From my perspective as an agent trying to counfound Omega and win, I should not consider Omega’s predictions and my actions to subjuntively depend, and my definition would say so.
I think your definition does say so, and rightfully so. Your source code is run in the historical cases as well, so indirectly it does confound Omega. Or are you saying your source code changes? Then there’s no (or no full) subjunctive dependence with either definition. If your source code remains the same but your specific-for-each-game strategy changes, we can imagine something like using historical data as an observation in your strategy, in which case it can be different each time. But again, then there is no (or no full) subjunctive dependence with either definition. I might misunderstand what you mean though.
Thanks again for your reply, I think discussing this is important!
Thanks for your reply!
I think your definition does say so, and rightfully so. Your source code is run in the historical cases as well, so indirectly it does confound Omega. Or are you saying your source code changes? Then there’s no (or no full) subjunctive dependence with either definition. If your source code remains the same but your specific-for-each-game strategy changes, we can imagine something like using historical data as an observation in your strategy, in which case it can be different each time. But again, then there is no (or no full) subjunctive dependence with either definition. I might misunderstand what you mean though.
Thanks again for your reply, I think discussing this is important!