I don’t appreciate your hostility and assumption of bad faith here. Like I could answer your objections and point out that your hypothetical is misleading (because you’re stipulating that people aren’t different and differences in preferences and motivations are what explain why a mixed strategy works), but it seems like that’s not really your issue.
The concept of “least convenient possible world” comes in here. There may be situations in which a mixed strategy is possible without lying, but your idea applies both to those situations and to less convenient situations where it does require lying.
I don’t appreciate your hostility and assumption of bad faith here. Like I could answer your objections and point out that your hypothetical is misleading (because you’re stipulating that people aren’t different and differences in preferences and motivations are what explain why a mixed strategy works), but it seems like that’s not really your issue.
The concept of “least convenient possible world” comes in here. There may be situations in which a mixed strategy is possible without lying, but your idea applies both to those situations and to less convenient situations where it does require lying.