See, this would have been a lot clearer if you had specified initially that your objection was to the domain.
Sorry if there was any confusion. Here are all the possible outcomes—and their associated (real valued) utilities—laboriously spelled out in a table:
Remembers being presented with (A,B) and chooses A—utility 1.0.
Remembers being presented with (A,B) and chooses B—utility 0.0.
Remembers being presented with (B,C) and chooses B—utility 1.0.
Remembers being presented with (B,C) and chooses C—utility 0.0.
Remembers being presented with (C,A) and chooses C—utility 1.0.
Remembers being presented with (C,A) and chooses A—utility 0.0.
Other action—utility 0.0.
See, this would have been a lot clearer if you had specified initially that your objection was to the domain.
Sorry if there was any confusion. Here are all the possible outcomes—and their associated (real valued) utilities—laboriously spelled out in a table:
Remembers being presented with (A,B) and chooses A—utility 1.0.
Remembers being presented with (A,B) and chooses B—utility 0.0.
Remembers being presented with (B,C) and chooses B—utility 1.0.
Remembers being presented with (B,C) and chooses C—utility 0.0.
Remembers being presented with (C,A) and chooses C—utility 1.0.
Remembers being presented with (C,A) and chooses A—utility 0.0.
Other action—utility 0.0.