Doc and Brewster are in a negotiation over royalties. The negotiations proceed as follows. Doc can set a price p. Having seen Doc’s offer Brewster can either accept (A) or reject (R). If Brewster accepts Doc’s offer the payoffs are p to Doc and 500 – p to Brewster. If Brewster rejects (R) the payoffs are 0 to Doc and 150 to Brewster. What is the highest price p that Doc can offer that is accepted in the subgame perfect equilibrium? p = .
Question
Doc and Brewster are in a negotiation over royalties. The negotiations proceed as follows. Doc can set a price p. Having seen Doc’s offer Brewster can either accept (A) or reject (R). If Brewster accepts Doc’s offer the payoffs are p to Doc and 500 – p to Brewster. If Brewster rejects (R) the payoffs are 0 to Doc and 150 to Brewster. What is the highest price p that Doc can offer that is accepted in the subgame perfect equilibrium? p = .
Solution
In this negotiation game, Brewster will accept Doc's offer as long as he gets more than what he would get if he rejects. If Brewster rejects, he gets 150. Therefore, Brewster will accept any offer where he gets more than 150.
The payoffs if Brewster accepts are p to Doc and 500 – p to Brewster. So, Brewster will accept if 500 - p > 150. Solving this inequality for p gives us p < 350.
Therefore, the highest price p that Doc can offer that is accepted in the subgame perfect equilibrium is p = 349.
Similar Questions
Doc and Brewster are in a negotiation over royalties. The negotiations proceed as follows. Doc can set a price p. Having seen Doc’s offer Brewster can either accept (A) or reject (R). If Brewster accepts Doc’s offer the payoffs are p to Doc and 50 – p to Brewster. If Brewster rejects (R) the payoffs are 20 to Doc and 40 to Brewster. With respect to the subgame perfect equilibrium, which statements are true?Group of answer choicesDoc offers a price of p = 10Brewster rejects the offer he gets in equilibriumBrewster accepts the offer he gets in equilibriumBrewster accepts any offer of p ≥ 40.Doc offers any price greater than or equal to 20Doc offer a price less than or equal 40
Consider a negotiation between a car buyer and a used-car salesperson. The car salesperson values a car at $10,000 and the buyer values it at $12,000. Suppose the buyer moves first and offers a price p. The car salesperson can accept or reject the offer. If the offer is rejected the buyer can buy an identical car from a different dealer for a price of $5000. In the subgame perfect equilibrium: Group of answer choices Buyer offers $10,000 and the car salesperson rejects Buyer offers $10,000 and the car salesperson accepts Buyer offers $12,000 and the car salesperson rejects. Buyer offers $5000 and the car salesperson rejects Buyer offers $5000 and the car salesperson accepts Buyer offers $12,000 and the car salesperson accepts
Chrissie owns a vintage guitar that she values at $0. Mark would like to buy the guitar and values it at $1000. The negotiations are as follows. Mark offers a price to Chrissie. If Chrissie agrees trade takes place at the agreed price. If Chrissie rejects the offer, negotiations end and each party receives a payoff of $0. What is the outcome of the negotiations?Group of answer choicesMark offers a price close to $1000 and Chrissie rejects the offerTrade takes place at a price of $1000.Trade takes place at a price of $500Trade takes place at a price of $0Chrissie rejects any offer Mark makes.
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
The figure depicts a single-price (standard) monopoly. What is the equilibrium price and output?Selected answer will be automatically saved. For keyboard navigation, press up/down arrow keys to select an answer.athere is no equilibrium under monopolybP' and Q'cP and QdP' and Q
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.