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Question
1. There are three firms, labeled A, B, and C, each able to produce a single unit of a product. There are numerous suppliers, each of which can supply the necessary input to only one firm; each supplier has a supplier cost (or opportunity cost) of $4. There are two buyers, each interested in buying at most one unit. Both buyers have a willingness-to-pay of $ 9 for each firm's product.
a) What is the total value of this game? What is the added value of each player?
b) How much value do you expect each player to capture?
2. Now suppose a slight change to the game. Everything is the same for firms B and C as before. But now, suppliers have a supplier cost of $5 for supplying firm A, and buyers have a willingness-to-pay of $11 for firm A's product. Recalculate the added values of the players, and find how much value each player will capture, in the second game.
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