Labor Economics
Labor Economics
7th Edition
ISBN: 9780078021886
Author: George J Borjas
Publisher: McGraw-Hill Education
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Chapter 2, Problem 6P

(a)

To determine

Graphical representation of Person S’s budget line.

(b)

To determine

Person S’s marginal rate of substitution when L=100.

(c)

To determine

Identify the reservation wage of Person S.

(d)

To determine

Identify Person S’s optimal amount of consumption and leisure.

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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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