We can similarly view the concept of 'reputation' in terms of people making public that they act according to a particular algorithm\. Arguendo according to LDT, we can view properties like "not giving in to blackmail" or "refusing an offer of \$4 with 17% probability in the Ultimatum Game" in terms of acquiring a reputation for acting rationally under a systematic decision theory, rather than people trying to acquire a reputation for useful irrationality with the 'useful irrationality' being a variety assortment of special cases\.
pick one