Great discussion! Just pointing out two additional relevant references:Aumann, Hart, Perry. The Absent-Minded Driver. Games and Economic Behavior, 1997.
Korzukhin. A Dutch Book for CDT Thirders. Synthese, 2020.
The first one also discusses how optimal policies are consistent with CDT+SIA. Both give examples of other policies being consistent with CDT+SIA too.
Great discussion! Just pointing out two additional relevant references:
Aumann, Hart, Perry. The Absent-Minded Driver. Games and Economic Behavior, 1997.
Korzukhin. A Dutch Book for CDT Thirders. Synthese, 2020.
The first one also discusses how optimal policies are consistent with CDT+SIA. Both give examples of other policies being consistent with CDT+SIA too.