The name is absent



vA(k + 2) + vb(к + 2) Z'Za = Z 1 δ)vB(к + 1) > 0. However, by (9)
vA(k + 2) + vb(к + 2) max(δk+2Za.Z" (k'2Zb). Moreover, by definition of
0,Z" i Za > Z" u" i'Zb, which, since к + 2 J0, implies that δk'2 iZa >
Z
" (k'2''1 Za, or δkZa > δm~(k+2)ZB. This in turn implies that vA(k + 2) +
vb (k + 2) max(δk+2Za.Z" (k'2 Zb) < δkZa.contradicting the claim that
vA(k + 2) + vb(k + 2) δkZa = Z 1 δ')vB(k + 1) > 0 Hence, vb(k + 1) = 0.
which immediately implies that vA(k) = δvA(k — 1) = δkZa.

This induction argument therefore shows for all k ≤ J0 1, vb(k) = 0
and for all k J0 2.vA(k) = δkZa . An immediate consequence is that

VA(J0 1) = δ[(vA(j0 2) + vB (j0 2)) vB (j0)] = δfδ7" 2ZA vB (j0)] (25)

This equation will be used in the continuation to derive values at J0 1 and
j0.

To address equilibrium behavior in states greater than or equal to J0.we
start in state
m. Note that since m is a terminal state vb (m) = Zb and
vA(m) = 0.If J0 = m — 1. then by definition δ^' iZa < δZB and δ^' 2Za >

δ2ZB. Moreover, by Claim 1 vb(m2) = 0 and by (25) vA(m2) = δ^' 2Za
δvB (m 1). Hence,

vA(m 1) = δvA(m) + δ max(0.vA(m 2)+ vb (m 2) vA(m) vb (m))

= 0 + δ max(0.J (m 2) Zb )

δmax(0. niaxZ”' 2ZaZ2Za) Zb)

0

where the final inequality follows from the fact that δ"' 2Za = δj" iZa <
δ
m-j"-1ZB = δm-(m-1-1ZB = Zb. Hence, VA(m 1) = 0. It follows that

vb (m1) = δvB (m2)+δ max(0.ZB vA(m2)vb (m2)) = δ(ZBvA(m2))

Hence,

vA(m 2) = Z" 2ZaδvB (m 1) and

vb (m 1) = δ(ZB VA(m 2))

Solving simultaneously implies

25



More intriguing information

1. Deletion of a mycobacterial gene encoding a reductase leads to an altered cell wall containing β-oxo-mycolic acid analogues, and the accumulation of long-chain ketones related to mycolic acids
2. The name is absent
3. The name is absent
4. Trade Openness and Volatility
5. Infrastructure Investment in Network Industries: The Role of Incentive Regulation and Regulatory Independence
6. On Evolution of God-Seeking Mind
7. The name is absent
8. The duration of fixed exchange rate regimes
9. The name is absent
10. Literary criticism as such can perhaps be called the art of rereading.