Suppose that two corporations, Analytica and Bobmetrics, are negotiating the share of profit from a time sensitive joint project. The total profit generated by the project is £10 million. However, every day that the deal is delayed reduces the value of the total profit by £1 million. The way the negotiation is set up is the following: in the first day, Analytica’s lawyers propose a split of the profits, and Bobmetrics’ lawyers can agree, or they can discuss it some more and make their own offer on the second day. After that the two teams alternate. Analytica gets to make proposals on days 1, 3, 5, 7, and 9, while Bobmetrics makes proposals on days 2, 4, 6, 8 an 10. On day 11, the profit from the joint project becomes 0. The negotiations stop when either company accepts the proposal of the other, or on day 11. Find the subgame perfect Nash equilibria of this dynamic negotiation game. What happens when the loss of value is slower or faster? What conclusions can you draw? Briefly explain and discuss.
Suppose that two corporations, Analytica and Bobmetrics, are negotiating the share of profit from a time sensitive joint project. The total profit generated by the project is £10 million. However, every day that the deal is delayed reduces the value of the total profit by £1 million. The way the negotiation is set up is the following: in the first day, Analytica’s lawyers propose a split of the profits, and Bobmetrics’ lawyers can agree, or they can discuss it some more and make their own offer on the second day. After that the two teams alternate. Analytica gets to make proposals on days 1, 3, 5, 7, and 9, while Bobmetrics makes proposals on days 2, 4, 6, 8 an 10. On day 11, the profit from the joint project becomes 0. The negotiations stop when either company accepts the proposal of the other, or on day 11. Find the subgame perfect Nash equilibria of this dynamic negotiation game. What happens when the loss of value is slower or faster? What conclusions can you draw? Briefly explain and discuss.
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