Question: Can someone please help me? I could really use some help from (h) through (v). Game Theory I am posting the whole question for background

Can someone please help me? I could really use some help from (h) through (v). Game Theory

I am posting the whole question for background information

Can someone please help me? I could really use some help from

(h) through (v). Game Theory I am posting the whole question for

There is only one firm, Fender, in guitar market. The cost functions of Fender is (q) = 29. The inverse demand function of the market is P(Q) = 7 - Q. Fender has to select production levels to maximize profits. (a) Find the profit maximizing quantity for Fender. (You need to write down their maximization problem first.) (b) Calculate the market price. (c) What is Fender's profits? Now, a second firm, Gibson, enters the market. Gibson has an identical cost function. Suppose Fender and Gibson are competing in quantities, and each firm chooses quantities simultaneously. (d) Find the profit maximizing quantity for Fender. e) Find the profit maximizing quantity for Gibson. (f) Calculate the market price. (g) What is Fender's profits? Now, suppose Fender and Gibson compete in a sequential way. Gibson (the follower) decides their output after watching the output of Fender (the leader). What is the Stackelberg equilibrium output for each firm? (h) Find the profit maximizing quantity for Fender. (i) Find the profit maximizing quantity for Gibson. () Calculate the market price. (k) What is Fender's profits? (1) If you are CEO of Fender, which of the three situations (monopoly, Cournot duopoly, Stackelberg duopoly) would you prefer? Now, suppose that Fender and Gibson form a cartel. That is, they decide the production level together as if the firms merged into a single firm (forming a monopoly). (m) Calculate the market quantity. (n) Calculate the market price. (0) Find the cartel output for each firm. (Fender and Gibson divide the market output equally and produce the same quantity of guitars.) (p) What is Fender's profits? (9) Find the profit maximizing quantity for Fender when Fender cheats on the agreement while Gibson produces the cartel output. (r) Is the cartel stable? In other words, does Fender have an incentive to cheat? Now, consider Bertrand duopoly model. Fender and Gibson are competing in prices, and each firm chooses prices simultaneously. (s) Find the profit maximizing price for Fender. (t) Find the profit maximizing price for Gibson. (u) Calculate the market quantity. (w) What is Fender's profits

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