1. Players 1 and 2 are bargaining over how to split 5 dollars. Player 1 proposes to take si dollars (81 should be an integer), leaving (5-81) dollars for player 2. Then player 2 either accepts or rejects the offer. If player 2 accepts the offer, then the payoffs are s₁ dollars to player 1, and (5-s₁) dollars to player 2. If player 2 rejects the offer, then the payoffs are zero to both. How many subgame-perfect Nash equilibria are there in the game?

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Players 1 and 2 are bargaining over how to split 5 dollars. Player 1 proposes to
take si dollars (sı should be an integer), leaving (5-s1) dollars for player 2. Then
player 2 either accepts or rejects the offer. If player 2 accepts the offer, then the
payoffs are s dollars to player 1, and (5 – s;) dollars to player 2. If player 2
rejects the offer, then the payoffs are zero to both. How many subgame-perfect
Nash equilibria are there in the game?
1.
3
4.
2)
5.
Transcribed Image Text:Players 1 and 2 are bargaining over how to split 5 dollars. Player 1 proposes to take si dollars (sı should be an integer), leaving (5-s1) dollars for player 2. Then player 2 either accepts or rejects the offer. If player 2 accepts the offer, then the payoffs are s dollars to player 1, and (5 – s;) dollars to player 2. If player 2 rejects the offer, then the payoffs are zero to both. How many subgame-perfect Nash equilibria are there in the game? 1. 3 4. 2) 5.
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