This paper analyzes strategic choice in p-beauty contests. First, I show that it is not generally a best reply to guess the expected target value, even in games with n2 players, and that iterated best response strictly applied does not induce a choice sequence approximating pk⋅0.5. Second, I...

The extensive form game we study has multiple perfect equilibria, but it has a unique limiting logit equilibrium (QRE) and a unique level-k prediction as k approaches infinity. The convergence paths of QRE and level-k are different, but they converge to the same limit point. We analyze whether...