Federal Tax-Transfer Policy and Intergovernmental Pre-Commitment



The sign of |A1| and |A2| depends on the sign and magnitude of α and β and is thus ambiguous.

Using Eqs. (25) and (26) the slopes of the best-response functions (24) are:

∂si _ β ( tikii + ki ) + α

∂ti =            A         ’

∂sj      βtj kji - α

∂tf  = Й ’

∂τ         b00(gi)b00(gj)tjktji + b00(gi)b00(gj)(tiktii + ki)

∂)ti =                   Й

A.2 Proof of Proposition 3

Proposition 3 is proved by establishing two lemmata. Lemma 1 states conditions for td to be
greater, equal, or lower than
tN . Lemma 2 presents a refined condition pertaining to cases (i),
(
ii), and (v) listed in table 1.

Lemma 1: If siti 0 the capital tax rate under decentralized leadership exceeds the capital
tax rate under both-sided Nash behavior, i.e. t
d > tN . If siti < 0, the effect on the tax rate ti is

given by


-li τti


I b0(gi)⅛ I ≠- td


<

>


(27)


Proof: The optimal state behavior is characterized by Eq. (21). Thus, starting from the
Nash outcome
tN , as characterized by Eq. (9), state i’s incentive to deviate from tN depends on
the terms
Vgisiti and Vτiτti . By Eq. (5) Vτiτti = -liτti which following Eq. (18) is positive. Note,
Vgisiti = b0(gi)siti . If b0(gi)siti is non-negative (case (iii) and (iv)), state i can increase after-tax
labor income as well as local public good provision by setting
td > tN . To prove the second
assertion, consider the opposite case. If
siti < 0 and -liτti > (<) Ib0(gi)siti I, state i can improve
utility of the representative household by choosing
td > (<) tN . For the special case siti < 0 and
-liτti = I b0(gi)siti I the opposite effects nullify each other and td = tN. □

27



More intriguing information

1. The name is absent
2. Legal Minimum Wages and the Wages of Formal and Informal Sector Workers in Costa Rica
3. Campanile Orchestra
4. Midwest prospects and the new economy
5. SLA RESEARCH ON SELF-DIRECTION: THEORETICAL AND PRACTICAL ISSUES
6. The name is absent
7. Fiscal federalism and Fiscal Autonomy: Lessons for the UK from other Industrialised Countries
8. The changing face of Chicago: demographic trends in the 1990s
9. Death as a Fateful Moment? The Reflexive Individual and Scottish Funeral Practices
10. PROFITABILITY OF ALFALFA HAY STORAGE USING PROBABILITIES: AN EXTENSION APPROACH