Asymmetric cut and choose games

Peter Holy; Philipp Schlicht; Christopher Turner; Philip Welch

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arXiv · 2207.09199

Asymmetric cut and choose games

Peter Holy·Philipp Schlicht·Christopher Turner·Philip Welch

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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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Peter Holy, Philipp Schlicht, Christopher Turner, Philip Welch. 2022-07-19. Asymmetric cut and choose games. https://arxiv.org/abs/2207.09199

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