# Rational Player in Game Theory

I'm new to the topic and currently only introduced to Normal Form Games. So about this rational player in game theory... I was wondering if the player could still be considered rational by choosing an irrational answer to the game to be be able to better position them self in the later game? Or would this never be the case since that would still be considered rational? At what point does uncertainty about the behaviors of a player come in?

Thank you

• It's paradoxical for an rational player to choose a choice that is irrational with full knowledge. Perhaps you want irrational to imply unpredictability, which rational players can be. Uncertainties, like having mixed strategies where it is rational to mix up ones strategies, is accounted for. – Paul Burchett May 5 '17 at 14:28
• If there are multi-tier games in game-theory, the overall expected utility (including the expected reaction functions of every other player) is taken into account. Depending on how expected utility is computed, this may include uncertainty variables. So if he can position himself extraordinarily well in a higher-tier game, whether he chooses the seemingly irrational choice in the first game still depends on how much to gain and how probable it is overall. But he NEVER chooses irrationally. It just may seem so from a standpoint of different informations. – Philip Klöcking May 5 '17 at 17:57
• When you're playing chicken, it's rational to take your hands off the steering wheel to convince the other player that you're crazy. This works in real life too. See Richard Nixon's madman theory. en.wikipedia.org/wiki/Madman_theory – user4894 May 5 '17 at 20:14
• Thank you for all your comments. I enjoyed being introduced to these new concepts (i.e. multi-tier games). Haha, @user4894. How can this mad man strategy be reflected in the analytical construction describing a game? Can uncertainty only be represented in the utility function of a particular player? – ThunderVault May 8 '17 at 12:03
• @PhilipKlöcking where can I get some nice reading on multi-tier games in game theory? – ThunderVault May 8 '17 at 12:16