Consider the Nash Bargaining game. There are 2 players who have to decide how to split one dollar. The bargaining process works as follows. Players simultaneously announce the share they would like to receive si and s2, with 0 < $1, 82 < 1. If s1 + $2 < 1, then the players receive the shares they named and if si + s2 > 1, then both players fail to achieve an agreement and receive zero. Find a strictly dominant strategy. Find a pure strategy Nash equilibrium?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter8: Game Theory
Section: Chapter Questions
Problem 8.9P
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Consider the Nash Bargaining game. There are 2 players who have to decide how to split
one dollar. The bargaining process works as follows. Players simultaneously announce
the share they would like to receive sį and s2, with 0 < $1, $2 < 1. If s1 + s2 < 1, then
the players receive the shares they named and if si + s2 > 1, the both players fail to
achieve an agreement and receive zero. Find a strictly dominant strategy. Find a pure
strategy Nash equilibrium?
Transcribed Image Text:Consider the Nash Bargaining game. There are 2 players who have to decide how to split one dollar. The bargaining process works as follows. Players simultaneously announce the share they would like to receive sį and s2, with 0 < $1, $2 < 1. If s1 + s2 < 1, then the players receive the shares they named and if si + s2 > 1, the both players fail to achieve an agreement and receive zero. Find a strictly dominant strategy. Find a pure strategy Nash equilibrium?
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