Interesting! So this is a kind of representation theorem (a bit like the VNM Theorem) but instead of saying that Archimedean preferences of gambles can be represented as a standard sum, it says that any aggregation method (even a non-Archimedean one) can be represented by a sum of a hyperreal utility function applied to each of its parts.
Interesting! So this is a kind of representation theorem (a bit like the VNM Theorem) but instead of saying that Archimedean preferences of gambles can be represented as a standard sum, it says that any aggregation method (even a non-Archimedean one) can be represented by a sum of a hyperreal utility function applied to each of its parts.
Yes, I think that’s a good summary!