Interesting post! As a technical matter, I think the notion you want is not reflection (or endorsement) but some version of Total Trust, where (leaving off some nuance) Agent 1 totally trusts Agent 2 if E1(V(ω)|E2(V(ω)>x)>x for all x. In general, that’s going to be equivalent to Alice being willing to outsource all decision-making to Bob if she’s certain Bob has the same basic preferences she does. (It’s also equivalent to expecting Bob to be better on all absolutely continuous strictly proper scoring rules, and a few other things.)
Interesting post! As a technical matter, I think the notion you want is not reflection (or endorsement) but some version of Total Trust, where (leaving off some nuance) Agent 1 totally trusts Agent 2 if E1(V(ω)|E2(V(ω)>x)>x for all x. In general, that’s going to be equivalent to Alice being willing to outsource all decision-making to Bob if she’s certain Bob has the same basic preferences she does. (It’s also equivalent to expecting Bob to be better on all absolutely continuous strictly proper scoring rules, and a few other things.)