Suppose a network-exchange theory experiment is run on the graph depicted in Figure 12.14 using the one-exchange rule with $10 placed on each edge.

(a) After running the experiment for awhile, the experimenters vary the network: they introduce two further nodes, e and f, and bring in additional people to play the roles of these nodes. Node e is attached by a single edge to node b, while node f is attached by a single edge to node c.

A new round of experiments is performed with this new six-node network. Explain what you think will happen to the relative power of the participants, compared to the situation in the original four-node network. Give a brief (one- to three-sentence) explanation for your answer. You do not have to give actual numbers for the amounts of money the nodes would receive.

(b) The experimenters now decide to vary the network again. They keep the same set of nodes, but now they add an edge linking node e directly to node f. (The existing edges continue to remain in place as well.)

A new round of experiments is performed with this modified six-node network. Explain what you think will happen to the relative power of the participants, compared to the situation in the previous six-node network in part (a). Give a brief (one- to three-sentence) explanation for your answer. You do not have to give actual numbers for the amounts of money the nodes would receive.