The Nash bargaining solution between the employer and the worker satisfies the fol- lowing maximization problem: max[W (w) – U]°[J(w) – V]!-8, w where rW (w) = w+ s(U – W) and r.J(w) = y – w + s(V – J). Show that the outcome of this maximization problem is a surplus-sharing rule of the form: W (w) – U = B[W (w) – U + J(w) – V].

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter16: The Markets For Labor, Capital, And Land
Section: Chapter Questions
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1. The Nash bargaining solution between the employer and the worker satisfies the fol-
lowing maximization problem:
max[W (w) – U]°[J(w) – V]1-8,
where rW (w) = w+ s(U – W) and r.J(w) = y – w + s(V – J).
Show that the outcome of this maximization problem is a surplus-sharing rule of the
form:
W (w) – U = B[W (w) – U + J(w) – V].
Transcribed Image Text:1. The Nash bargaining solution between the employer and the worker satisfies the fol- lowing maximization problem: max[W (w) – U]°[J(w) – V]1-8, where rW (w) = w+ s(U – W) and r.J(w) = y – w + s(V – J). Show that the outcome of this maximization problem is a surplus-sharing rule of the form: W (w) – U = B[W (w) – U + J(w) – V].
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