Technological progress, organizational change and the size of the Human Resources Department

(aAd∖^ξ^-^α^μE⅛. β (¹ -^δ)
'•■ к 1+ β - 2β

1 —a

¹^-^βδ . _l∖ ^s^—^a.

1 + β - 2βδ }

aη

a (ξ + n + θ) — ξ

1 — a —θ

∖ ^ξa Z an ∖
^a k^a (^ξ⁺ n ⁺^θ) ^-^ξ)

α-ξ

( aAd A^!^—^α _e (—-a-а, _l i——s μ^β^ι'¹^-^δ∏¹^{- βδ}) ∖ '^akey к (1+β - 2βδ)'2 J

1—a—θ n 1 —a —θ

• (a (ξ + θ) - ξ) «^—^a (an)^a^—^ξ (a (ξ + n + θ) - ξ) ^a^—^ξ

From (24) we then have:

(1 - a) A (hTL)^-^α (1 - ρ)¹^-^α n^α

^w = ⁽¹^{- a}⁾^A (^{e 1b} • 1 + β - 2βδ • 1 +¹ β -^β2βδ • ^l∖ (¹^- a (ξ + ^a_η + θ) -ξ∖

aaAd∖ ^a

AT J

a(1 —a) а (1 — а )

E ^(1—s)(i^—a) L è^—^α

a(1 —a)

^μ^β⁽¹^{- S}⁾⁽¹^{- βδ}) ∖ ^a

к (1+ β - 2βδ)² )

a(1 — а— θ) an a(1 -a-θ-η)

• (a (ξ + θ) - ξ) ^a (an)^aξ (a (ξ + n + θ) - ξ) ^aξ

w = (1 - a)

aad∖ ^aШ

, ξ a(1 — ξ) a(1 — ξ)

A^ξ^—^a E⁽¹^—^δ×^ξ^—^a) L ^ξ^—^a

^μ β (1 - S) (1 - βδ) ∖ ⅛⅛²к (1 + β - 2βδ)² )

ξ — a(ξ + θ) an a(ξ + n + θ) — ξ

• (a (ξ + θ) - ξ) ^ξ^—^a (an)^a^—^ξ (a (ξ + n + θ) - ξ) ^ξ^—^a

From (30) we have:

⇒

A (hTL)¹^-^α (1 - ρ)¹^-^α n^α

β (1 - S)

n^ξ (1 - ρ)) ρⁿ

aaAd∖ ^ξ-^a

’к O

a(1 — a) a (1 — a )

E ⁽¹^—^δ×^ξ^—^a) L ξ — a

1 - βδ • _l ∖ ^α^μ _ an \ '

⁺^{β -}²^βδ J y ^a (^ξ⁺ n + e⁾^- ξj

a(1 a)

^μβ (1 - S) (1 - βS) \ —

к (1 + β - 2βδ)² )

a(1 a θ) an a(1 a θ n)

• (a (ξ + θ) - ξ) ^ξ^—^a (an) ~^ξ (a (ξ + n + θ) - ξ) ~^ξ +

ξ ξ(1 — a)

1 aaAdλ ^ξ^—^a E(₁ ξ δ¹)(^a ) )l^ξξ¹—a) ββ (1 - S) (1 - βδ)k ^ξ^—^a^d ∖ ^ξ / \ ^{(1 +}^{β -}²^βδ^ )

ξ(1 — a — θ) ξn ξ(1 — a — θ — n)

• (a (ξ + θ) - ξ) ^ξ^—^a (an)^a^—^ξ (a (ξ + n + θ) - ξ) ^a^—^ξ

• μ₁__^an ∖^θ μ ^an \ⁿ

к ^a⁽^e⁺ n ⁺^-^ξ) k^a⁽^e⁺ n ⁺⁰⁾^-^ξ√

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Technological progress, organizational change and the size of the Human Resources Department

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