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      • 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... View Details
      Keywords: Mathematical Methods
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      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.
      • 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... View Details
      Keywords: Discrete Choice; Unit Demand; Separable Demand; Linear Demand; Demand and Consumers; Market Design; Mathematical Methods; Economics
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      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

      By: Scott Duke Kominers
      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... View Details
      Keywords: Many-to-Many Matching; Stability; Substitutes; Contract Design; Unitarity; Market Design; Contracts; Marketplace Matching; Balance and Stability; Economics
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      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... View Details
      Keywords: Substitutability; Matching; Communication Complexity; Preference Elicitation; Marketplace Matching; Communication; Mathematical Methods; Economics
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      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,... View Details
      Keywords: Governance; Market Design; Property
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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.
      • 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... View Details
      Keywords: Contracts; Market Design; Marketplace Matching; Supply Chain
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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... View Details
      Keywords: Folding; Reconfiguration; Hinge; Plygon; Refinement; Mathematical Methods
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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
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      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... View Details
      Keywords: Matching; Networks; Joint Ventures; Stability; Competitive Equilibrium; Core; Efficiency; Economics; Theory
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      Hatfield, John William, and Scott Duke Kominers. "Stability and Competitive Equilibrium in Matching Markets with Transfers." ACM SIGecom Exchanges 10, no. 3 (December 2011).
      • November 2011
      • Teaching Note

      Duke Energy and the Nuclear Renaissance (TN)

      By: Richard H.K. Vietor
      Keywords: Energy Generation
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      Vietor, Richard H.K. "Duke Energy and the Nuclear Renaissance (TN)." Harvard Business School Teaching Note 712-032, November 2011.
      • 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
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      Edelman, Benjamin, and Scott Duke Kominers. "Online Marketing at Big Skinny — slide supplement." Harvard Business School PowerPoint Supplement 912-006, October 2011.
      • September 2011 (Revised February 2014)
      • Case

      Duke Energy and the Nuclear Renaissance

      By: Richard H.K. Vietor and Forest L. Reinhardt
      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
      Keywords: Cost vs Benefits; Expansion; Policy; Business Strategy; Energy Sources; Utilities Industry; Energy Industry; United States
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      Vietor, Richard H.K., and Forest L. Reinhardt. "Duke Energy and the Nuclear Renaissance." Harvard Business School Case 712-002, September 2011. (Revised February 2014.)
      • 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
      Keywords: Science; 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 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
      Keywords: Advertising Campaigns; Digital Marketing; Resource Allocation; Marketing Strategy; Performance Evaluation; Internet and the Web; Retail Industry
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      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”... View Details
      Keywords: Erdős-Szekeres Theorem; Happy End Problem; Big Line Or Big Clique Conjecture; Empty Quadrilateral; Empty Pentagon; Empty Hexagon
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      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... View Details
      Keywords: Entrepreneurship; Geographic Location; Patents; Labor; Industry Clusters; Industry Structures; Relationships; Competitive Advantage; Technology Industry; California
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      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... View Details
      Keywords: Chip-firing; Parallel Chip-firing; Stabilization
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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
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      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.)
      • 2010
      • Article

      A Categorical Construction of Ultrafilters

      By: Daniel Litt, Zachary Abel and Scott Duke Kominers
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      Litt, Daniel, Zachary Abel, and Scott Duke Kominers. "A Categorical Construction of Ultrafilters." Rocky Mountain Journal of Mathematics 40, no. 5 (2010): 1611–1617.
      • 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
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      Hong, Shaofang, and Scott Duke Kominers. "Further Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions." Proceedings of the American Mathematical Society 138, no. 3 (March 2010): 809–813.
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