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Asymmetric cut and choose games

2022/07/19 by Peter Holy, Philipp Schlicht, Holy, Peter +5
Decision Sciences · Economics, Econometrics and Finance · Mathematics · #03E05 (Primary) #03E35 (Secondary) #03E55 #Advanced Topology and Set Theory #Economic theories and models #FOS: Mathematics #Game Theory and Applications #Logic (math.LO)

paper · pdf · doi:10.48550/arxiv.2207.09199

openalex publication_date 2022/07/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate a variety of cut and choose games, their relationship with (generic) large cardinals, and show that they can be used to characterize a number of properties of ideals and of partial orders: certain notions of distributivity, strategic closure, and precipitousness.

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