Macroeconomics Exam Review 68

Macroeconomics Exam Review 68 - 2.43 For every 2 ≥ 1 ∈...

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Unformatted text preview: 2.43 For every 2 ≥ 1 ∈ Θ, if 1 ∈ ( 1 ) and 2 ∈ ( 2 ), then 1 ∧ 2 ≤ 1 and therefore 1 ∧ 2 ∈ ( 1 ). If 1 ≥ 2 , then 1 ∨ 2 = 1 ≤ ( 1 ) ≤ ( 2 ) and therefore 1 ∨ 2 ∈ ( 2 ). On the other hand, if 1 ≤ 2 , then 1 ∨ 2 = 2 ∈ ( 2 ). 2.44 Assume is increasing, and let 1 , 2 ∈ with 2 ≿ 1 . Let 1 ∈ ( 1 ). Choose any ′ ∈ ( 2 ). Since is increasing, ( 2 ) ≿ ( 1 ) and therefore 2 = 1 ∨ ′ ∈ ( 2 ). 2 ≿ 1 as required. Similarly, for every 2 ∈ ( 2 ), there exists some ′ ∈ ( 2 ) such that 1 = ′ ∧ 2 ∈ ( 1 ) with 2 ≿ 1 ....
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This note was uploaded on 01/16/2012 for the course ECO 2024 taught by Professor Dr.dumond during the Fall '10 term at FSU.

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