I've seen/heard Eliezer state his position on AIXI several times, but can't locate a detailed argument.
You may be thinking of a 2003 posting and ensuing discussion on the AGI mailing list, in which Yudkowsky argued that AIXI's lack of reflectivity leaves it vulnerable in Prisoner's Dilemma-type situations. Best wishes, the Less Wrong Reference Desk.
Thanks, I'll take that as confirmation that Eliezer never posted his planned critique on Less Wrong.
in which Yudkowsky argued that AIXI's lack of reflectivity leaves it vulnerable in Prisoner's Dilemma-type situations
That's one problem with AIXI, but not directly relevant to the blog post XiXiDu and I linked to. I was thinking of a recent presentation I saw where the presenter said "It [AIXI] gets rid of all the humans, and it gets a brick, and puts it on the reward button." and it turns out that was Roko, not Eliezer.
A bit more searching rev...
Link: physicsandcake.wordpress.com/2011/01/22/pavlovs-ai-what-did-it-mean/
Suzanne Gildert basically argues that any AGI that can considerably self-improve would simply alter its reward function directly. I'm not sure how she arrives at the conclusion that such an AGI would likely switch itself off. Even if an abstract general intelligence would tend to alter its reward function, wouldn't it do so indefinitely rather than switching itself off?
If it wants to maximize its reward by increasing a numerical value, why wouldn't it consume the universe doing so? Maybe she had something in mind along the lines of an argument by Katja Grace:
Link: meteuphoric.wordpress.com/2010/02/06/cheap-goals-not-explosive/
I am not sure if that argument would apply here. I suppose the AI might hit diminishing returns but could again alter its reward function to prevent that, though what would be the incentive for doing so?
ETA:
I left a comment over there:
ETA #2:
What else I wrote: