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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
tial-equilibrium search. Consider a worker searching for a job. Wages, w, have a probability density function across jobs, f(w), that is known to the worker; let F (w) be the associated cumulative distribution function. Each time the worker samples a job from this distribution, he or she incurs a cost of C, where 0 < c="">< e="" [w].="" when="" the="" worker="" samples="" a="" job,="" he="" or="" she="" can="" either="" accept="" it="" (in="" which="" case="" the="" process="" ends)="" or="" sample="" another="" job.="" the="" worker="" maximizes="" the="" expected="" value="" of="" w="" −="" nc,="" where="" w="" is="" the="" wage="" paid="" in="" the="" job="" the="" worker="" eventually="" accepts="" and="" n="" is="" the="" number="" of="" jobs="" the="" worker="" ends="" up="">
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Let V denote the expected value of w − n C of a worker who has just rejected a job, where n is the number of jobs the worker will sample from that point on.
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(a) Explain why the worker accepts a job offering ˆw if ˆw > V, and rejects it if ˆw < v.="" (a="" search="" problem="" where="" the="" worker="" accepts="" a="" job="" if="" and="" only="" if="" it="" pays="" above="" some="" cutoff="" level="" is="" said="" to="" exhibit="" the="" reservation-wage="">
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(b) Explain why V satisfies ![]()
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(c) Show that an increase in C reduces V.
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(d) In this model, does a searcher ever want to accept a job that he or she has previously rejected?
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