Diffractor

Diffractor is the first author of this paper. Official title: "Regret Bounds for Robust Online Decision Making" > Abstract: We propose a framework which generalizes "decision making with structured observations" by allowing robust (i.e. multivalued) models. In this framework, each model associates each decision with a convex set of probability...

We now resume your regularly scheduled LessWrong tradition of decision theory posting. This is a sequence, be sure to note. Just the first and last post will be on Alignment Forum, and the whole thing will be linked together. Epistemic Status: This is mostly just recapping old posts so far....

Proofs are in this link This will be a fairly important post. Not one of those obscure result-packed posts, but something a bit more fundamental that I hope to refer back to many times in the future. It's at least worth your time to read this first section up to...

Post Status: Original research, mathy, high-context. Make sure you've read the last three posts in the sequence first, this is going to be a very rough one to start on. As a recap of the last three posts, bargaining has an elegant notion of what a neutral point is: the...

There have been a few remarks about how my and Vanessa’s posts on Infra-Bayesianism seem interesting, but that it's quite a formidable body of work to chew through. So anyone interested in learning Inframeasure theory to the level of proficiency where they are actually able to develop their own proofs...

In the previous two posts, we went over various notions of bargaining. The Nash bargaining solution. The CoCo value. Shapley values. And eventually, we managed to show they were all special cases of each other. The rest of this post will assume you've read the previous two posts and have...

Alright, time for the payoff, unifying everything discussed in the previous post. This post is a lot more mathematically dense, you might want to digest it in more than one sitting. Imaginary Prices, Tradeoffs, and Utilitarianism Harsanyi's Utilitarianism Theorem can be summarized as "if a bunch of agents have their...