oh, I didn't think about it! It seems that it contradicts the principle of Nash equilibrium, since in Nash equilibrium you don't have any reason to change your

oh, I didn't think about it! It seems that it contradicts the principle of Nash equilibrium, since in Nash equilibrium you don't have any reason to change your strategy. However, if you change a "smart" strategy to a "dumb" strategy you're not increasing/decreasing your winning changes, so it still fulfills the Nash equilibrium principle.