Duke - Publications - Faculty & Research

In July 2019, James Currier, a general partner at San Francisco-based NFX Ventures, was considering a seed stage investment of $1.5 million in Moov Technologies, a B2B marketplace for used industrial equipment. NFX was a venture capital firm focused on seed-stage... View Details

Keywords: Venture Capital; Network Effects; Marketplace Matching; Digital Platforms; Market Design; Applications and Software; Semiconductor Industry; Financial Services Industry; San Francisco

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2021
Article

Prisoners, Rooms, and Lightswitches

By: Daniel M. Kane and Scott Duke Kominers

We examine a new variant of the classic prisoners and lightswitches puzzle: A warden leads his n prisoners in and out of r rooms, one at a time, in some order, with each prisoner eventually visiting every room an arbitrarily large number of times. The... View Details

Keywords: Mathematical Methods

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2019
Article

Configurations of Extremal Type II Codes via Harmonic Weight Enumerators

By: Noam D. Elkies and Scott Duke Kominers

We prove configuration results for extremal Type II codes, analogous to the configuration results of Ozeki and of the second author for extremal Type II lattices. Specifically, we show that for n ∈{8,24,32,48,56,72,96} every extremal Type II code of length n is... View Details

Keywords: Mathematical Methods

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January 2019
Teaching Note

GoFundMe: The Giving Layer of the Internet

By: Scott Duke Kominers and Allison M. Ciechanover

Teaching Note for HBS No. 818-108. View Details

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January 2018 (Revised February 2018)
Technical Note

Making Markets

By: Thomas R. Eisenmann and Scott Duke Kominers

Explains how to identify and capitalize on marketplace design opportunities. Defines markets and marketplaces and describes the basic functions of each. Discusses attributes (e.g., heterogeneity of participants' preferences and asymmetry in available information) that... View Details

Keywords: Marketplaces; Two-Sided Markets; Entrepreneurship; Market Design; Digital Platforms; Marketplace Matching; Market Participation; Market Transactions; Market Entry and Exit; Digital Platforms; Auctions

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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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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

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