Consider three individuals who bargain over splitting a pie of size 1. Let the share of individual i be si, where 1 = 1. Their utilities are all linear and given by ui= si. The bargaining powers of individuals 1, 2 and 3 are 0.5, 0.25 and 0.25, respectively. Their threat points are u = .1, u = h and ug = .2, respectively. Define the Nash Bargaining solution as si, s2 and s3. Now, suppose that individual 2's threat point increases. As a result: (a) s2 increase, both s₁ and s3 decrease, but s3 decreases more than $1 (b) s2 increase, both s₁ and s3 decrease, but s₁ decreases more than 83 (c) s2 and s₁ increase, but s3 decreases (d) 82 and 83 increase, but s₁ decreases

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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course: advanced microeconomics

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Consider three individuals who bargain over splitting a pie of size 1. Let the share of individual i be si,
where 1 = 1. Their utilities are all linear and given by uż = sį. The bargaining powers of individuals
h and ug = 2,
ui
=
1, 2 and 3 are 0.5, 0.25 and 0.25, respectively. Their threat points are u¦ = .1, u2
respectively. Define the Nash Bargaining solution as si, s and s3. Now, suppose that individual 2's
threat point increases. As a result:
(a) s2 increase, both s₁ and s3 decrease, but s3 decreases more than $₁
(b) s2 increase, both s₁ and s3 decrease, but s₁ decreases more than 83
S1
(c) s2 and s₁ increase, but s3 decreases
(d) s2 and s3 increase, but s₁ decreases
Transcribed Image Text:3 Consider three individuals who bargain over splitting a pie of size 1. Let the share of individual i be si, where 1 = 1. Their utilities are all linear and given by uż = sį. The bargaining powers of individuals h and ug = 2, ui = 1, 2 and 3 are 0.5, 0.25 and 0.25, respectively. Their threat points are u¦ = .1, u2 respectively. Define the Nash Bargaining solution as si, s and s3. Now, suppose that individual 2's threat point increases. As a result: (a) s2 increase, both s₁ and s3 decrease, but s3 decreases more than $₁ (b) s2 increase, both s₁ and s3 decrease, but s₁ decreases more than 83 S1 (c) s2 and s₁ increase, but s3 decreases (d) s2 and s3 increase, but s₁ decreases
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