EBK FOUNDATIONS OF ECONOMICS
8th Edition
ISBN: 8220103632225
Author: PARKIN
Publisher: PEARSON
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Chapter 3, Problem 7SPPA
To determine
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Consider the simple discrete job search model that we studied in class. Only the
unemployed can receive one offer per period from F(w) that is a uniform distribution on
[0,2]. There is a constant probability of being laid off at the end of each period while
employed. Assume that she can get a new offer right away when laid off. We want to
understand the reservation wage, WR, in this model. Assume that u(c) = c. The
parameters are a discount factor ẞ and an unemployment benefit b.R and show that T is contraction on [0, ∞). Explicitly state
any additional assumptions that you may need.(Grading guide line: 5pt for the
exact form of T, 10pt for showing contraction, and 5pt for stating correct
assumptions.)<
(b) Discuss why (a) is useful to understand the reservation wage wд in this
economy.<
(c) We write WR = WR (b,ẞ,λ) to reveal its dependence on (b,ẞ,λ). Show that 0 ≤
aWR
дь
OWR
дл
≤1 and ≥0. What about ?
awR
ав
State any additional assumptions that you may need.<
(d) Briefly explain the…
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