Question

The collusion problem of a cartel is simplified as follows. There are two firms, A and B. Each firm can choose to produce two levels of output, H (high) or L (low). The payoffs to the firms are summarized in the following matrix: B's payoff A's payoff H L H (2,2) (14,0) L (0,14) (8,8) i. The cartel agreement is for each firm to produce a low level (L). What are the payoffs to the firms if the agreement is observed? ii. Explain why individual firm has no incentive to produce a low level of output as specified in the agreement.

          The collusion problem of a cartel is simplified as follows. There are two firms, A and B. Each firm can choose to produce two levels of output, H (high) or L (low). The payoffs to the firms are summarized in the following matrix:      B's payoff    A's payoff  H L    H (2,2) (14,0)    L (0,14) (8,8)    i. The cartel agreement is for each firm to produce a low level (L). What are the payoffs to the firms if the agreement is observed?    ii. Explain why individual firm has no incentive to produce a low level of output as specified in the agreement.
        
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Principles of Economics
Principles of Economics
Gregory Mankiw 8th Edition
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The collusion problem of a cartel is simplified as follows. There are two firms, A and B. Each firm can choose to produce two levels of output, H (high) or L (low). The payoffs to the firms are summarized in the following matrix: B's payoff A's payoff H L H (2,2) (14,0) L (0,14) (8,8) i. The cartel agreement is for each firm to produce a low level (L). What are the payoffs to the firms if the agreement is observed? ii. Explain why individual firm has no incentive to produce a low level of output as specified in the agreement.
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Transcript

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00:01 So part one, as per the agreement, both firms have to produce at a low level.
00:31 The payoff of the agreement is reached at 8 .8.
00:58 Part two, so if neither a or b has any incentive to produce at a low level.
01:30 And since there's no incentive to produce at this low level, that means they're always going to want to move away from that low level.
01:35 If a produces at a high level, its maximum payoff is $4 .4 .5.
01:57 Because that's greater than eight...
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