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- July 2014
- Article
Convergence of Position Auctions under Myopic Best-Response Dynamics
By: Matthew Cary, Aparna Das, Benjamin Edelman, Ioannis Giotis, Kurtis Heimerl, Anna Karlin, Scott Duke Kominers, Claire Mathieu and Michael Schwarz
We study the dynamics of multi-round position auctions, considering both the case of exogenous click-through rates and the case in which click-through rates are determined by an endogenous consumer search process. In both contexts, we demonstrate that the dynamic... View Details
- Article
Patterns of Failure after Involved Field Radiation Therapy for Pediatric and Young Adult Hodgkin Lymphoma
By: Minh-Phuong Huynh-Le, Amanda J. Walker, Scott Duke Kominers, Ido Paz-Priel, Moody D. Wharam and Stephanie A. Terezakis
Involved field radiation therapy (IFRT) is integral in curative therapy for Hodgkin lymphoma (HL), although primarily used in patients with intermediate/high‐risk HL. We present failure patterns and clinical outcomes in a cohort of pediatric and young adult patients... View Details
- Article
Asymptotic Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions
By: Daniel M. Kane and Scott Duke Kominers
For relatively prime positive integers and r, we consider the least common multiple L_n:=\mathop{\textrm{lcm}}(u_0,u_1,\dots, u_n) of the finite arithmetic progression \{u_k:=u_0+kr\}_{k=0}^n. We derive new lower bounds on L_n that improve upon those obtained... View Details
Keywords: Mathematical Methods
- May 2014
- Article
Investment Incentives in Labor Market Matching
By: John William Hatfield, Fuhito Kojima and Scott Duke Kominers
We provide an illustration of how the design of labor market clearing mechanisms can affect incentives for human capital acquisition. Specifically, we extend the labor market matching model (with discrete transfers) of Kelso and Crawford (1982) to incorporate the... View Details
- Article
Delayed-Response Strategies in Repeated Games with Observation Lags
By: Drew Fudenberg, Yuhta Ishii and Scott Duke Kominers
We extend the folk theorem of repeated games to two settings in which players' information about others' play arrives with stochastic lags. In our first model, signals are almost-perfect if and when they do arrive, that is, each player either observes an almost-perfect... View Details
- September 2013 (Revised March 2014)
- Case
Progress Energy and Duke Energy (A)
By: Guhan Subramanian and Charlotte Krontiris
Just as Duke Energy and Progress Energy announce their merger—forming the largest utility company in the United States, to be led by the current Progress CEO—a nuclear reactor owned by Progress suffers major damage and must be taken offline. While Progress grapples... View Details
- September 2013 (Revised March 2014)
- Supplement
Progress Energy and Duke Energy (B)
By: Guhan Subramanian and Charlotte Krontiris
- 2013
- Article
Minimal S-Universality Criteria May Vary in Size
By: Noam D. Elkies, Daniel M. Kane and Scott Duke Kominers
In this note, we give simple examples of sets $\mathcal{S}$ of quadratic forms that have minimal $\mathcal{S}$-universality criteria of multiple cardinalities. This answers a question of Kim, Kim, and Oh [KKO05] in the negative. View Details
- June 2013
- Article
Vacancies in Supply Chain Networks
By: John William Hatfield and Scott Duke Kominers
We use the supply chain matching framework to study the effects of firm exit. We show that the exit of an initial supplier or end consumer has monotonic effects on the welfare of initial suppliers and end consumers but may simultaneously have positive and negative... View Details
- January 2013 (Revised May 2013)
- Case
Kunshan, Incorporated: The Making of China's Richest Town
By: William C. Kirby, Nora Bynum, Tracy Yuen Manty and Erica M. Zendell
In 1980, the city of Kunshan was mere countryside, registering neither on the Chinese government's nor the international business community's radar. By 2010, Kunshan had become the richest city per capita in China and a global technology powerhouse, home to companies... View Details
- Article
On Derivatives Markets and Social Welfare: A Theory of Empty Voting and Hidden Ownership
By: Jordan M. Barry, John William Hatfield and Scott Duke Kominers
In the past twenty-five years, derivatives markets have grown exponentially. Large, modern derivatives markets increasingly enable investors to hold economic interests in corporations without owning voting rights, and vice versa. This leads to both empty... View Details
- Article
Stability and Competitive Equilibrium in Trading Networks
By: John William Hatfield, Scott Duke Kominers, Alexandru Nichifor, Michael Ostrovsky and Alexander Westkamp
We introduce a model in which agents in a network can trade via bilateral contracts. We find that when continuous transfers are allowed and utilities are quasi-linear, the full substitutability of preferences is sufficient to guarantee the existence of stable outcomes... View Details
- 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
- 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
- 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... View Details
- 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
- 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
- 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
- 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