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ID:40058905
大小:4.85 MB
页数:14页
时间:2019-07-18
《Dynamic Properties of the Optimal Growth Model》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、(3c)-P.1DynamicPropertiesoftheOptimalGrowthModelI.GraphicalAnalysisnJWefSfWfZW]WkV[XXWdW`f[S^WcgSf[a`e![`WXXWUf[hWg`[feXadUa`hW`[W`UW"31.=g^WdWcgSf[a`3c=1(r−n−g−β)=1(f('k)−δ−ρ−θg)cθθ2.2、!["Y[hW`k(0)>04![["λ(T)⋅k(T)→0.QFafW39`S^ke[edW^[Wea`^ka`fZWeWWcgSf[a`e(Ua`V[f[a`e–VWd[hWeSe[`Ja_Wdadi[fZabf[_S^Ua`fda^'Rn?dSbZ[US^ea^gf[a`i[fZSHZSeW<[SYdS_[`fZW!U%]"-ebSUW3*1.D[`WaXUa`efS`fUa`eg_bf[a`3NWdf[US^^[`WSff'(k)=3、ρ+δ+θg2.D[`WaXUa`efS`fUSb[fS^3KfWSVkefSfWdW^Sf[a`c(k)=f(k)−(n+g+δ)kD[`WYaWefZdagYZU!)"6)'0.n?dSbZe[`Ja_Wd3->[Y'+'*-+'.3KfWb-TkefWbVWd[hSf[a`'->[Y4、'+'/39bb^[USf[a`6KgVVW`XS^^[`fZWV[eUag`fdSfW!dSfWaXf[_WbdWXWdW`UW"(3c)-P.2ThePhaseDiagramES[`W^W_W`fe3*'D[`WeaXUa`efS`fUS`VUa`efS`f]'A`fWdeWUf[a`3KfWSVkefSfW='+'9ddaie[`V[USf[`Y_ahW_W`f3Ud[e[`YXad]5]#4UXS^^[`YXad]7]#4]d5、[e[`YTW^aiU!]"^[`W4]XS^^[`YSTahWfZWU!]"^[`W','da_ba[`fe^[]W9-B-;3LdSWUfadk^WSVefa]6)67HSfZ`afXWSe[T^W'->da_ba[`fe^[]W<3LdSWUfadk^WSVefa[`fa!]6]_Sj%U6)"';^S[_3N[a^SfWefWd_[`S6、^Ua`V[f[a`'n;a`U^gVW3Gbf[_S^U!)"_gefTWSfHa[`f>6G`fZWsaddlepath^WSV[`Yfaba[`f='(3c)-P.3OZkHa[`f<h[a^SfWefZWLdS`ehWdeS^[fk;a`V[f[a`3n;^S[_3LdSWUfad[We^WSV[`Yfa!]6]_Sj%U6)"h[a^SfWfZWfdS`ehWdeS^[fkUa`V[f[a`'nHdaaX3n;a`e[VWd7、c(k)=f(k)−(n+g+δ)k-HWS]aXU!]"[edWSUZWVSf67?a^VW`Jg^W^WhW^]?a^VW`-LdSWUfad[Wefa]_Sj_gefUdaee]?a^VW`[`Sfea_WX[`[fWVSfWL)'>adf7L)%d!f"5`$Y'n;a`e[VWd.-D[`WSdV[XXWdW`f[S^WcgSf[a`i[fZhSd[ST^WUaWXX[U[W`fe'-Ka^gf[a`3->[`V[`Y8、d!f"5`$YXadf7L)[_b^[Wen>[`V^aiWdTag`V3.n9VV[f[a`S^[`e[YZfe3-9^^fdSWUfad[WeW`V[`Yi[fZahWd-SUUg_g^Sf[a`h[a^SfWfZWfdS`ehWdeS^[fkUa`V[f[a`'-LZWbWS]aXU!]"[efafZWd[YZfaXHa[`f=3]#5]?
2、!["Y[hW`k(0)>04![["λ(T)⋅k(T)→0.QFafW39`S^ke[edW^[Wea`^ka`fZWeWWcgSf[a`e(Ua`V[f[a`e–VWd[hWeSe[`Ja_Wdadi[fZabf[_S^Ua`fda^'Rn?dSbZ[US^ea^gf[a`i[fZSHZSeW<[SYdS_[`fZW!U%]"-ebSUW3*1.D[`WaXUa`efS`fUa`eg_bf[a`3NWdf[US^^[`WSff'(k)=
3、ρ+δ+θg2.D[`WaXUa`efS`fUSb[fS^3KfWSVkefSfWdW^Sf[a`c(k)=f(k)−(n+g+δ)kD[`WYaWefZdagYZU!)"6)'0.n?dSbZe[`Ja_Wd3->[Y'+'*-+'.3KfWb-TkefWbVWd[hSf[a`'->[Y
4、'+'/39bb^[USf[a`6KgVVW`XS^^[`fZWV[eUag`fdSfW!dSfWaXf[_WbdWXWdW`UW"(3c)-P.2ThePhaseDiagramES[`W^W_W`fe3*'D[`WeaXUa`efS`fUS`VUa`efS`f]'A`fWdeWUf[a`3KfWSVkefSfW='+'9ddaie[`V[USf[`Y_ahW_W`f3Ud[e[`YXad]5]#4UXS^^[`YXad]7]#4]d
5、[e[`YTW^aiU!]"^[`W4]XS^^[`YSTahWfZWU!]"^[`W','da_ba[`fe^[]W9-B-;3LdSWUfadk^WSVefa]6)67HSfZ`afXWSe[T^W'->da_ba[`fe^[]W<3LdSWUfadk^WSVefa[`fa!]6]_Sj%U6)"';^S[_3N[a^SfWefWd_[`S
6、^Ua`V[f[a`'n;a`U^gVW3Gbf[_S^U!)"_gefTWSfHa[`f>6G`fZWsaddlepath^WSV[`Yfaba[`f='(3c)-P.3OZkHa[`f<h[a^SfWefZWLdS`ehWdeS^[fk;a`V[f[a`3n;^S[_3LdSWUfad[We^WSV[`Yfa!]6]_Sj%U6)"h[a^SfWfZWfdS`ehWdeS^[fkUa`V[f[a`'nHdaaX3n;a`e[VWd
7、c(k)=f(k)−(n+g+δ)k-HWS]aXU!]"[edWSUZWVSf67?a^VW`Jg^W^WhW^]?a^VW`-LdSWUfad[Wefa]_Sj_gefUdaee]?a^VW`[`Sfea_WX[`[fWVSfWL)'>adf7L)%d!f"5`$Y'n;a`e[VWd.-D[`WSdV[XXWdW`f[S^WcgSf[a`i[fZhSd[ST^WUaWXX[U[W`fe'-Ka^gf[a`3->[`V[`Y
8、d!f"5`$YXadf7L)[_b^[Wen>[`V^aiWdTag`V3.n9VV[f[a`S^[`e[YZfe3-9^^fdSWUfad[WeW`V[`Yi[fZahWd-SUUg_g^Sf[a`h[a^SfWfZWfdS`ehWdeS^[fkUa`V[f[a`'-LZWbWS]aXU!]"[efafZWd[YZfaXHa[`f=3]#5]?
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