Consider the CBA negotiating with Myer regarding the rate of interest for a loan. The CBA can offer any interest rate r between 0 and 10. If Myer accepts the payoff to the CBA is r, and the payoff to Myer is 10 – r. If Myer rejects the offer the payoffs are 0 to the CBA and 4 to Myer.What do we observe in the credible (subgame perfect) equilibrium of this negotiation?Group of answer choicesThe CBA offers r = 10 and Myer rejectsThe CBA offers r = 0 and Myer acceptsThe CBA offers r = 4 and Myer acceptsThe CBA offers r = 10 and Myer acceptsThe CBA offers r = 6 and Myer accepts
Question
Consider the CBA negotiating with Myer regarding the rate of interest for a loan. The CBA can offer any interest rate r between 0 and 10. If Myer accepts the payoff to the CBA is r, and the payoff to Myer is 10 – r. If Myer rejects the offer the payoffs are 0 to the CBA and 4 to Myer.What do we observe in the credible (subgame perfect) equilibrium of this negotiation?Group of answer choicesThe CBA offers r = 10 and Myer rejectsThe CBA offers r = 0 and Myer acceptsThe CBA offers r = 4 and Myer acceptsThe CBA offers r = 10 and Myer acceptsThe CBA offers r = 6 and Myer accepts
Solution
The CBA offers r = 6 and Myer accepts.
Here's why:
In this negotiation, Myer would accept any offer where its payoff is greater than or equal to its outside option, which is 4. This means that the CBA could offer any interest rate r such that 10 - r >= 4, or r <= 6.
On the other hand, the CBA wants to maximize its own payoff, which is the interest rate r. Therefore, it would offer the highest interest rate that Myer would accept, which is r = 6.
So, in the subgame perfect equilibrium of this negotiation, the CBA offers r = 6 and Myer accepts.
Similar Questions
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