2 problems

Let $v_A(n,d,k)$ denote the value of Alpern's Caching Game with $n$ doors, $d$ treasures, and searcher power $k$. Csóka's conjecture. If $k\geq 1+\frac{2}{d-1}$ and $n\geq dk$, the…

Let $v_A(n,d,k)$ denote the value of Alpern's Caching Game with $n$ doors, $d$ treasures, and searcher power $k$. Csóka's conjecture. If $k$ is an integer and $n\geq dk$, then … Th…