After googling Reflexive the only problem I have with using "Reflexive decision theories" is that it may prevent someone using Reflexive Decision Theory for an actual instance of a well developed decision theory. The name is perfect. (And the name UDT is just STUPID! It only makes sense by redefining 'update'.)
And the name UDT is just STUPID!
I hope you don't blame me too much for that, because it was Eliezer who gave it that name, and I was only complicit to the extent that I didn't object.
It only makes sense by redefining 'update'.
I think "updateless" was meant to refer to the fact that UDT doesn't do explicit Bayesian updating, which doesn't seem unreasonable to me...
(BTW I remember you once said you also didn't like the language I used to describe UDT, but didn't say why when I asked. I'm still curious about that.)
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!