Transitivity is a fundamental axiom necessary for a consistent utility function, which is central to rational choice theory. Sure, the potential for resource loss makes it more problematic for the agents you’re studying, but if you don’t have a consistent utility function to support your modeling in the first place, it’s already problematic for your studying of the agents. Put another way, you don’t even need to “reach” the coherence argument if you can’t get over the consistency bar.
If there’s no resource loss in that cycle, why is it a problem at all?
Transitivity is a fundamental axiom necessary for a consistent utility function, which is central to rational choice theory. Sure, the potential for resource loss makes it more problematic for the agents you’re studying, but if you don’t have a consistent utility function to support your modeling in the first place, it’s already problematic for your studying of the agents. Put another way, you don’t even need to “reach” the coherence argument if you can’t get over the consistency bar.