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All HBS Web
(115,789)
- Faculty Publications (261)
- 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...
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Kominers, Scott Duke. "Matching with Preferences over Colleagues Solves Classical Matching." Games and Economic Behavior 68, no. 2 (March 2010): 773–780.
- 2010
- Article
On Congruence Conditions for Primality
By: Sherry Gong and Scott Duke Kominers
Gong, Sherry, and Scott Duke Kominers. "On Congruence Conditions for Primality." A26. INTEGERS: Electronic Journal of Combinatorial Number Theory 10 (2010): 313–317.
- 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
Abel, Zachary, Nadia Benbernou, Mirela Damian, Erik D. Demaine, Robin Flatland, Scott Duke Kominers, Robert Schweller, and Martin L. Demaine. "Shape Replication Through Self-Assembly and RNase Enzymes." Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms 21st (2010): 1045–1064.
- 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...
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Keywords:
Mathematical Methods
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.
- Article
Information Can Wreck Cooperation: A Counterpoint to Kandori (1992)
By: Yuichiro Kamada and Scott Duke Kominers
Kamada, Yuichiro, and Scott Duke Kominers. "Information Can Wreck Cooperation: A Counterpoint to Kandori (1992)." Economics Letters 107, no. 2 (May 2010): 112–114.
- Article
Irrational Roots Revisited
Kominers, Scott Duke. "Irrational Roots Revisited." Mathematical Gazette 94, no. 530 (July 2010): 303–304.
- 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...
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Keywords:
Mathematical Methods
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...
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Keywords:
Mathematical Methods
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.
- September 2009
- Article
Finding Matrices that Satisfy Functional Equations
Kominers, Scott Duke. "Finding Matrices that Satisfy Functional Equations." College Mathematics Journal 40, no. 4 (September 2009): 289–292. (As part of "Classroom Capsules.")
- 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.
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Keywords:
Mathematical Methods
Kominers, Scott Duke. "Configurations of Extremal Even Unimodular Lattices." International Journal of Number Theory 5, no. 3 (May 2009): 457–464.
- Response
A Correspondence Note on Myerson's 'Irrationality via Well-ordering'
Kominers, Scott Duke. "A Correspondence Note on Myerson's 'Irrationality via Well-ordering'." Gazette of the Australian Mathematical Society 36, no. 1 (March 2009): 53.
- 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.
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Keywords:
Mathematical Methods
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.
- Article
Leonard Bernstein's Doodles: Reading Outside the Lines at the Library of Congress
Kominers, Scott Duke. "Leonard Bernstein's Doodles: Reading Outside the Lines at the Library of Congress." Special Issue on Leonard Bernstein in Boston. Journal of the Society for American Music 3, no. 1 (February 2009): 26–33. (As an appendix to "Leonard Bernstein's Jewish Boston: Cross-Disciplinary Research in the Classroom" by Carol J. Oja and Kay Kaufman Shelemay.)
- 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...
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Keywords:
Mathematical Methods
Kominers, Scott Duke. "On Universal Binary Hermitian Forms." A02. INTEGERS: Electronic Journal of Combinatorial Number Theory 9 (2009): 9–15.
- Forthcoming
- Article
A Universal In-Place Reconfiguration Algorithm for Sliding Cube-Shaped Robots in Quadratic Time
By: Zachary Abel, Hugo A. Akitaya, Scott Duke Kominers, Matias Korman and Frederick Stock
In the modular robot reconfiguration problem we are given n cube-shaped modules (or "robots") as well as two configurations, i.e., placements of the n modules so that their union is face-connected. The goal is to find a sequence of moves that reconfigures the modules...
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- 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...
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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
Hatfield, John William, Scott Duke Kominers, and Richard Lowery. "Collusion in Brokered Markets." Journal of Finance (forthcoming).
- 2023
- Chapter
Generalized Matching: Contracts and Networks
By: John William Hatfield, Ravi Jagadeesan, Scott Duke Kominers, Alexandru Nichifor, Michael Ostrovsky, Alexander Teytelboym and Alexander Westkamp
Keywords:
Matching;
Matching With Contracts;
Matching Markets;
Matching Platform;
Market Design;
Digital Platforms;
Economics;
Networks
Hatfield, John William, Ravi Jagadeesan, Scott Duke Kominers, Alexandru Nichifor, Michael Ostrovsky, Alexander Teytelboym, and Alexander Westkamp. "Generalized Matching: Contracts and Networks." Chap. 14 in Online and Matching-Based Market Design, edited by Federico Echenique, Nicole Immorlica, and Vijay Vazirani, 303–322. Cambridge University Press, forthcoming.
- 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...
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- Forthcoming
- Article
On the Representativeness of Voter Turnout
By: Louis Kaplow and Scott Duke Kominers
Prominent theory research on voting analyzes a variety of models in which expected pivotality drives voters' turnout decisions and hence determines voting outcomes. It is recognized, however, that such work is at odds with Downs's paradox: in practice, many...
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Keywords:
Voting Behavior;
Voting Turnout;
Paradox Of Voting;
Pivotality;
Elections;
Model;
Theory;
Governance Transparency;
Government;
Democracy;
Turnout;
Voting;
Governance;
Government and Politics;
Public Sector;
Political Elections
Kaplow, Louis, and Scott Duke Kominers. "On the Representativeness of Voter Turnout." Journal of Law & Economics (forthcoming).
- Forthcoming
- Article
Redistributive Allocation Mechanisms
By: Mohammad Akbarpour, Piotr Dworczak and Scott Duke Kominers
Many scarce public resources are allocated at below-market-clearing prices, and sometimes for free. Such "non-market" mechanisms sacrifice some surplus, yet they can potentially improve equity. We develop a model of mechanism design with redistributive concerns. Agents...
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Akbarpour, Mohammad, Piotr Dworczak, and Scott Duke Kominers. "Redistributive Allocation Mechanisms." Journal of Political Economy (forthcoming). (Authors' names are in certified random order.)