ͫ 7N3sc%@ ?ђXIZ:\ps4\global.prgMainWorkSpacec:\gauss9.0\startupZ:\ps4\regulate.prgc:\gauss9.0\src\pgraph.srcc:\gauss9.0\src\pgraph.extZ:\ps4\AUTAROUT.gZ:\ps4\WORLDO22.gc:\gauss9.0\src\wait.srcc:\gauss9.0\src\pxy.srcc:\gauss9.0\src\pgraph.decc:\gauss9.0\src\peps.srcc:\gauss9.0\src\peps.extc:\gauss9.0\src\pcart.srcc:\gauss9.0\src\paxnum.srcc:\gauss9.0\src\peps.decc:\gauss9.0\src\pwindow.srcc:\gauss9.0\src\datatran.srcc:\gauss9.0\src\base10.srcZ:\ps4\global.prgZ:\ps4\WORLDP22.g_cmnfilt)_decreas-_fontsiz*_linfilt*_pagedim_pageshf _pagesizH_pappend_parrow_parrow3(_pascxP_pascyx_paxes_paxht_paxmarx_paxnum*_pbartyp%_pbarwid$_pbox_pbox3d%_pboxctl0%_pboxlimX%_pcartx)_pcarty)_pcartz(-_pcmdlin`"_pcolor_pcrop@_pcrossh_pcsel_pcvfile"_pcwin_pdate"_perrbar_pfeq@._pfirstw _pfonts0_pframeX_pgrid_phard"_pinbegwindP_plctrl_plegctl _plegstrp_plev8'_pline_pline3d%_plotshf_plotsiz_plselp_pltypeH_plwidth_pmargin_pmcolor_pmjrh$_pmnr@$_pmsgctl_pmsgstr#_pmtic$_pncwin_pnotify8_pnum`_pnumht_popt._poptic$_pqg_eps_BoundingBox*_pqg_eps_Rotatep+_pqg_eps_Scale +_pqg_eps_TranslateH+_pqg_ps_MinLineWidth8,_pqg_ps_Monochrome,_pqg_ps_Orientation,_pqg_ps_RGBColors,_pqg_ps_Rotate+_pqg_ps_Scale+_pqg_ps_Translate+_pqg_ps_WhiteBecomes`,_pqg_ver_pqgedit$_pqgplay_pqgtype_prngerrP-_protate_prtfile(#_pscreen(_psilentx_pssel_pstype_psurf%_psym_psym3d%_psymsiz_ptek_pticoutp&_ptitleP#_ptitlht@_pview &_pvolumeH&_pvwr!_pvwrcomm8"_pvwrflags!_pvwrfmt"_pvwrmode!_pwindmx0 _pwindnoX _pworldh_pwrscal*_pxfmtx#_pxlabel#_pxmem _pxpmax_pxscale_pxsci _pyfmt#_pylabel#_pypmax_pyscale _pysci _pzclrH!_pzfmt'_pzlabel&_pzoomp!_pzpmax&_pzscale&_pzsci !_range-_setpage0*_txtfiltX*AdnwAdsw`AdwALPHAAn Anw As8 asclabel`'Asw AUTAROUT Awax0axmargin(base10h.begwind.BETABnBs@bxXcode/condes`dummyH0dummybr/dummydn 0EdaEnaxendwind.EnmEsaEsmfonts'GAMgetwindx-gngraphinit'graphprt(graphset(grnagrnangrnwgrnwn8grsagrsan`grswpgrswngsIn( INFinfnewInw0 INWFinwfnewirnsIRS_jumppIsP IswX ItotHItotax knaKnaw KnbarKnbar_aknmKnmwH Krna KrnwXKrsa Krswksa Ksawp KsbarKsbar_a@ksm Ksmw LnapLnawLnbarhLnmLnmwloadwind/loopixLsa LsawLsbarLsm Lsmw0Ltot makewind/marginx(Mdnw8Mdswmissex-MnHMnw Ms` Msw nextwindX/PlagPn pqgwinh)Ps@ Pw recodep0rerun(rnwrsw Saven(Saven_ah SavesPSaves_a savewind/setvwrmode@)setwind0/snsssubstute0tTHETAtitletkf2eps,tkf2ps)tkf2ps_margin-tn tsHUna UnwhUsa UswVGRA@VGRAnVGRWhVGRWnVIAVIAnview'viewxyz(VINAVINAnhVINWVINWnVISAVISAnVISW@VISWnVIWVIWnVKR(VKRAVKRNAVKRNWVKRSAVKRSWVMLNWVMLSW0VMLWvolume((VPVPAVPNAvpnew0VPSA8VPW`VTVTGXVUxVUAPVUNAxVUNW(VUSAVUSWPVWNWXVWSWVWWwaitPwindow.wnwWORLDO22 WORLDP22 wswxlabelxy8ylabelzlabelP(si  h @R:ʸ `B j2R ZbB"   ~R#:rr"JjzjZbzBj%r%%%rzb%z%%%%% J Z j b R b   :  r  R% Z% % %Rzr"B  %%% %b689Rfbh$$"ҥ2 +yT 7@hZp+}T x\\0& 2 d(y nl"JZB" rj2 z 0 \`j hH2{L:`% e$ " WBbE5dJ(ev(#’ |*ʌL*2uPbISHjZ@ M~lړ (M    F-Welcome to problem 1. Your first time through this problem you will be shown some long term results which describe the model North-South economy assuming there are no external scale economies in either sector. These results replicate the results of question 4 of Problem Set 1. You will then have a chance to examine the same economy under the external scale economies assumption described on question sheet. You may loop through the alternative specifications as many times as you wish. Are you ready to proceed? <>   PM   xx }@Z ?!("(&'@(h+,?-?0?30@4X8?9?:{Gz?;{Gz?< =H?pnAxC hWe will first (re) examine the case where there are no external scale economies. So, ..., here we go:   F4FH?IK iPlease be patient for a moment while the computer simulates a few years of North-South Economic History   OP8Q`RST(PUxVW@XhYZ0[X\^``#Fh,e Hp 0XhMeqg8 `      0X@Mgqk(  lxlP 8 lxnx ( P ko hkq  ljhxlHljhxjr 8 ljxl` ljxju ( jHxv@ P j` xyh ( jz P j|h  Hkj} 8 ` kjjp}pjjkjpljkh k`pjjkh k  jp}@  j  jk  jpljk k`@  j  jk k jx   j@x 0 X      H p   h0X H Mq  ll jkx0   jkj8  k jljx0   j jlj`llHjkxX H jkj HkHjljxX  Hj jlj  k`kl(0   j8 ljkjPX  Hj ljkj( 8jkjP` jkj(8kjP`kjx l 8l `l lx jk@ jkhljhxl8ljhxj`ljxlljxjhH jl H lxhl jlp  lx0lXH jx 0jxl jxl jx j jx  jp jxH0 X kH 8jk`k jkH   jk k  jk hk(   HjkP 8  ` jkx ( P k jH jkjk(kp j 0jkjkPkH jp} jH jkH jpljk(k` jH jk(k 0jp}p j 0jk 0jpljkPk`p j 0jkPkhhkjkj5  PERIOD:      EQUILIBRIUM RESULTS      1 AUTARCHY TRADE     SUPPLY:     K-L RATIO:     AG.   p      MAN.  H       LABOR ALLOCATION:     AG. p      MAN.  0     WAGE RATE:      RENTAL RATE:      OUTPUT:      AG.  8        MAN. H`          DEMAND:     QUANTITIES:      AG. l jl8 j`     MAN. lHjl` j8       REL. PRICE: @        INCOME:( P 0 X       UTILITY:  h        TRADE EQUIL.:      NET EXPORTS       AG. x     MAN.        TRADE BAL.: @     SAVINGS: h  (P   5 88@ `` X  xx  ((hPP( 0 "0 hx#@@X x$( hx%P x&0 hxH xx'X xH xx*hh( hxH xx+P xH xx- hx.00 x/XX03}4ppX x@l@x50 hxlx6P xlx7( hxlx8X xH xxlx9880 hxH xxlx<``P xH xxlx=( hxH xxhlhx>>?p|p@|A|`B8|8CEkGHxK8L`MN(OPxPx(PQR@ShTU@VhpW8X`Y0ZX\i]i0 vpnew`0^i_(((i`PPPiaxxxibicidieif@@@ighhhihiiijikilimXini INFnew`oi INWFnew`p ' Ahh, history has come to an end ...    rr We will first look at the long term trends in growth rates and income levels for both regions under both free trade and autarchy.   vxw Don't forget you are now examining the model under the assumption that there are NO external scale economies in the production of computers   zz{ Don't forget you are now examining the model under the assumption that there are external scale economies in the production of computers   } ;Are you ready to proceed? <>   PM   t?@@@t@? t@@@@Ht@?@@p  N-Aut S-Aut N-FT S-FT  TimeM    Growth Rate, %M Income/Capita Growth RateM     tek1.tkf8Xd@hjM    pTake a look at this graph (print it if you wish) and then press any key to move on (this graph will disappear)   PM   t@? Ht@?@@p  N-Aut S-Aut N-FT S-FT  TimeM    Y/NM    Income/CapitaM     tek2.tkf8M    pTake a look at this graph (print it if you wish) and then press any key to move on (this graph will disappear)   PM   t@? Ht@?@@p  N-Aut S-Aut N-FT S-FT  TimeM    % Capital in Computer SectorM    &Percent of Capital in Computer SectorM     tek3.tkf8d(jM    pTake a look at this graph (print it if you wish) and then press any key to move on (this graph will disappear)   PM    Now lets look at consumer welfare as measured by the utility associated with the consumption of the goods which would be purchased with an average or (per-capita) share of income.   x Don't forget you are now examining the model under the assumption that there are NO external scale economies in the production of computers    Don't forget you are now examining the model under the assumption that there are external scale economies in the production of computers    ;Are you ready to proceed? <>   PM   t@? Ht@?@@p  N-Aut S-Aut N-FT S-FT  TimeM    UtilM    UtilityM     tek4.tkf8PxM    pTake a look at this graph (print it if you wish) and then press any key to move on (this graph will disappear)   PM    " Finally, since those numbers and differences are hard to see, lets look at the percent difference in consumer welfare in the free trade versus autarchy case. Note that differences above zero indicate higher welfare (for the corresponding period) under free trade    ;Are you ready to proceed? <>   PM    t@?  t@@@@ Ht@?@@ p  North South  TimeM    #Percent Change in Consumer UtilityM    ,Trade Regime and Change in Consumer WelfareM     tek6.tkf8dxPljxodxPljxoM    pTake a look at this graph (print it if you wish) and then press any key to move on (this graph will disappear)   PM   * QWould you like to examine the increasing returns to scale case (y=yes; n=no) ?;  ,`V   .    / N`m n`m0x13xxk5x} 799 Bye   <Q    !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHJKLMNPQRSTUVWXYZ[\]_`abefijmnopqrstuvwz%:]y%@Pdx9v    !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHJKLMNPQRSTUVWXYZ[\]_`abefijmnopqrstuvwz "   " `by    !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHJKLMNPQRSTUVWXYZ[\]_`abefijmnopqrstuvwz !#6Iatbp    !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHJKLMNPQRSTUVWXYZ[\]_`abefijmnopqrstuvwz a !"    !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHJKLMNPQRSTUVWXYZ[\]_`abefijmnopqrstuvwz!Lv-g"F!   f' "}  &'()*+,/;<=>?[]^`{|}~y`, 0Error - Illegal character found in string _ptek-.24 i},5  67 8 }\9 t@@:;; X<  => p p @X<AB0BCXDGiHHIDIJ/KN`i`HO```PDPQ`/RUiV\WtXHXYZ[D[\/]_N`Nframepaxespnumgpcpath H l|{00NNdatansmresx T abc0yPd _FONTS must be column vectorefg0ih itSIMPLEXSIMGRMAMICROBCOMPLEXjtЬ@@@4@k0UlLm Invalid font name specifiednoplNqNfntnamsfntsizefontnummemind  Lz }L LINE matrix invalidPi@|iL0 yd *Wrong number of columns in _parrow matrix{iL(z}H  PSYM invalidli@|(NNplinelinenumarrowarrownumpsympsymnum"@l@? D  l.M q !"`#N$%'k({)*+ +k.}//lz0?j1?j2?j3k456 6z77~8 j9 j: j;l<,=l>@ @ CDD k{EkF  %*.*leryG V瞯P?@ 4AxyB0BCxDENxlyls   lljljlljkx   j  lj ljj lljjkx  x j  lj x  x jl j jj jj   NNALPHABETATHETAaxbxGAMLbarKbarVLABVKAPLaLmKaKmAM  llQk@llNlrtb  !"$%h& -ERROR: Not implemented for complex matrices.'(4()*+-`./0N123 m4N5Nnummantn !"0 #X $H% &'( " )* ,P}- 6Warning: possible nested call to begwind encountered..  / 1 This could be a nested call to begwind or the0 < previous run was terminated between begwind and endwind.1  2 9 To eliminate this warning for programs that regularly3 / terminate between begwind and endwind, use:4  5  graphinit;6  7 7 before the first call to begwind at the top of your8 7 program in place of graphset. Use graphset as usual9  in other places.:  ;=P>N hghj~\k +ERROR: E vector has too many ones for CODElmop?jkqrjiljkNxxyjiljkNz{Nev nv `h -ERROR: Not implemented for complex matrices.4h -ERROR: Not implemented for complex matrices.4_h 8ERROR: NO ROWS REMAIN AFTER DELETING ROWS WITH MISSINGSi}\ )ERROR: X cannot have more than 1 column.ELEik|k}lkNNx vnkdim h -ERROR: Not implemented for complex matrices.4h -ERROR: Not implemented for complex matrices.4_h 8ERROR: NO ROWS REMAIN AFTER DELETING ROWS WITH MISSINGSi}\ )ERROR: X cannot have more than 1 column.i|}lkNNx vnkdim  "#%&h' -ERROR: Not implemented for complex matrices.()4)*+,-.h/ -ERROR: Not implemented for complex matrices.014123456h7 -ERROR: Not implemented for complex matrices. WI8949:;<=>_h? 8ERROR: NO ROWS REMAIN AFTER DELETING ROWS WITH MISSINGS@ABiCD}\E )ERROR: X cannot have more than 1 column.FGHiIJzk}lK :ERROR: The third argument (P) of DUMMYDN is out of range.LMNk|OPkQRR}SlTkUV k)W  X   i) ++Y +ZN[Nx vpnkdimindxe LN(TO(MO   PRPS0 TX UVHW X YZ[N ]^ ,_y`am@b simplexcdei}@f Too many fontsghi0jNstr HX NN (M   PN d `"  Nstr yz{(|P}x~$?%t@@%0%t?$@?X%@t?????ht$@&@(@*@,@"@.@0tsimplexX p 8'%tH  " pt@?@@@@H # 8` (# t?@@@@@@ @"@$@&@(@*@,@% @%t@&p&@h   &p!t@@ `"   graphic.tkf P# H& &t?@ x#  #  #  #  '  & !   !H! N -./00 10 (234N5Nnameerrval }4}40 }l0 0 `0 Nxsizeysizexshftyshfttyp tNlrtb kLmNNxey x-M0/kM   Nwindno vxfy Viewer mode = @) My   zN{}@)M}~Narg FGH 4IJLMhN -ERROR: Not implemented for complex matrices.OP4PQRSTUhV -ERROR: Not implemented for complex matrices.WX4XYZ[\]h^ -ERROR: Not implemented for complex matrices._`4`abcef?jkghimjkNjXjkmjkNlmNxev nxv  8" yesm ! vwr.exem vwr.exe `"   !*   | "  postscriptm /tmp  .ps)MP Error in PostScript conversionL ! m0P !  .@ ! smt !$q< !Hz<  Viewer executable ! 6 not found, GAUSS directory should be in system path. p T  !  is not an executable file.    Insufficient memory to run !  is not an executable file.Tl  Viewer command line too long: ' '  Exec error  %*.*fr  for '@ !  @ '(@Nerettmpfncmdstrdeltmp 0 (`0 NNnameerrval 9:<f= ! sm0> oneN?? ! mm4@ many NA@AB Invalid mode settNCDFoG@) MGI onem8J ! sKK manym8L ! mM<M manualm8N ! sOO autom8P ! mQtQR Unrecognized mode STUWNXNargsmsgoldmode 0 zh 7Error. Procedure window must be called before setwind.X Nn lh -ERROR: Not implemented for complex matrices.4h -ERROR: Not implemented for complex matrices.4h -ERROR: Not implemented for complex matrices.4 4mmkJNNxev f~` /Title string too long. 180 characters allowed. P#Nstr  bce ,o  landscapemft^@@gthi`i ,o  portraitmjt@^@kt@lZmhmn*oH+pp+qs +,8,`,,fNvNtkffileepsfileboundingboxtranslaterotate p -M NNtkffilepsfile  yz| ,o  landscapem`} jlHjx/~!@Hj0 jlxxHjxkZ ,o  portraitmP jlHjx/!@Hj0 jlxxHjxh+++,8,`,,eNNtkffilepsfilemarginymarginptsscaletranslaterotate t &Nxyz t%& &'Nxyz h@AH&BNxyz h  N  vwy{(z{}{(~j{xx lx  9lj 9jll/M  or kNrowcoltypxsizeysizexshftyshftntmp    jxxllxl  jj kjjlx lxlxjj jllx l  jxxllxljj kjjlxlxlxjjjllxljj  jjjjj  jjjNNPwALPHA BETALnbarLsbarKnbarKsbaraxbxtntsGAMcn1cn2cn3cs1cs2cs3KnawKnmwLnawLnmwKsawKsmwLsawLsmwAnwMnwAswMsw dx {Gzt?H0  4  {Gzt?      H p  ]   Mq kj jk kj jklljkx jkjlljkx jkj  kk l$G%G0&'<'(x)**+G<,x-0-./024:0yE>GL5l6`77:0yE>DL8k9:0:;<?     H p  N@NPlagALPHABETATHETALnbarLsbarKnbarKsbaraxbxGAMsnsstntsWORLDO22PwstepedirInwIswAdnwAdswAwAdwEda PQfP~@R String too longSTU #VNstr >@"#(,.t??/)(*)M/q4i}i@5i)69iiyd: 4X and Y matrices must have the same number of rows.;<?yyyT@ "X and Y matrices not conformable.ABD yE!yFxHHJKLLi{`MfN O il|PHPQ |RSkT|UWWiL[ \ ]h]^ i_ `b+,)hMbqc-.)hMcqe/01234567*(+, Meq h89:;<=>?@*(-.  Mhq k2Dl 2jmn;Do ;jprPm\sPtuvv x#fzw %1.1 %*.*lfr lfx4xy x#oz|xm\}xx~ #fz %1.: %*.*lfr lf4 #o345<=>0*M   00H0p0Hi00 /l / / / /& /& X*Mq"  *MqmT6?`6?i0 yT Error bar matrix invalid4i"# *2;" Mq$'%*Mq   ! P# # #0$%h)#   @H " "2;( p8@p&*   (PT(M   Nx y symbolcolorqxformatyformatframemsgstrpsympsymnummsgnumnkscagcodelinenumarrownumarrowct1t2msxxlabylabgridflagerrbnumpstypepcolorpltypepsymsizplctrlxincyincplinepmsgctlfontnumfntsizeplwidthmempnumpaxesgpcpathminxmaxxminymaxyqxsigqxfieldqxprecqxpowqxorigqxstepqxmaxqxmintqxlabqysigqyfieldqyprecqypowqyorigqystepqymaxqymintqylab defP~@f String too longghi #jNstr xyfP~@z String too long{|} &~Nstr