Assume firms' marginal and average costs are constant and equal to c and that inverse market demand is given by P = a-bQ where a, b>0. Suppose now the market is served by 2 firms (one leader, and one follower) that choose quantities for their identical products. Calculate: i. ii. iii. iv. The Nash equilibrium quantities for the Stackelberg duopolists Market output Market price Firm profit

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Consider two Cournot oligopolists, firm 1 and firm 2, in a homogenous product market. The market demand is P = 100 – 3Q and each firm has a constant marginal cost MC=10. The Cournot equilibrium quantity for each firm is: a. 7.5 b. 10 c. 5 d.15

Q8

Suppose that identical duopoly firms have constant marginal costs of $0 per unit. Firm 1 faces ademand function of q1 = 100 – 2p1 + p2, where q1 is Firm 1’s output, p1 is Firm 1’s price, and p2 isFirm 2’s price. Similarly, the demand Firm 2 faces is q2 = 100 – 2p2 + p1. Please solve for theBertrand equilibrium.

Question 1 Suppose the romaine lettuce industry is a Cournot duopoly with the following two firms: Amalgamated Romaine (a) and Best Romaine (b). The (inverse) market demand schedule is: p = 262 -0.5Q Amalgamated Romaine has the following cost structure: MCATC₁ = $6 Best Romaine has a different cost structure: MC₁ = ATC₁ = $8 Find the following in Cournot-Nash equilibrium. a. Output of Amalgamated Romaine = b. Output of Best Romaine = c. Cournot duopoly equilibrium price = $ units units 3 pts

Consider two Cournot oligopolists, firm 1 and firm 2, in a homogenous product market. The market demand is P = 100 - 3Q and each firm has a constant marginal cost MC=10. The market price of equilibrium and total quantity in the market is: Select one: O a. P* 30 and Q* = 20 O b. P* 40 and Q* = 20 ○ C. P* 40 and Q* = 30 d. P20 and Q* = 30

Two firms are engaged in Cournot (simultaneous quantity) competition. Market-level inverse demand is given by P = 160 − 4Q Firm 1 has constant marginal costs of MC1 = 8, while Firm 2 has constant marginal costs of MC2 = 24.           1) Does there exist a low enough positive marginal cost for firm 1 such that firm 1 acts like a monopoly in this market, if so what is the MC if not why?

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