Regardless of what the new player does, there is no reason to ever play scissors. I don’t see any interesting “4-choice dynamic” here. Perhaps you should pick a different example with multiple Nash equilibria.
You are confusing “reason to choose” (which is obviously not there; optimal strategy is trivial to find) with “happens to be chosen”. Ie you are looking at what is said from an angle which isn’t crucial to the point.
Everyone is aware that scissors is not be chosen at any time if the player has correctly evaluated the dynamic. Try asking a non-sentence in a formal logic system to stop existing cause it evaluated the dynamic, and you’ll get why your point is not sensible.
Regardless of what the new player does, there is no reason to ever play scissors. I don’t see any interesting “4-choice dynamic” here. Perhaps you should pick a different example with multiple Nash equilibria.
You are confusing “reason to choose” (which is obviously not there; optimal strategy is trivial to find) with “happens to be chosen”. Ie you are looking at what is said from an angle which isn’t crucial to the point.
Everyone is aware that scissors is not be chosen at any time if the player has correctly evaluated the dynamic. Try asking a non-sentence in a formal logic system to stop existing cause it evaluated the dynamic, and you’ll get why your point is not sensible.