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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
- Article
Information Can Wreck Cooperation: A Counterpoint to Kandori (1992)
By: Yuichiro Kamada and Scott Duke Kominers
- 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
- 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
- September 2009
- Article
Finding Matrices that Satisfy Functional Equations
- June 2009
- Article
How Concepts Affect Consumption
By: Dan Ariely and Michael I. Norton
Duke behavioral economist Ariely and Harvard Business School professor Norton explore how our consumption of concepts influences physical consumption, both positively and negatively. View Details
- May 2009
- Article
Configurations of Extremal Even Unimodular Lattices
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
- 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
- 2009
- Article
On Universal Binary Hermitian Forms
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
- December 2007
- Case
Cinergy and Duke Energy 2005: Think BIG
By: Boris Groysberg, Nitin Nohria, Colleen Kaftan and Geoff Eckman Marietta
Jim Rogers, CEO of Cinergy Energy, has just announced the company's merger with Duke Energy to Employees. Rogers has had success in the past leading his firm though a merger, but will he be able to achieve similar results this time around? This case also illustrates... View Details
- March 2006 (Revised February 2007)
- Case
UBS: Towards the Integrated Firm
By: Rajiv Lal, Nitin Nohria and Carin-Isabel Knoop
In late June 2005, UBS Group CEO Peter Wuffli--anointed "Master of Zurich" by the financial press--was returning to Zurich from the firm's latest three-day Senior Leadership Conference (SLC). Tapping 600 top managers, this SLC featured an outdoor event at a former... View Details
- August 2005 (Revised December 2005)
- Case
Coach K: A Matter of the Heart
By: Scott A. Snook, Leslie A. Perlow and Brian DeLacey
Successful college basketball coach Mike Krzyzewski faces the decision whether to accept a lucrative offer to coach a professional basketball team or continue to coach at Duke University. Provides a context for discussing various styles of power, influence, and... View Details
- 2001
- Article
Building a Better Board
By: Jay W. Lorsch, Duke K. Bristow, Paul D. Lapides, Chuck King and T.K. Kerstetter
Keywords: Governing and Advisory Boards
- December 10, 2024
- Other Article
A New Model for Funding Healthcare Innovation
By: Regina E. Herzlinger and Duke Rohlen
- Forthcoming
- Article
Collusion in Brokered Markets
By: John William Hatfield, Scott Duke Kominers and Richard Lowery
High commissions in the U.S. residential real estate agency market present a puzzle for economic theory because brokerage is not a concentrated industry. We model brokered markets as a game in which agents post prices for customers and then choose which other agents to... View Details
Keywords: Real Estate Agents; Real Estate; Realtors; Broker Networks; Brokerage; Brokerage Commissions; ＂Brokerage Industry; Brokered Markets; Brokering; Brokers; Industrial Organization; Repeated Game Framework; ＂Repeated Games＂; Collusion; Antitrust; Microeconomics; Market Design; Theory; Game Theory; Real Estate Industry
- 2024
- Dictionary Entry
Jerry R. Green (1946-)
By: Eddie Dekel, John Geanakoplos and Scott Duke Kominers
Jerry Green has a deep and long-standing connection to Harvard University, and in particular with its Economics Department. This paper begins by reviewing his intellectual background, and then turns to exploring how he has influenced scholars through his wide-ranging... View Details
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