Does UDT not allow randomization, or is Omega just disallowing it in this case?
EDIT: Or does it turn out to be irrelevant?
You don’t want to randomize in this case. Omega has given you a unique ID. Exploiting that information in a well-chosen deterministic strategy gets you a higher chance of winning than does picking randomly.
1A 2B makes more sense than the reverse—I would go with that.
The “by symmetry” argument in the post should be rejected, since being given “1″ and being given “2” are not really “symmetrical”.
UDT allows randomization. Any prevention would be due to Omega’s handling of expected randomization.
(Pardon me, I should say that I believe UDT allows randomization based on my prior suggesting UDT is not obviously insane.)
Does UDT not allow randomization, or is Omega just disallowing it in this case?
EDIT: Or does it turn out to be irrelevant?
You don’t want to randomize in this case. Omega has given you a unique ID. Exploiting that information in a well-chosen deterministic strategy gets you a higher chance of winning than does picking randomly.
1A 2B makes more sense than the reverse—I would go with that.
The “by symmetry” argument in the post should be rejected, since being given “1″ and being given “2” are not really “symmetrical”.
UDT allows randomization. Any prevention would be due to Omega’s handling of expected randomization.
(Pardon me, I should say that I believe UDT allows randomization based on my prior suggesting UDT is not obviously insane.)