In a repeated game players ${\displaystyle (I=\{1,2,\dots ,n\})}$  interact over ${\displaystyle T\leq \infty }$  periods. Each period represents a single iteration of the (simultaneous-move) stage game ${\displaystyle \Gamma }$  in which each player selects a strategy ${\displaystyle s_{i}\in S_{i}=\{s_{i}^{1},s_{i}^{2}\dots \}}$ .