Arad and Rubinstein (2012, AER) proposed the 11–20 money request game as an alternative to the P beauty contest game for measuring the depth of thinking. In this paper, we show theoretically that in the Nash equilibrium of the 11–20 game players are more likely to choose high numbers if they...

Expected utility theory (EUT) is currently the standard framework which formally defines rational decision-making under risky conditions. EUT uses a theoretical device called von Neumann-Morgenstern utility function, where concepts of function and random variable are employed in their...