PROBLEM (1) Firms 1 and 2 have total cost functions TC₁(q) = q² and TC₂ (q) = ²/3 (with MC₁(q) = 2q and MC₂ (q) =) respectively. They are competing in quantities in a market with (inverse) demand p = 630 - 20. Determine the market price in each of the following market organization scenarios: (a) [C] Cournot-Nash equilibrium They are competing in Cournot competition. (b) [S] Stackelberg Equilibrium As in (a), but A is the leader and chooses the quantity first (and B chooses her quantity afterwards, observing A's choice). (c) [M] Collusion They collude as in a cartel, to maximize joint profits.
PROBLEM (1) Firms 1 and 2 have total cost functions TC₁(q) = q² and TC₂ (q) = ²/3 (with MC₁(q) = 2q and MC₂ (q) =) respectively. They are competing in quantities in a market with (inverse) demand p = 630 - 20. Determine the market price in each of the following market organization scenarios: (a) [C] Cournot-Nash equilibrium They are competing in Cournot competition. (b) [S] Stackelberg Equilibrium As in (a), but A is the leader and chooses the quantity first (and B chooses her quantity afterwards, observing A's choice). (c) [M] Collusion They collude as in a cartel, to maximize joint profits.
Chapter15: Imperfect Competition
Section: Chapter Questions
Problem 15.3P
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