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Putting Fair Division on the Map

2025/04/28 by Paula Böhm, Böhm, Paula, Robert Bredereck +7 · 1 voice
Computer Science · Decision Sciences · Economics, Econometrics and Finance · #Auction Theory and Applications #Computer Science and Game Theory (cs.GT) #FOS: Computer and information sciences #Game Theory and Voting Systems #Mobile Crowdsensing and Crowdsourcing #cs.GT

paper · pdf · doi:10.48550/arxiv.2504.20161

openalex publication_date 2025/04/28 · arxiv published 2025/04/28 · arxiv updated 2025/05/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

The fair division of indivisible goods is not only a subject of theoretical research, but also an important problem in practice, with solutions being offered on several online platforms. Little is known, however, about the characteristics of real-world allocation instances and how they compare to synthetic instances. Using dimensionality reduction, we compute a map of allocation instances: a 2-dimensional embedding such that an instance's location on the map is predictive of the instance's origin and other key instance features. Because the axes of this map closely align with the utility matrix's two largest singular values, we define a second, explicit map, which we theoretically characterize.

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