4 problems

Arm-switching conjecture. After fixing the number $r$ of plays of arm $A$ and the number $s$ of plays of arm $B$, more frequent arm switches result in higher asymptotic profits per…

Ethier and Lee's conjecture. If the assumption that $r+s$ divides $J$ is replaced by the assumption that $J=2$, with $r\geq 1$ and $s\geq 1$, then the same conclusion holds: the Pa…

Assume $\kappa>0$ and $\lambda>0$, with $\lambda<1+\kappa$, $\kappa\ne\lambda$, and $\lambda\ne1$. Let $E_s$, $G_s$, and $H_s$ be the quantities defined in the paper, and set … In…

Let games $A$ and $B$ be as in Theorem 4, with the bias parameter absent. For positive integers $r$ and $s$, let $\mu_{[r,s]}(0)$ denote the expected gain per turn for the periodic…