Workers are mobile between cities. The utility function depends on the wage is u(w) = w¹/2 In isolated firms, the wage is $144, but the cost of switching is $44. Expected Utility 12 11 ✓ 10 180 $100 $121 $144 s= switch cost $44 w=$144 r is the probability of keeping the job Expected utility is: E(U)= (r) x u(w) + (1-r) x u(w-s) For that reason, the worker has a -gamble- between earning $144 if he keeps his/her/their job or earning (144-44) $100 if they lose their job. However, in the cluster, the cost of switching is zero. Therefore, the cluster firm can offer $121 instead of $144. Suppose the switching cost for the isolated site increases to $80. What new wage can the cluster firm offer on this new equilibrium? $

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Workers are mobile between cities.
The utility function depends on the wage is u(w) = w
=W1/2
In isolated firms, the wage is $144, but the cost of switching is $44.
12 11
180
10
Expected Utility
s= switch cost
$44
w=$144
r is the probability of keeping the
job
Expected utility is:
E(U)= (r) x u(w) + (1-r) × u(w-s)
$100 $121 $144
For that reason, the worker has a -gamble- between earning $144 if he keeps his/her/their job or earning (144-44) $100
if they lose their job.
However, in the cluster, the cost of switching is zero. Therefore, the cluster firm can offer $121 instead of $144.
Suppose the switching cost for the isolated site increases to $80.
What new wage can the cluster firm offer on this new equilibrium?
$
Transcribed Image Text:Workers are mobile between cities. The utility function depends on the wage is u(w) = w =W1/2 In isolated firms, the wage is $144, but the cost of switching is $44. 12 11 180 10 Expected Utility s= switch cost $44 w=$144 r is the probability of keeping the job Expected utility is: E(U)= (r) x u(w) + (1-r) × u(w-s) $100 $121 $144 For that reason, the worker has a -gamble- between earning $144 if he keeps his/her/their job or earning (144-44) $100 if they lose their job. However, in the cluster, the cost of switching is zero. Therefore, the cluster firm can offer $121 instead of $144. Suppose the switching cost for the isolated site increases to $80. What new wage can the cluster firm offer on this new equilibrium? $
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