Asymmetric Cut and Choose Games

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Bulletin of Symbolic Logic 29 (4):588-625 (2023)
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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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10.1017/bsl.2023.31

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