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1/ (Cournot's duopoly game with linear inverse demand and a fixed cost)
Find the Nash equilibrium of Cournot's game when there are 2 firms, the inverse demand function is given by equation
P(Q) = a - Q if Q < a ; P(Q) = 0 if Q > a
The cost function of each firm i is given by Ci(qi) = 0 if qi = 0 ; Ci(qi) = f + c.qi if qi > 0 , where c > 0, f > 0, and c < a. (Note that the fixed cost f affects only the firm's decision of whether to operate; it does not affect the output a firm wishes to produce if it wishes to operate.)
A firm sells its product in a perfectly competitive market where other firms charge a price of $80 per unit.The firm's total costs are C ( Q) = 40 + 8Q +2Q2. a.How much output should the firm produce in the short run
Suppose that 3 countries who form a cartel agreed to divide the oil market equally. Demand for oil is given by P=50-.1Q where P is the price of oil in dollars per barrel and Q is the Quantity in thousands of barrels per day. Each of the 3 countrie..
Suppose Eddie's demand curve for text messages is T=150-500Pt, where T stands for the number of text messages and Pt represents the price of text messages. What is Eddie's consumer surplus if Pt = $.10 per message
Consider a market with the market demand D: P = 80 - Q, which is served by four Cournot oligopolistic producers (firms) with the constant marginal cost MC = $30 and no fixed cost.When these four firms collude to form a cartel (they behave like a mo..
Argocy Associates a US based investment partnership, borrows €80.000.000 at a time when the exchange rate is $1,3460/€.The entire principal is to be repaid in three years, and interest is 6,250% per annum,paid annualy in euros.
assume that the government decides toreduce spending and taxes and so G = T = 274.16. What value mustthe central bank set for M in order to keep the price levelconstant following the government downsizing
benefit-cost analysisthe objectives of the assignment are to gain further experience in calculating net present values
Assets Liabilities Total reserves $12 billion Transactions accounts $ 50 billion Loans $27 billion Securities $11 billion Total $50 billion Total $50 billion 22.3. If the required reserve ratio is 0.20, what is the unused lending capacity of the b..
The given information is the quarterly sales of gasoline in the U.S. in millions of barrels during part of the 1980s and the 1990s. Determine the linear trend and use it to forecast sales for first quarter of 1992.
Casper's utility function is 3x + y, where x is his consumption of cocoa and y is his consumption of cheese. If the total cost of x units of cocoa is x^2, the price of cheese is $8, and Casper's income is $174, how many units of cocoa will he cons..
The Federal Reserve has just purchased $100 million in Treasury bills from commercial banks. b. If the public holds a fixed amount of currency (so that all loans create an equal amount of deposits in the banking system), the minimum reserve ratio ..
Calculate the change in deadweight loss if the U.S. replaces a prohibitive tariff per unit on imported wine by an equal production subsidy per unit of wine sold by U.S. producers. [Note: P = price per unit; Qd = billions of units demanded; Qs = bi..
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