Suppose firms A, B, and C set prices while facing per-period demand of Q = 200 - P, which yields a MR curve MR = 200 – 2Q for a monopolist. When setting prices non-cooperatively, the firms choose their prices simultaneously. All firms have MC = 20. The firms are currently involved in a cartel that sets the monopoly price and divides quantity evenly among the firms. The firms enforce their cartel arrangement with a grim trigger strategy. The Department of Justice (DOJ) has just started an antitrust division that is designed to break up cartels. The DOJ successfully detects and prosecutes a cartel with probability s, and prosecuted cartels receive the fine F and are prevented from ever colluding again. The firms believe that their interaction will continue forever (p = 1.0), and they discount future periods at R= 0.80. Which strategic variable are the firms choosing? What type of competition is this? O A. Quantity; Cournot O B. Quantity; Bertrand O C. Price; Cournot O D. Price; Bertrand I. II. What are the firms' per-period profits from: $ $. $ operating collusively and setting the monopoly price unilaterally defecting from the cartel choosing non-cooperative equilibrium prices III. In the absence of antitrust prosecution, are the three firms able to maintain a cartel while using the grim trigger strategy for the given R and p? O Yes O No

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Suppose firms A, B, and C set prices while facing per-period demand of Q = 200 - P, which
yields a MR curve MR = 200 – 2Q for a monopolist. When setting prices non-cooperatively,
the firms choose their prices simultaneously. All firms have MC = 20. The firms are currently
involved in a cartel that sets the monopoly price and divides quantity evenly among the
firms. The firms enforce their cartel arrangement with a grim trigger strategy.
The Department of Justice (DOJ) has just started an antitrust division that is designed to
break up cartels. The DOJ successfully detects and prosecutes a cartel with probability s,
and prosecuted cartels receive the fine F and are prevented from ever colluding again.
The firms believe that their interaction will continue forever (p = 1.0), and they discount
future periods at R 0.80.
I.
Which strategic variable are the firms choosing? What type of competition is this?
O A. Quantity; Cournot
O B. Quantity; Bertrand
C. Price; Cournot
O D. Price; Bertrand
II.
What are the firms' per-period profits from:
$
$.
$
operating collusively and setting the monopoly price
unilaterally defecting from the cartel
choosing non-cooperative equilibrium prices
III.
In the absence of antitrust prosecution, are the three firms able to maintain a cartel
while using the grim trigger strategy for the given R and p?
O Yes
O No
Transcribed Image Text:Suppose firms A, B, and C set prices while facing per-period demand of Q = 200 - P, which yields a MR curve MR = 200 – 2Q for a monopolist. When setting prices non-cooperatively, the firms choose their prices simultaneously. All firms have MC = 20. The firms are currently involved in a cartel that sets the monopoly price and divides quantity evenly among the firms. The firms enforce their cartel arrangement with a grim trigger strategy. The Department of Justice (DOJ) has just started an antitrust division that is designed to break up cartels. The DOJ successfully detects and prosecutes a cartel with probability s, and prosecuted cartels receive the fine F and are prevented from ever colluding again. The firms believe that their interaction will continue forever (p = 1.0), and they discount future periods at R 0.80. I. Which strategic variable are the firms choosing? What type of competition is this? O A. Quantity; Cournot O B. Quantity; Bertrand C. Price; Cournot O D. Price; Bertrand II. What are the firms' per-period profits from: $ $. $ operating collusively and setting the monopoly price unilaterally defecting from the cartel choosing non-cooperative equilibrium prices III. In the absence of antitrust prosecution, are the three firms able to maintain a cartel while using the grim trigger strategy for the given R and p? O Yes O No
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