Melitz-type Computable General Equilibrium Model

Transcription

1 Mlt-ty Coutabl Gnal Equlbu Modl Auut Nobuo Hoo Natonal Gaduat Inttut o Polcy Stud noo@.ac.. Modl Outln A Mlt-ty coutabl nal qulbu (CGE) odl dvlod on t ba o t tandad CGE odl by Hoo t al. (2) wt t atu o Mlt (23) odl: tonty oduct dntaton and lov o vaty ollown Dxon t al. (26) (u ). dotc outut Z n t -t cto o t -t on ad wt ay acto (catal and klld and unklld labo) and ntdat nut. ( dcton o t oducton oc ottd o lcty o u.) k-t vaty k d o t -t on to t -t on oducd wt vaabl nut ZZ k xd nut o ac vaty k and xd tu cot H t latt two o wc a aud n t dotc outut Z unt a Itakua and Oyaada (25) aud. Vat k a ud to oduc a vaty aat d to t -t Roon Mnato okyo Jaan. Pa

2 on wt a contant latcty o ubttuton (CES) uncton à la Dxt and Stlt (977). nbound n o vaou on (ncludn t dotc on) aatd nto Anton (969) coot ood Q. ud o ouold conuton ovnnt conuton nvtnt v and ntdat nut. ntatv ouold n ac on aud to av a Cobb- Doula ty utlty uncton. u : Modl Stuctu Anton ood = ot dotc ood xot vaty xd cot o vaty vaabl nut o vaty xd tu cot o dotc outut 2. Dtal o t Modl 2. Mlt Stuctu W au tat a vaty-oducn acn a onooltcally-cottv akt wt an nv dand uncton k ax ZZ k k k k ax t ot a ollow: Pa 2

3 ubct to k k ZZk k k k d k k d k k w k k ' : vaty/ ty k : wt ava oductvty k n : t lat oductv actv n t akt : ood/cto ' : on ZZ k : ot o t k-t vaty oducn locatd n t -t on n to t -t on ZZ k : nut o t k-t vaty n t -t cto n t -t on d to t -t on k : outut o t k-t vaty n t -t cto n t -t on d to t -t on Z : c o t dotc outut k : c o k : oducton tax at : xd cot o vaty oducton (o xot/dotc uly cot) k : nv dand uncton wt c latcty Pa 3

4 k : oductvty aat ollown a Pato dtbuton PD: k k k k n n : a aat o a Pato dtbuton (o Pato k) : oductvty aat ( ) In t ollown at w ocu on an ava wt and t lat oductv n t akt wt n. ava ot axaton obl : ax ZZ ubct to ZZ d d OC lad to: ZZ lat oductv and tu anal n t akt an no ot: Pa 4

5 n n : n 2.2 Kuan (Dxt-Stlt) Stuctu A tat aat vat k to ak a coot ood ac t ollown ot axaton obl. ax k k k ubct to w k k : ot o vaty aatn : c o vaty coot : vaty coot : latcty o ubttuton aon vat Not: wt and to ac vaty unty (=). W can wt t abov obl wt ava oductvty and a ollow: ax N ubct to N Pa 5

6 w N : t nub o actv n t -t cto locatd n t -t on OC lad to: n to t -t on N N 2.3 Anton Stuctu A uual w au Anton coot ood Q ad o n o vaou on. ot axaton obl o a oducn Anton coot ood : Q q q ax Q ROW ubct to w Q Q : Anton coot ood oduc ot Q : Anton coot ood : Anton coot ood c q : xot tax at od on n o t -t on to t -t on : nut qunt o ntnatonal tanotaton vc Pa 6

7 Pa 7 q : ntnatonal n vc c n t ROW cuncy : ot ta at od on n o t -t on to t -t on : xcan at convtn t -t on cuncy nto t -t on : latcty o ubttuton aon ot and dotc uly 2 Not tat t ntnatonal n vc c q aud n t ROW cuncy t. OC v: ROW q q Q Q 2.4 Monooly Pot and Nub o ava ot : o-ot condton o t lat oductv dtn t outut lvl n. 2 I t two-ta ntd CES tuctu dnatd nto a nl-nt CES tuctu ollown t onal ccaton by Mlt (23).

8 n n Induty-wd o-ot condton dtn t total nub o n t nduty NH. w N NH H NH : Nub o n t -t cto n t -t on H : xd tu cot o t -t cto n t -t on Makt-clan condton dcbd wt t dotc outut and vaabl and xd nut. Z k N ZZ k N NH S ZZ NH H S H w S dnot ntnatonal n vc (=RS) xot by t -t on. 2.5 Ot Convntonal Stuctu 3 -Houold conuton q -Govnnt conuton d S 3 S Hoo t al. (2) o dtal. Pa 8

9 Pa 9 -Dct tax (lu-u) q d S -Poducton tax Z -acto u tax -Iot ta ROW q -Exot tax -Invtnt v v -Houold avn (lu-u) ROW v q S S S -Govnnt avn d S -BOP contant q ROW ROW ROW S S w t cunt account S aud to b contant n t ROW cuncy t. -on xcan at abta condton

10 Pa -Coot acto oducton ( t Sta) b Y y Y b w dnot latcty o ubttuton aon ay acto wo valu a obtand o t GAP Databa (Htl (997)). -Dotc outut oducton (2 nd Sta) Z ax Z ay Y q y ax ay -Intnatonal n vc RS RS S Q ROW RS RS q RS RS Q S Q -Utlty and ocal wla (cttou obctv uncton o GAMS/CONOP-NLP) UU UU SW

11 Pa 3. Calbaton W nd a ca n calbaton o ncan tun to cal odl bcau o c dvat o unty n t ntal qulbu du to aku. ollown oula a ud to calbat aat and ntal valu o ndonou vaabl: 4 NH N n n N SAMDAA 5 N n 4 uct ndcat ybol o ntal valu o ndonou vaabl. 5 SAMDAA dnot a tad valu o t -t ood d o t -t on to t -t on codd n t GAP Databa.

12 Pa 2 n n v Q Q ZZ NH N H

13 Rnc Anton P. (969) A oy o Dand o Poduct Dtnud by Plac o Poducton IM Sta Pa 6() Dxt A. Stlt J. E. (977) Monooltc Cotton and Otu Poduct Vaty Acan Econoc Rvw 67(3) Dxon P. J M. R M. (26) Modn ad oy o CGE Modlln: Anton Kuan and Mlt Modl Jounal o Global Econoc Analy (). Htl. W. (d.) (997) Global ad Analy: Modln and Alcaton Cabd Unvty P. Itakua K. Oyaada K. (25) Exann ad Ron o Anton-Kuan-Mlt Encoan Modul n a CGE Modl GAP 25 Connc Pa. Mlt M. J. (23) Iact o ad on Inta-nduty Rallocaton and Aat Induty Poductvty Econotca 7(3): Pa 3