Yes I'm quite aware... note that if there's a sequence of outcomes whose values increase without bound, then you could construct a lottery that has infinite value by appropriately mixing the lotteries together, e.g. put probability 2^-k on the outcome with value 2^k. Then this lottery would be problematic from the perspective of continuity (or even having an evaluable utliity function).


Are lotteries allowed to have infinitely many possible outcomes? (The Wikipedia page about the VNM axioms only says "many"; I might look it up on the original paper when I have time.)

Open thread, January 25- February 1

by NancyLebovitz 1 min read25th Jan 2014318 comments


If it's worth saying, but not worth its own post (even in Discussion), then it goes here.