2008. (Revised February 2009.)
      • 2008
      • Working Paper

      Allocating Marketing Resources

      By: Sunil Gupta and Thomas J. Steenburgh
      Marketing is essential for the organic growth of a company. Not surprisingly, firms spend billions of dollars on marketing. Given these large investments, marketing managers have the responsibility to optimally allocate these resources and demonstrate that these... View Details
      Keywords: Investment Return; Resource Allocation; Marketing; Demand and Consumers; Mathematical Methods
      Citation
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      Gupta, Sunil, and Thomas J. Steenburgh. "Allocating Marketing Resources." Harvard Business School Working Paper, No. 08-069, February 2008.
      • January 2008
      • Background Note

      Convertible Arbitrage

      By: Joshua Coval and Erik Stafford
      The goal of this simulation is to understand how convertible bonds can be viewed as a portfolio of simpler securities and to introduce an over-the-counter market. The convertible bonds that are available during the simulation are at-the-money and in-the-money so that... View Details
      Keywords: Bonds; Investment Portfolio; Price; Risk Management; Mathematical Methods
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      Coval, Joshua, and Erik Stafford. "Convertible Arbitrage." Harvard Business School Background Note 208-116, January 2008.
      • January 2008
      • Background Note

      Equity Options

      By: Joshua Coval and Erik Stafford
      The goal of this simulation is to understand the reliance of option values on volatility. When an investor trades an option, they are essentially trading volatility. Therefore, much of the focus in this lesson is on forecasting volatility. Students are able to use two... View Details
      Keywords: Volatility; Forecasting and Prediction; Stock Options; Investment Return; Price; Market Transactions; Mathematical Methods; Value
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      Coval, Joshua, and Erik Stafford. "Equity Options." Harvard Business School Background Note 208-118, January 2008.
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