CLASS NOTES - Econ 3029

LECTURE 1 Jan 12, 2018

Jan 1512018

Jan 22, 2018

JAN 12, 2018

'

b=b (g)+ ) birth and mortality ratesm= mly)

MODEL :-D=

P( g) ) Technologys

Dynamics of population :P•CH=blyH)Pa) - mlyctt ) Pt|y(H=yCPt)Head

, slated, the system :b ,def. P%)=o tt⇐K#=o

Dynamics : P°f¥n=b( get - m¢g¢DRCH

Note Discrete vs tontine .s time .×^ strainer

e-

Itttto ttezo Lezo t

Xt : Change in XE : X⇐s - Ye Duwktie

XCH chzsixct ) : hi Xtes - Xtso g-

=X' A-)lied =•xH )Fattspia

-mphP°Hg)

= fyjkftitiith ieate If . Population

Jan 15,2018 Convergence To THE STEADY STATE

b. m^ b

←•

#}p%, > °

*=D1 .i i yil (t.pt#a%) - - - - - - - -got:-..

y$ yw) y

Cy ) CONVERGENCE TO THE STEADY STATE

" ftp.:ifnot'÷=:

C.?

INCREASCINBLRTHMFED⇐ad9}¥s°

b

¥in{ ( m,¥gP I Ip$* I (. Itp* . . . - -j . . - .H÷,

p.gg€NCRw=3lrim

p.se#p* it:#

TECHNICAL CHANGE

a•b

then.

⇐gas ( yp D I ii ipare - --9*7e€tgo y

U NlFlEDGR=HtDL

AnutPnoBLen_ Max U=matzlogn| st . pn+@ < wbudget entrant rewrites

M= W - pn

=D Max µ = w - Pn + rlognFI du

go ⇐- Pt F=o

⇐ fn=±⇒

Jan 22,2018 FOOD MARKET

Dead nth .tlsrpphyE=Ai(FYdefine Or : lf÷ Dear = supply

ntLt-tffAD4ntLt-AtELArdxLpTantLF-AtE@iY.tHas.e

.hn#tHnT4Y'

FEI > nt=¥

Laporta ' WA, ,=wtf

mt¥=h÷⇐

notified

.hu#.EM/

⇐ p+=M+ and

@=ft×L+Ate an@afn¥yty%subsh#a are

and@

=tp⇒meta is a sotutun

Caraeteusakn of the balanced quart path "

gf . is austral ( b> def iitis a constant along a BGP )

gap = At' Hit is auntat

it mean > Are LFth

- AI, Ltd,

"

Ht÷txe÷T.f+GM + (Hey ) = 1 C )+ Abu

, a BGP : ntt's constant and 9- is aarstaut⇒ gu = got = gl = n - 1

then C) ⇒ Ctga )E×( ltgl )'h= 1

|HgA=(Kgi)¥-Rpeatfar (Hgn) ( see slides)

wefmdb ( Hg;D , =(HgY,)"

i. dinamics of populationobtain

"

growth '

ltgtteibalanced IYTHFS'tgrowth#

i¥if÷f#t.rs'

i 1 ii

',Ii )Hglo

Hgh,

tightKg4 .

It , high = 0024