this post was submitted on 15 Jan 2026
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I am behind the times on some abbreviations. And dense.
What is AD in this context?
The axiom of determinacy, which implies some of (or all?) of the statements in op, and is more or less stated at the end. AD implies ~AC but they're not equivalent.
If I open up a pack of biscuits, and we each take turns eating a biscuit, AD says that there's a dominant strategy that can ensure that I eat the last biscuit. (e.g. there's only 1 biscuit; I win, or there's an odd number of biscuits; I win)
i.e. AD says you can rig games like this from the start