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All HBS Web
(117,259)
- Faculty Publications (263)
- 2013
- Chapter
Weighted Generating Functions for Type II Lattices and Codes
By: Noam D. Elkies and Scott Duke Kominers
We give a new structural development of harmonic polynomials on Hamming space, and harmonic weight enumerators of binary linear codes, that parallels one approach to harmonic polynomials on Euclidean space and weighted theta functions of Euclidean lattices. Namely, we...
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Keywords:
Mathematical Methods
Elkies, Noam D., and Scott Duke Kominers. "Weighted Generating Functions for Type II Lattices and Codes." In Quadratic and Higher Degree Forms. Vol. 31, edited by Alladi Krishnaswami, Manjul Bhargava, David Savitt, and Pham Huu Tiep, 63–108. Developments in Mathematics. Springer, 2013.
- Response
Paying for Tissue: Net Benefits
By: Scott Kominers and Gary Becker
Kominers, Scott, and Gary Becker. "Paying for Tissue: Net Benefits." Science 337, no. 6100 (September 14, 2012): 1292–1293.
- July 2012
- Article
Discrete Choice Cannot Generate Demand That Is Additively Separable in Own Price
By: Sonia Jaffe and Scott Duke Kominers
We show that in a unit demand discrete choice framework with at least three goods, demand cannot be additively separable in own price. This result sharpens the analogous result of Jaffe and Weyl (2010) in the case of linear demand and has implications for testing of...
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Keywords:
Discrete Choice;
Unit Demand;
Separable Demand;
Linear Demand;
Demand and Consumers;
Market Design;
Mathematical Methods;
Economics
Jaffe, Sonia, and Scott Duke Kominers. "Discrete Choice Cannot Generate Demand That Is Additively Separable in Own Price." Economics Letters 116, no. 1 (July 2012): 129–132.
- Article
On the Correspondence of Contracts to Salaries in (Many-to-Many) Matching
In this note, I extend the work of Echenique (2012) to show that a model of many-to-many matching with contracts may be embedded into a model of many-to-many matching with wage bargaining whenever (1) all agentsʼ preferences are substitutable and (2) the matching with...
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Keywords:
Many-to-Many Matching;
Stability;
Substitutes;
Contract Design;
Unitarity;
Market Design;
Contracts;
Marketplace Matching;
Balance and Stability;
Economics
Kominers, Scott Duke. "On the Correspondence of Contracts to Salaries in (Many-to-Many) Matching." Games and Economic Behavior 75, no. 2 (July 2012): 984–989.
- Article
Testing Substitutability
By: John William Hatfield, Nicole Immorlica and Scott Duke Kominers
We provide an algorithm for testing the substitutability of a length-N preference relation over a set of contracts X in time O(|X|3⋅N3). Access to the preference relation is essential for this result: We show that a substitutability-testing algorithm with access only...
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Keywords:
Substitutability;
Matching;
Communication Complexity;
Preference Elicitation;
Marketplace Matching;
Communication;
Mathematical Methods;
Economics
Hatfield, John William, Nicole Immorlica, and Scott Duke Kominers. "Testing Substitutability." Games and Economic Behavior 75, no. 2 (July 2012): 639–645.
- Article
Holdout in the Assembly of Complements: A Problem for Market Design
By: Scott Duke Kominers and E. Glen Weyl
Holdout problems prevent private (voluntary and self-financing) assembly of complementary goods—such as land or dispersed spectrum—from many self-interested sellers. While mechanisms that fully respect sellers' property rights cannot alleviate these holdout problems,...
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Kominers, Scott Duke, and E. Glen Weyl. "Holdout in the Assembly of Complements: A Problem for Market Design." American Economic Review: Papers and Proceedings 102, no. 3 (May 2012): 360–365.
- Response
Professional-School Training Is Invaluable, Even for Scholars
By: Scott Kominers
Kominers, Scott. "Professional-School Training Is Invaluable, Even for Scholars." Chronicle of Higher Education (February 14, 2012).
- Article
Matching in Networks with Bilateral Contracts
By: John William Hatfield and Scott Duke Kominers
We introduce a model in which firms trade goods via bilateral contracts which specify a buyer, a seller, and the terms of the exchange. This setting subsumes (many-to-many) matching with contracts, as well as supply chain matching. When firms' relationships do not...
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Hatfield, John William, and Scott Duke Kominers. "Matching in Networks with Bilateral Contracts." American Economic Journal: Microeconomics 4, no. 1 (February 2012): 176–208.
- Article
Hinged Dissections Exist
By: Timothy G. Abbott, Zachary Abel, David Charlton, Erik D. Demaine, Martin L. Demaine and Scott Duke Kominers
We prove that any finite collection of polygons of equal area has a common hinged dissection. That is, for any such collection of polygons there exists a chain of polygons hinged at vertices that can be folded in the plane continuously without self-intersection to form...
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Abbott, Timothy G., Zachary Abel, David Charlton, Erik D. Demaine, Martin L. Demaine, and Scott Duke Kominers. "Hinged Dissections Exist." Discrete & Computational Geometry 47, no. 1 (January 2012): 150–186.
- Article
Lessons from the GoDaddy Customer Revolt
By: Scott Duke Kominers and Paul Myer Kominers
Kominers, Scott Duke, and Paul Myer Kominers. "Lessons from the GoDaddy Customer Revolt." Harvard Business Review (website) (December 29, 2011).
- 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...
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Keywords:
Matching;
Networks;
Joint Ventures;
Stability;
Competitive Equilibrium;
Core;
Efficiency;
Economics;
Theory
Hatfield, John William, and Scott Duke Kominers. "Stability and Competitive Equilibrium in Matching Markets with Transfers." ACM SIGecom Exchanges 10, no. 3 (December 2011).
- Other Article
Sharing the Fun of Research
By: Scott Kominers
Kominers, Scott. "Sharing the Fun of Research." Harvard Gazette (October 27, 2011).
- October 2011
- Supplement
Online Marketing at Big Skinny — slide supplement
By: Benjamin Edelman and Scott Duke Kominers
Slide Supplement for 911-034
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Keywords:
Consumer Products Industry
- 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...
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Gaglani, Shiv, Maria Elena De Obaldia, Scott Duke Kominers, Dayan Li, and Carol Y. Suh. Success with Science: The Winners' Guide to High School Research. Tucson, AZ: Research Corporation for Science Advancement, 2011.
- February 2011 (Revised June 2014)
- Teaching Note
Online Marketing at Big Skinny
By: Benjamin Edelman and Scott Kominers
Teaching Note for 911033.
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- 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...
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Keywords:
Advertising Campaigns;
Digital Marketing;
Resource Allocation;
Marketing Strategy;
Performance Evaluation;
Internet and the Web;
Retail Industry
Edelman, Benjamin, and Scott Duke Kominers. "Online Marketing at Big Skinny." Harvard Business School Case 911-033, February 2011. (Revised February 2012.) (request a courtesy copy.)
- 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”...
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Keywords:
Erdős-Szekeres Theorem;
Happy End Problem;
Big Line Or Big Clique Conjecture;
Empty Quadrilateral;
Empty Pentagon;
Empty Hexagon
Abel, Zachary, Brad Ballinger, Prosenjit Bose, Sébastien Collette, Vida Dujmović, Ferran Hurtado, Scott Duke Kominers, Stefan Langerman, Attila Pór, and David Wood. "Every Large Point Set Contains Many Collinear Points or an Empty Pentagon." Graphs and Combinatorics 27, no. 1 (January 2011): 47–60.
- 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...
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Keywords:
Entrepreneurship;
Geographic Location;
Patents;
Labor;
Industry Clusters;
Industry Structures;
Relationships;
Competitive Advantage;
Technology Industry;
California
Kerr, William R., and Scott Duke Kominers. "Agglomerative Forces and Cluster Shapes." Harvard Business School Working Paper, No. 11-061, December 2010.
- 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...
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Kominers, Paul Myer, and Scott Duke Kominers. "A Constant Bound for the Periods of Parallel Chip-firing Games with Many Chips." Archiv der Mathematik 95, no. 1 (July 2010): 9–13.
- Article
Course Allocation by Proxy Auction
By: Scott Duke Kominers, Mike Ruberry and Jonathan Ullman
Kominers, Scott Duke, Mike Ruberry, and Jonathan Ullman. "Course Allocation by Proxy Auction." Proceedings of the International Workshop on Internet and Network Economics 6th (2010): 551–558. (Lecture Notes in Computer Science, Vol. 6484.)