It is easy to see that the first best solution of the social planners program is
*⅛ = ɪ (ʌɪ + ʌ2) + T (ɪ - ⅜) Am - I-
Partnership
In this case, we suppose that only one of the employees is the owner (partner) of the
firm. When a good employee is the owner, then the value of the firm is Vs. 5 = 1,2.
Since in the economy there is an over supply of ordinary employees, a bad employee does
not produce value and the bargaining solution is given by:
Agent: partner E9 employee Em employee Eb customer Cx
share: V — urn υm — υb 0 vb
where, g = 1,2: m == 3.4: and b = 5,6.
If the owner is a middle employee, when ∕' > 1, then bargaining solution is the follow-
ing:10
Agent: employee E1
share: V1 — V2
in the case that the firm hires E1 :
Agent: employee E2
share: υ2
in the case that the firm hires E2.
If the owner is a bad employee, then bargaining solution is the following.
Agent: employee F1 employee Em partner Eb
share: V1 -V2 υrn — υb V2 — υm
in the case that the firm hires Ex : or
Agent: employee E2 employee Em partner Eb
partner Em
V2-υb
or
partner Em
V*2-υ2-υb
employee Eb
0
employee Eb
0
customer Ct
υb
customer C,
vb
customer Ci
υb
customer Сг
share: v2 — vb υτn — υb V2 + vb — υ2 — υm υb
in the case that the firm hires E2.
Hence, the partner and non-partner employees Ep and En choose their human capital
investments, kp and kn. to solve respectively:
≡∙×{⅞∑Kλ' lo≡(1 - M ÷ ⅛2 Σ Kyn 1°8(1 ÷ fcp)) - M (15)
0=l m=J
10VVe suppose that Vd - V’2 > vɪ.
'27