You either need a bunch of assumptions about preferences, or you need one less of those assumptions, plus a few other assumptions about knowing trades, induction, and adherence to a specific policy.
I see. I think this is right.
the proposed agent with a preferential gap seems like it’s still only epsilon-different from an actual EU maximizer.
I agree with this too, but note that the agent with a single preferential gap is just an example. Agents can have arbitrarily many preferential gaps and still avoid pursuing dominated strategies. And agents with many preferential gaps may behave quite differently to expected utility maximizers.
I see. I think this is right.
I agree with this too, but note that the agent with a single preferential gap is just an example. Agents can have arbitrarily many preferential gaps and still avoid pursuing dominated strategies. And agents with many preferential gaps may behave quite differently to expected utility maximizers.