第三章经济增长理论及其基准模型

1、ixixix),(21nxxxfy ),.,(21nxxxfy 1),(),(2121nnxxxfxxxf ),(),(2121nnxxxfxxxf ),(),(2121nnxxxfxxxf 1),(),(2121nnxxxfxxxf ),(),(2121nnxxxfxxxf ),(),(2121nnxxxfxxxf 1),(),(2121nnxxxfxxxf sSsYS LLnuLvKY,min0uuL0vYKv YKvuLvKuLvKuLvKLuvuLvKKvuIK SK SK SK YYSYKYKvsYS YsYvYYGvsGrvrfWvsGrfWvsGwGfsrvrfvs /rvrvr

2、fvs /fsfsrvfsrfMAvsGGAGfsrvanGGNANGaAGwGNGfsrvfsrvaanvsrfYYYYIIIK IYKYIYYYIYYMULTMULTIYMPSMPCMULT111IMPSY1MPSIIMPSIIIYYYMPSSIIMPSYYMPSG)(tK)(tL),(),()(ttLtKFtY)(tY)(tC)(tI)(tK)(s0)(ss0)(ss0KtLKFsKIK),(K10 s0/ nLLntetL)()(F),(LKFY 0K0L)(F0KF022KF0LF022LF)(F),(),(LKFLKF00)(F00)lim()lim(LLKKFF0)lim()li

3、m(LLKKFF)()1 ,/(),(kfLLKFLLKFYLKk/LYy/)(kf)1 ,(kF)(kfy 1LKYky 0)(1kkf0) 1()(2 kkf0)(limkfk)(lim0kfkkky KsYKIKknkfsk)()(LLn/LKk/)(n( )f k( )s f k( )s f k( )0fk( )0fk( )s f k()nkn(0)0k( )s f k( )f k( )s f k( )s f k()nk( )s f k()nk*kc总投资k(0)k*kf(k)sf(k)(0)0k*kk( )()s f knk0k *k*kk*kkknkfsk)()(knkfsk)()

4、(0k ( )s f k()nk*k*()()s f knk*()yf k*(1)( )csf k s( )s f k( )sf k*k( )()sf knk*kk*sf(k)ksf(k)k*k*sf(k)k*k()nk()nk()nkn()nk()nk*k( ) ()s f knk*kgoldc0*k)(*sk0/ )(*dssdk)()1 (*skfsc*c)()()()(*sknskfsc*cgolds*c0/)()(*dsdknkf0/)()(*dsdknkf*c0/*dsdkgoldk*c*kgoldk()goldfkxngoldgoldgoldknkfc)()(goldsc*cgo

5、ldssgold1sgolds2s21sssgold*1kgoldk*2k*1cgoldc*2c( )f k( )s f k( )s f k()nk()nk*k*cgoldkk*( )f k()nkgoldkk *( )s f k()nkgoldss *k2sgoldss2goldkk*2goldcc*2goldsgoldcgoldcc*2*2cgoldss 1sgoldss 1goldkk*1goldcc*1k1*kgoldcgold斜率(n+）c2*c的初始增加f(k)sgoldf(k)s2f(k)s1f(k)kk2*动态无效率区域)(tA)(,tALKFY)(tA)()(tAtAKtAL

6、KFsK)(,kntAkFsk)()(,)(tA)()(,nktAkFsgk)(tAktAkF/)(,kFs/ )(nk*sf(k)/kkxn*kgktAkF/)(,/ )(, 1 ktAF*kg/ )(, 1 )(,ktAFktAkFyysc)1 (1)( ALKYAA /KYsKK/1AkyAAkkyy/)1 (/xgkygg),(ALKFY )(kfy 0)( kf0)( kf 0)(limkkf0)(limkkf1)(ALKYky 10KKICYSKCYKknckfk)()()(tcdteHLtcAueUnttt00)(0L)(ucAukfcAuucctttt ttcAuu )(kf

7、rucAurcAuucctttt )( kfzs )()()()(tkftytctz)(tz)(tc)(tk)(ty)(tz)(tc)(tk)(tytwtLtttnLLnL)1 ()1 (01tc112 tcts1trtttwsc1tttsrc)1 (112)(11)(121tttcucuU00)(u0)( u11111111211tttccU01/tttws1)1 ()1 (1 / )1 (1/11ttrtstw1tr11tttwwss1/11111)1(tttttrsrrss10wsrs10rs10rs10rs)(ttkfy tttLYy/tttLKk/tL)()(ttttkfkkfw)(ttkfr)(ttkfr1211ttttttttttLcLcKrLwKK1tLttttttKCLKFKK),(1121tttttLcLcCttLc112ttLct