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以綠色導向政策探討低經濟價值再生材料之回收供應鏈
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(iii) Evaluate the social welfare
Differentiate with respect to
ϕ
Differentiate with respect to
ε
The solution for the control of social welfare can be solved via the Schur complement
ξξ
–
ξσ σσ
-1
ξσ
, that is, a system of linear equations
can be rewritten as (
A
–
BD
–1
C
)
x
=
w
–
BD
–1
v
,
Dy
=
v
–
Cx
. Therefore
and
Similarly, apply the Schur complement again in reverse vector order,
We have
Proof of Proposition 2.
The derivations are straightforward.