"Logical decision theories"?
One quality shared by these theories is that they are concerned about the logical implications (within some mathematical model of the world) that would follow from the hypothesis that the agent chooses a given action.
Not necessarily, a variant of TDT could work without logical specification of decisions, it only needs some way of referring to the decision as part of the environment, and tools for figuring out what other facts about the environment follow from the fact that is the decision. So, "self-referential", "reflexive" and "non-independent" could work, but "logical" doesn't seem to capture what's going on. See this discussion between Wei Dai and myself.
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!