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Publications
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- Faculty Publications (276)
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- Article
Stability and Competitive Equilibrium in Matching Markets with Transfers
By: John William Hatfield and Scott Duke Kominers
This note surveys recent work in generalized matching theory, focusing on trading networks with transferable utility. In trading networks with a finite set of contractual opportunities, the substitutability of agents’ preferences is essential for the guaranteed... View Details
Keywords: Matching; Networks; Joint Ventures; Stability; Competitive Equilibrium; Core; Efficiency; Economics; Theory
- November 2011
- Teaching Note
Duke Energy and the Nuclear Renaissance (TN)
Keywords: Energy Generation
- October 2011
- Supplement
Online Marketing at Big Skinny — slide supplement
By: Benjamin Edelman and Scott Duke Kominers
Slide Supplement for 911-034 View Details
Keywords: Consumer Products Industry
- September 2011 (Revised February 2014)
- Case
Duke Energy and the Nuclear Renaissance
Duke Energy, an American investor-owned electric utility, confronts multibillion dollar decisions about its future fuel mix. In particular, its leaders are considering building new nuclear capacity. Whether this is sensible depends, among other things, on demand... View Details
- 2011
- Book
Success with Science: The Winners' Guide to High School Research
By: Shiv Gaglani, Maria Elena De Obaldia, Scott Duke Kominers, Dayan Li and Carol Y. Suh
Do you want to develop useful skills, gain admission to top colleges, win scholarship money, excel at science competitions, and explore career options all while having fun? By reading this book and using the advice within it, you will learn how to formulate a research... View Details
- February 2011 (Revised February 2012)
- Case
Online Marketing at Big Skinny
By: Benjamin Edelman and Scott Duke Kominers
Describes a wallet maker's application of seven Internet marketing technologies: display ads, algorithmic search, sponsored search, social media, interactive content, online distributors, and A/B testing. Provides concise introductions to the key features of each... View Details
- Article
Every Large Point Set Contains Many Collinear Points or an Empty Pentagon
By: Zachary Abel, Brad Ballinger, Prosenjit Bose, Sébastien Collette, Vida Dujmović, Ferran Hurtado, Scott Duke Kominers, Stefan Langerman, Attila Pór and David Wood
We prove the following generalised empty pentagon theorem for every integer ℓ ≥ 2, every sufficiently large set of points in the plane contains ℓ collinear points or an empty pentagon. As an application, we settle the next open case of the “big line or big clique”... View Details
- 2010
- Working Paper
Agglomerative Forces and Cluster Shapes
By: William R. Kerr and Scott Duke Kominers
We model spatial clusters of similar firms. Our model highlights how agglomerative forces lead to localized, individual connections among firms, while interaction costs generate a defined distance over which attraction forces operate. Overlapping firm interactions... View Details
- Article
A Constant Bound for the Periods of Parallel Chip-firing Games with Many Chips
By: Paul Myer Kominers and Scott Duke Kominers
We prove that any parallel chip-firing game on a graph G with at least 4|E(G)| − |V(G)| chips stabilizes, i.e., such a game has eventual period of length 1. Furthermore, we obtain a polynomial bound on the number of rounds before stabilization. This result is a... View Details
- 2010
- Article
A Categorical Construction of Ultrafilters
By: Daniel Litt, Zachary Abel and Scott Duke Kominers
- March 2010
- Article
Further Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions
By: Shaofang Hong and Scott Duke Kominers
For relatively prime positive integers u_0 and r, we consider the arithmetic progression {u_k := u_0+k*r} (0 <= k <= n). Define L_n := lcm{u_0,u_1,...,u_n} and let a >= 2 be any integer. In this paper, we show that, for integers alpha,r >= a and n >=... View Details
Keywords: Mathematical Methods
- March 2010
- Article
Matching with Preferences over Colleagues Solves Classical Matching
In this note, we demonstrate that the problem of "many-to-one matching with (strict) preferences over colleagues" is actually more difficult than the classical many-to-one matching problem, "matching without preferences over colleagues." We give an explicit reduction... View Details
- Article
Shape Replication Through Self-Assembly and RNase Enzymes
By: Zachary Abel, Nadia Benbernou, Mirela Damian, Erik D. Demaine, Robin Flatland, Scott Duke Kominers, Robert Schweller and Martin L. Demaine
- 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