2. Given the social network depicted in Figure 2, consider nodes a and b (in red) as initial adopters of technology A, and the rest of the nodes are currently using technology B with heterogeneous adoption thresholds. Nodes c and d (in blue) have an adaption threshold of q = 1/3 and the rest of the nodes (in green) have an adoption threshold of q2 = 1/2. (3 marks) (a) Develop all the iterations until either all the nodes have adopted technology A, or the spread stops. Explain clearly which nodes switch to A at each iteration and why. (b) Have all the nodes switched to A? If not, provide two possible solutions to spread technol- ogy A to the entire graph. Justify your answer. b C e f g h i Figure 2: Problem 2 - Cascading Behaviour in Networks.