Oligopoly Consider a small town that has only two Sushi restaurants, A and B. Suppose that it costs $2 to make each sushi (for each store) and that the relation between sales in each month (q, measured in thousands) and price (p, measured in dollars) for each firm is 1 di = 24-pi + Pj. (a) What is each store's monthly profit as a function of PA and PB? (b) What are the Nash equilibrium prices, quantities, and profits for A and B?
Oligopoly Consider a small town that has only two Sushi restaurants, A and B. Suppose that it costs $2 to make each sushi (for each store) and that the relation between sales in each month (q, measured in thousands) and price (p, measured in dollars) for each firm is 1 di = 24-pi + Pj. (a) What is each store's monthly profit as a function of PA and PB? (b) What are the Nash equilibrium prices, quantities, and profits for A and B?
Chapter1: Making Economics Decisions
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
Transcribed Image Text:3. Oligopoly Consider a small town that has only two Sushi restaurants, A and B. Suppose that it costs
$2 to make each sushi (for each store) and that the relation between sales in each month (q, measured
in thousands) and price (p, measured in dollars) for each firm is
1
qi = 24 - Pi + Pj.
(a) What is each store's monthly profit as a function of PA and PÅ?
(b) What are the Nash equilibrium prices, quantities, and profits for A and B?
(c) Suppose that the two firms work together and collusively choose a joint best price pc. What
single price do they choose to maximize their joint profits?
Now consider the two restaurants, C and D, engaging in Cournot competition in a different town.
Their inverse demands are given as p(Q) = 40 - 5Q where Q = 9₁ +92. Costs are c₁(9₁) = 109₁ and
91
C₂ (92) = 2q2 + 2q²/2
(d) Find the Nash Equilibrium quantities for each firm.
(e) Calculate profit for each firm.|
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