Repeated Game and Collusion Consider two firms that are playing a Bertrand game at each stage of an infinitely repeated game. They have the same discount factor d < 1 and the same constant marginal cost c. If they co-operate in the stage game then they each produce half the monopoly quantity qm and sell at the monopoly price pm. (a) What strategies, based on a threat of charging c in the stage game, the collusive outcome? will produce (b) For what values of 6 do these strategies constitute a sub-game perfect Nash equi- librium?
Repeated Game and Collusion Consider two firms that are playing a Bertrand game at each stage of an infinitely repeated game. They have the same discount factor d < 1 and the same constant marginal cost c. If they co-operate in the stage game then they each produce half the monopoly quantity qm and sell at the monopoly price pm. (a) What strategies, based on a threat of charging c in the stage game, the collusive outcome? will produce (b) For what values of 6 do these strategies constitute a sub-game perfect Nash equi- librium?
Chapter1: Making Economics Decisions
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![Repeated Game and Collusion
Consider two firms that are playing a Bertrand game at each stage of an infinitely
repeated game. They have the same discount factor 8 < 1 and the same constant
marginal cost c. If they co-operate in the stage game then they each produce half the
monopoly quantity q" and sell at the monopoly price p".
(a) What strategies, based on a threat of charging c in the stage game, will produce
the collusive outcome?
(b) For what values of o do these strategies constitute a sub-game perfect Nash equi-
librium?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b80beb3-7f20-4cd8-9570-8d0670fcd8d3%2F836b0215-0c32-426b-90e1-d2a7e834949c%2Fwpefn2o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Repeated Game and Collusion
Consider two firms that are playing a Bertrand game at each stage of an infinitely
repeated game. They have the same discount factor 8 < 1 and the same constant
marginal cost c. If they co-operate in the stage game then they each produce half the
monopoly quantity q" and sell at the monopoly price p".
(a) What strategies, based on a threat of charging c in the stage game, will produce
the collusive outcome?
(b) For what values of o do these strategies constitute a sub-game perfect Nash equi-
librium?
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