The Impact of Optimal Tariffs and Taxes on Agglomeration



Appendix

Optimal taxes and tariffs without coop., eq.(12):

To derive the optimal tax and tariff rates the corresponding partial deriva-
tives of the real income
Yr = (1 + Lw)T-1(1 TA)1-γPγ must be set to
zero:

dYR_ (1 1 ∙.    P ( dw ΓdT (1 γ)τl

dTA =     T 1,⅛- ⅛ τ-. JJ=0'  (m)

=- = -(1 - γ),                          (122)

1A

d^__      (1 γ)Yγ (γ(1 L) (1 ΘΘ*) σP*1-σT*)

dTA =  (^P*1-σT* γ(1 L))(σP1-σT γL) γ2ΘΘ*(1 L)L) '

(12.3)

Substituting (12.3) and (12.2) in (12.1) and solving for the optimal agriclu-
tural tax
TOpt yields:

oCtpt _

TA=


Ti (1 L)Θ
(1 Ti )


7Θ*L(^ L)Θ      L

σ (σP*1-σT* γ(1 L))   σ


P σ-1


(12.4)


The partial derivatives with respect to T1 are given by:

dYR
dTι


(1 TA)1-y P
T


dw

LdT1


dT + γTP-
dTI


dPV
dτ√.


= 0,


(12.5)


dP _ Pσ(1 L)Θ
dT
=  (1 Ti )2

(12.6)


dw

i


γY Θ(1l)
P 1-σ (1Ti )2


[(1 — σ)(1 — γ )(1 ta) — γσ(1 ti )]
× (σP*1-σT* + γ(1 L) [ΘΘ* 1])
+σγP1-σ Θ*T (1 T1 )

' (σP*1-στ*γ(1 L))(σP1-σT γL) '
γ 2ΘΘ*(1 L)L


(12.7)


21




More intriguing information

1. Firm Closure, Financial Losses and the Consequences for an Entrepreneurial Restart
2. A model-free approach to delta hedging
3. The name is absent
4. Barriers and Limitations in the Development of Industrial Innovation in the Region
5. The name is absent
6. The technological mediation of mathematics and its learning
7. If our brains were simple, we would be too simple to understand them.
8. The name is absent
9. Inhimillinen pääoma ja palkat Suomessa: Paluu perusmalliin
10. 03-01 "Read My Lips: More New Tax Cuts - The Distributional Impacts of Repealing Dividend Taxation"