Well, i am going to write an explanation of Kinked demand since i cannot understand the book.(I know i am stupid-.-)
Kinked demand is one of the main theories which explain how oligopolists behave which indicative of price rigidity ( stickiness or stable) in oligopoly.
The two main points are :
The kinked demand curve at P1 and Q1 means that there is a discontinuity in marginal revenue curve.
To sum up, the firms are interdependent on each other. Since it is very hard to rise or fall price, they prefer non-price factor competition in branding, location and ext.