2. Consider an infinitely repeated game in which, in each period, two firms with zero costs choose quantities and prices are given by: p1 = 1 - q1 - q2/2, p2 1 - q2 - q1/2. Firms have a common discount factor of 8 = 1/2. %3D a) Explain what a trigger strategy is and determine whether the firms can attain the joint profit maximising outcome in a subgame perfect equilibrium using trigger strategies. b) Explain what a stick and carrot strategy is and discuss whether it is possible to attain the joint-profit maximising outcome in a subgame perfect equilibrium using stick and carrot strategies.

Microeconomic Theory
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ISBN:9781337517942
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Chapter15: Imperfect Competition
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Problem 15.6P
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2. Consider an infinitely repeated game in which, in each period, two firms with
zero costs choose quantities and prices are given by: p1 = 1 - q1 - q2/2, p2 = 1 -
q2 - q1/2. Firms have a common discount factor of 8 = 1/2.
a) Explain what a trigger strategy is and determine whether the firms can attain
the joint profit maximising outcome in a subgame perfect equilibrium using
trigger strategies.
b) Explain what a stick and carrot strategy is and discuss whether it is possible
to attain the joint-profit maximising outcome in a subgame perfect equilibrium
using stick and carrot strategies.
Transcribed Image Text:2. Consider an infinitely repeated game in which, in each period, two firms with zero costs choose quantities and prices are given by: p1 = 1 - q1 - q2/2, p2 = 1 - q2 - q1/2. Firms have a common discount factor of 8 = 1/2. a) Explain what a trigger strategy is and determine whether the firms can attain the joint profit maximising outcome in a subgame perfect equilibrium using trigger strategies. b) Explain what a stick and carrot strategy is and discuss whether it is possible to attain the joint-profit maximising outcome in a subgame perfect equilibrium using stick and carrot strategies.
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