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      • Article

      Improved Bounds on the Sizes of S.P Numbers

      By: Paul Myer Kominers and Scott Duke Kominers
      A number which is S.P in base r is a positive integer which is equal to the sum of its base-r digits multiplied by the product of its base-r digits. These numbers have been studied extensively in The Mathematical Gazette. Recently, Shah Ali... View Details
      Keywords: Mathematical Methods
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      Kominers, Paul Myer, and Scott Duke Kominers. "Improved Bounds on the Sizes of S.P Numbers." Mathematical Gazette 94, no. 529 (March 2010): 127–129.
      • 2010
      • Article

      On the Classification of Type II Codes of Length 24

      By: Noam D. Elkies and Scott Duke Kominers
      We give a new, purely coding-theoretic proof of Koch's criterion on the tetrad systems of Type II codes of length 24 using the theory of harmonic weight enumerators. This approach is inspired by Venkov's approach to the classification of the root systems of Type II... View Details
      Keywords: Mathematical Methods
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      Elkies, Noam D., and Scott Duke Kominers. "On the Classification of Type II Codes of Length 24." SIAM Journal on Discrete Mathematics 23, no. 4 (2010).
      • Article

      Refined Configuration Results for Extremal Type II Lattices of Ranks 40 and 80

      By: Noam D. Elkies and Scott Duke Kominers
      We show that, if L is an extremal Type II lattice of rank 40 or 80, then L is generated by its vectors of norm min(L)+2. This sharpens earlier results of Ozeki, and the second author and Abel, which showed that such lattices L are generated by their vectors of norms... View Details
      Keywords: Mathematical Methods
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      Elkies, Noam D., and Scott Duke Kominers. "Refined Configuration Results for Extremal Type II Lattices of Ranks 40 and 80." Proceedings of the American Mathematical Society 138, no. 1 (January 2010): 105–108.
      • December 2009
      • Article

      Strategy-proofness versus Efficiency in Matching with Indifferences: Redesigning the NYC High School Match

      By: Atila Abdulkadiroglu, Parag A. Pathak and Alvin E. Roth
      The design of the New York City (NYC) High School match involved tradeoffs among efficiency, stability, and strategy-proofness that raise new theoretical questions. We analyze a model with indifferences—ties—in school preferences. Simulations with field data and the... View Details
      Keywords: Decision Choices and Conditions; Secondary Education; Marketplace Matching; Performance Efficiency; Mathematical Methods; Motivation and Incentives; Strategy; Balance and Stability
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      Abdulkadiroglu, Atila, Parag A. Pathak, and Alvin E. Roth. "Strategy-proofness versus Efficiency in Matching with Indifferences: Redesigning the NYC High School Match." American Economic Review 99, no. 5 (December 2009). (AER links to access the Appendix and Downloadable Data Set.)
      • 2009
      • Other Unpublished Work

      Choice-based Measures of Conflict in Preferences

      By: Katherine Baldiga and Jerry R. Green
      We propose a family of measures of difference between ordinal preference relations. The difference between two preferences is the probability that they would disagree about the optimal choice from a random available set. It is in this sense that these measures are... View Details
      Keywords: Decision Choices and Conditions; Measurement and Metrics; Mathematical Methods; Conflict of Interests; Welfare
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      Baldiga, Katherine, and Jerry R. Green. "Choice-based Measures of Conflict in Preferences." September 2009. (Discussion Paper.)
      • 2009
      • Working Paper

      Systemic Risk and the Refinancing Ratchet Effect

      By: Amir E. Khandani, Andrew W. Lo and Robert C. Merton
      The confluence of three trends in the U.S. residential housing market—rising home prices, declining interest rates, and near-frictionless refinancing opportunities—led to vastly increased systemic risk in the financial system. Individually, each of these trends is... View Details
      Keywords: Housing; Mortgages; Risk and Uncertainty; Value; Mathematical Methods; Real Estate Industry; United States
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      Khandani, Amir E., Andrew W. Lo, and Robert C. Merton. "Systemic Risk and the Refinancing Ratchet Effect." NBER Working Paper Series, No. 15362, September 2009.
      • 2009
      • Working Paper

      Input Constraints and the Efficiency of Entry: Lessons from Cardiac Surgery

      By: David M. Cutler, Robert S. Huckman and Jonathan T. Kolstad
      Prior studies suggest that, with elastically supplied inputs, free entry may lead to an inefficiently high number of firms in equilibrium. Under input scarcity, however, the welfare loss from free entry is reduced. Further, free entry may increase use of high-quality... View Details
      Keywords: Health Care and Treatment; Market Entry and Exit; Duopoly and Oligopoly; Government Legislation; Mathematical Methods; Health Industry; Pennsylvania
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      Cutler, David M., Robert S. Huckman, and Jonathan T. Kolstad. "Input Constraints and the Efficiency of Entry: Lessons from Cardiac Surgery." NBER Working Paper Series, No. 15214, August 2009.
      • 2009
      • Article

      Modeling Expert Opinions on Food Healthfulness: A Nutrition Metric

      By: Jolie M. Martin, John Beshears, Katherine L. Milkman, Max H. Bazerman and Lisa Sutherland

      Research over the last several decades indicates the failure of existing nutritional labels to substantially improve the healthiness of consumers' food and beverage choices. The difficulty for policy-makers is to encapsulate a wide body of scientific knowledge in a... View Details

      Keywords: Judgments; Food; Nutrition; Labels; Knowledge Use and Leverage; Demand and Consumers; Measurement and Metrics; Mathematical Methods
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      Martin, Jolie M., John Beshears, Katherine L. Milkman, Max H. Bazerman, and Lisa Sutherland. "Modeling Expert Opinions on Food Healthfulness: A Nutrition Metric." Journal of the American Dietetic Association 109, no. 6 (June 2009): 1088–1091.
      • 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
      • 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.
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