Two players are bargaining over a three period bargaining model as discussed in class with player 1 making offers in rounds 1 and 3. Player 2 makes an offer in round 2 only. Each player has a common discount factor delta. The two players are bargaining to split $20. They have three time periods available to them for their bargaining game. At the end of round 3, if no agreement has been reached then player 1 receives $2 and player 2 receives $1 and the rest of the money is destroyed. Find the subgame perfect Nash equilibrium outcome in the finite horizon model in which the game ends after period 3.

Microeconomic Theory
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ISBN:9781337517942
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Chapter8: Game Theory
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Economics
Two players are bargaining over a three period
bargaining model as discussed in class with player
1 making offers in rounds 1 and 3. Player 2 makes
an offer in round 2 only. Each player has a
common discount factor delta.
The two players are bargaining to split $20. They
have three time periods available to them for their
bargaining game. At the end of round 3, if no
agreement has been reached then player 1
receives $2 and player 2 receives $1 and the rest of
the money is destroyed.
Find the subgame perfect Nash equilibrium
outcome in the finite horizon model in which the
game ends after period 3.
Transcribed Image Text:Economics Two players are bargaining over a three period bargaining model as discussed in class with player 1 making offers in rounds 1 and 3. Player 2 makes an offer in round 2 only. Each player has a common discount factor delta. The two players are bargaining to split $20. They have three time periods available to them for their bargaining game. At the end of round 3, if no agreement has been reached then player 1 receives $2 and player 2 receives $1 and the rest of the money is destroyed. Find the subgame perfect Nash equilibrium outcome in the finite horizon model in which the game ends after period 3.
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