I'm studying game theory and there is a slide where I don't quite understand how exactly each value was deduced particularly:
For $BR_L(q)$ and $BR_c(q)$. I understand why they are functions of $q$ and $p$, since the best response of one player is dependent on what strategy the other player will choose, but i'm not sure exactly why they take values of $1$ and $[0,1]$ and $0$ for the specific values of $q$ and $p$. If someone could explain the derivation of these, that would help a lot!