(c): In two-sided model, when a worker and firm are matched, what determines the wage paid to the worker?

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[economics] Two-sided model of unemployment question :)

Unemployment Two-sided model:
(c): In two-sided model, when a worker and firm are matched, what determines the wage paid to
the worker?
Reference notes:
Tow-sideed search model of Unemployment:
• Let Q be interpreted as labor force, and MQ as those working age people not in the labor force.
• Let P (Q) define a supply curve for workers who choose to search for market work. Thus, P. (Q) represents the expected payoff
to searching for market work that would induce Q consumers to search.
expected ↑
payoff
bt elej-b
Q
Q
•If the expected payoff from searching is higher this induces more consumers to forego home production to search for market work.
*Let A denote the number of active firms, which is the number that choose to post vacancies.
• Letk denotes the cost of firms for recruiting workers.
Equilibrium
•The worker will receive a surplus of w- b. the firm's surplus is z- un which is the profit the farm makes. Then, if we add the
worker's surplus and the firm's surplus, we obtain total surplus, which is z - b.
a represents the bargaining power of the worker..
w-b= a(z-b) ⇒w= a(z-b) +b
a
1-a
W
worker surplus firm surplus.
• P₁a) = 6 + ex(1. j)a(z-b).
k
• em ( + 1) = (1-A) (2-6)
• Unemployment rate : 4 = 2(1-2)
AL1-902
• Jacconcy rate : v=1
= 1- em(1.3)
Pias
9 = (1-4)2-1
= 1- em
-em ( F.1).
Q
Pia) = 6 + em(1. j)a(z-b)
_eal f.11.
Transcribed Image Text:Unemployment Two-sided model: (c): In two-sided model, when a worker and firm are matched, what determines the wage paid to the worker? Reference notes: Tow-sideed search model of Unemployment: • Let Q be interpreted as labor force, and MQ as those working age people not in the labor force. • Let P (Q) define a supply curve for workers who choose to search for market work. Thus, P. (Q) represents the expected payoff to searching for market work that would induce Q consumers to search. expected ↑ payoff bt elej-b Q Q •If the expected payoff from searching is higher this induces more consumers to forego home production to search for market work. *Let A denote the number of active firms, which is the number that choose to post vacancies. • Letk denotes the cost of firms for recruiting workers. Equilibrium •The worker will receive a surplus of w- b. the firm's surplus is z- un which is the profit the farm makes. Then, if we add the worker's surplus and the firm's surplus, we obtain total surplus, which is z - b. a represents the bargaining power of the worker.. w-b= a(z-b) ⇒w= a(z-b) +b a 1-a W worker surplus firm surplus. • P₁a) = 6 + ex(1. j)a(z-b). k • em ( + 1) = (1-A) (2-6) • Unemployment rate : 4 = 2(1-2) AL1-902 • Jacconcy rate : v=1 = 1- em(1.3) Pias 9 = (1-4)2-1 = 1- em -em ( F.1). Q Pia) = 6 + em(1. j)a(z-b) _eal f.11.
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