Let's say that you run a network exchange experiment on a complete graph with n nodes. The graph has at least four nodes (n4) and an even number of nodes (n is even). Every node is part of an exchange, splitting $1. a. If the network exchange outcome is stable, how much money must each node get? Explain why the resulting outcome is stable, and explain why this is the only possible split of money that results in a stable outcome. Make sure you explain what the outcome is and why it's stable for all complete graphs with an even number of nodes n4 (e.g., not just for a specific value of n). b. Is the network-exchange outcome from (a) balanced? Explain. c. Based on what you know about network-exchange experiments and power in networks, why might you expect the network-exchange outcome described in part (a)? Provide an intuitive explanation in 1-3 sentences. Hint: Think about each node's position in the network and its power relative to other nodes