Progress in thermographic & atomic weight calculi for combinatorial games

Question

In Combinatorial Game Theory by Aaron Siegel the following are given:

Question (page 150). Can the atomic weight theory be generalized to higher-order uptimals?

Open Problem (page 151). Extend the atomic weight calculus to a procedure for computing aw(G) for arbitrary atomic G.

Open Problem (page 299). Extend the atomic weight calculus to (an appropriate subclass of) stoppers.

Open Problem (page 377). Develop a thermographic calculus that works for all loopy games.

Question (page 409). Can the atomic weight calculus be generalized to $\text{PG}^0$?

Has any progress been made in any of the above?

Answer 1

I wouldn't say I'm up to date on all CGT research, but I would assume it's fairly likely any significant progress would be posted on the arXiv and mention "atomic weight" or "thermographic calculus" in the abstract. There are no relevant math or CS papers there with "atomic weight" in the abstract. There are no papers with "thermographic calculus" in any arXiv field. Neither of the two papers (at the time of writing) with "loopy game" in the abstract have progress on these questions.

So I would say the answer is probably not.