Most of the others just say "better" instead of saying what the desired sort of theory actually does.
Actually, it's precisely for this reason that "reflexive" doesn't work for what I originally wanted: I wanted to use a word to denote TDT, UDT, ADT, etc, not in terms of how they work but in terms of satisfying the five conditions, the most important of which is that they out-perform CDT. How a decision theory works is a secondary consideration to how well it works.
In my recent post, I outlined 5 conditions that I'd like a decision theory to pass; TDT, UDT and ADT pass them, while CDT and EDT don't. I called decision theories that passed those conditions "advanced decision theories", but that's probably not an optimal name. Can I ask you to brainstorm some other suggestions for me? (I may be writing a follow-up soon.)
As usual, it's best to brainstorm on your own before reading any of the comments. You can write down your ideas, then check if any have already been suggested, then comment with the new ones.
Thanks!