Suppose that Norway (country 1) and Russia (country 2) are the only two natural gas exporters to Germany. The inverse demand curve is P= 100-Q, where P is price and Q is the total quantity in the market. Costs are C1=Q12 and C2=10*Q2, where C1 and C2 are the total costs for Norway and Russia, respectively. Suppose Norway and Russia compete on quantity (Cournot Duopoly). What are the market price and quantity in Germany? How much does each country sell in Germany?
Suppose that Algeria (country 1) and Russia (country 2) are the only two natural gas exporters to French. The inverse demand curve is P= 100-Q, where P is price and Q is the total quantity in the market. Costs are C1=20*Q1and C2=10*Q2, where C1 and C2 are the total costs for Algeria and Russia, respectively. Suppose Algeria and Russia compete on price (Bertrand Duopoly). What are the market price and quantity in French? How much does each country sell in French?