Rational players never wish to have less information. Strategic options are provably non-negative in value in standard games.
Against opponents who model the player, the player may wish their opponents do not believe they have these options or information. For more powerful modelers as opponents, the best way for the opponents not to know is to actually not have those capabilities. But the value is through opponent manipulation, not direct advantage of fewer options or less knowledge.
It’s important to keep this in mind, in order to avoid over-valuing ignorance. It’s very rarely the best way to manipulate your opponents in the real world.
Rational players never wish to have less information. Strategic options are provably non-negative in value in standard games.
Against opponents who model the player, the player may wish their opponents do not believe they have these options or information. For more powerful modelers as opponents, the best way for the opponents not to know is to actually not have those capabilities. But the value is through opponent manipulation, not direct advantage of fewer options or less knowledge.
It’s important to keep this in mind, in order to avoid over-valuing ignorance. It’s very rarely the best way to manipulate your opponents in the real world.