I have repeatedly argued for a departure from pure Bayesianism that I call "quasi-Bayesianism". But, coming from a LessWrong-ish background, it might be hard to wrap your head around the fact Bayesianism is somehow deficient. So, here's another way to understand it, using Bayesianism's own favorite trick: Dutch booking!

Consider a Bayesian agent Alice. Since Alice is Bayesian, ey never randomize: ey just follow a Bayes-optimal policy for eir prior, and such a policy can always be chosen to be deterministic. Moreover, Alice always accepts a bet if ey can cho

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And here I thought the reason was going to be that Bayesianism doesn't appear to include the cost of computation. (Thus, the usual dutch book arguments should be adjusted so that "optimal betting" does not leave one worse off for having payed, say, an oracle, too much for computation.)

3Dagon14dBayeseans are allowed to understand that there are agents with better estimates than they have. And that being offered a bet _IS_ evidence that the other agent THINKS they have an advantage. Randomization (aka "mixed strategy") is well-understood as the rational move in games where opponents are predicting your choices. I have read nothing that would even hint that it's unavailable to Bayesean agents. The relevant probability (updated per Bayes's Rule) would be "is my counterpart trying to minimize my payout based on my choices". edit: I realize you may be using a different definition of "bayeseanism" than I am. I'm thinking humans striving for rational choices, which perforce includes the knowledge of incomplete computation and imperfect knowledge. Naive agents can be imagined that don't have this complexity. Those guys are stuck, and Omega's gonna pwn them.
4mr-hire14dIt feels like there's better words for this like rationality, whereas bayesianism is a more specific philosophy about how best to represent and update beliefs.

Vanessa Kosoy's Shortform

by Vanessa Kosoy 18th Oct 201952 comments


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Crossposted from the AI Alignment Forum. May contain more technical jargon than usual.