this expected value is zero.. But in reality, player two strategy beyond the depth-limit depends on what our strategy is above the depth-limit. If we choose rock, 80 percent of the time, player two's strategy isn't going to be to play the Nash equilibrium, it's going to be choosing paper, 100 percent of the time. So, this is what the state values will look like or if we were to choose paper, 80 percent of time, then they would switch to always choosing scissors, and this is what the state values would look like.