@freemo this is at least adjacent to the Nash Equilibrium. When parties will act in response to each other repeatedly there will emerge an optimal strategy that in general is not a single action, but a statistical distribution of actions that do not allow the other party to predict with certainty the next action.
For example in baseball, a pitcher's best pitch might be a fastball, but he will only throw it 70% of the time even though other pitches have worse individual outcomes because he must ensure the batter doesn't just sit on the fast ball.