【正文】
擇使(67)最大化是一回事。 由于對(duì)任給的 ;,因此對(duì)應(yīng)于的穩(wěn)態(tài)增長(zhǎng)路徑不利于移民的充要條件為: (68)這樣的話,中心-周邊分布下()的穩(wěn)態(tài)增長(zhǎng)路徑不利于移民當(dāng)且僅當(dāng) (69) (67) 關(guān)于一階,二階微分有 (70) (71)要使(68) 成立,在上不能嚴(yán)格凹;根據(jù)(71)這意味著必須有。因此是常數(shù)。這進(jìn)一步意味著: (72)也就是說(shuō),兩地具有相同的中間產(chǎn)品價(jià)格指數(shù)和相同的制成品出廠價(jià)格。因 ,于是;。于是有:命題4假定專利不能自由轉(zhuǎn)讓。若一個(gè)非完全集聚的增長(zhǎng)路徑是一個(gè)均衡,那么它是對(duì)稱的。 (69) 成立當(dāng)且僅當(dāng)。使用(33),(61),(63)的解和以及(70) 并注意到以及,該條件變?yōu)? (73)若則 ,于是當(dāng)無(wú)知識(shí)溢出效應(yīng)時(shí),Ramp。D活動(dòng)永遠(yuǎn)不會(huì)移到周邊,中心-周邊結(jié)構(gòu)是可持續(xù)的;若我們可以證明 并且存在唯一一點(diǎn),滿足: , (74)這里,若,;若。因此我們有:命題5假定專利不能自由轉(zhuǎn)讓。(i) 若則下的穩(wěn)態(tài)增長(zhǎng)路徑總是均衡;(ii) 若則下的穩(wěn)態(tài)增長(zhǎng)路徑是均衡當(dāng)且僅當(dāng),即中間產(chǎn)品的運(yùn)輸成本足夠低。,其結(jié)果表明不論專利能否移動(dòng),命題3的結(jié)論都成立(見(jiàn)附錄)。五、結(jié)束語(yǔ) 本文的模型論證了經(jīng)濟(jì)增長(zhǎng)與產(chǎn)業(yè)集聚的正向關(guān)系。模型含有Krugman(1991)式勞動(dòng)流動(dòng)性,Venables(1996)式垂直聯(lián)系以及由Ramp。D部門使用熟練工人開(kāi)發(fā)中間產(chǎn)品的新種類所引起的內(nèi)生增長(zhǎng);Ramp。D部門中熟練工人間存在知識(shí)外部效應(yīng);中間產(chǎn)品部門使用專利與非熟練勞動(dòng)生產(chǎn)每種中間產(chǎn)品;制成品部門則使用非熟練工人和中間產(chǎn)品的復(fù)合品生產(chǎn)制成品。本文證明:(1) 增長(zhǎng)與產(chǎn)業(yè)集聚相互加強(qiáng);(2) 就熟練工人的福利而言,完全集聚的增長(zhǎng)路徑總是Pareto支配分散的增長(zhǎng)路徑;若均衡中僅有中心地生產(chǎn)制成品,那么就所有非熟練工人的福利而言,完全集聚的增長(zhǎng)路徑總是Pareto支配分散的增長(zhǎng)路徑;若中心與周邊皆生產(chǎn)制成品,那么當(dāng)且僅當(dāng)由集聚帶來(lái)的附加增長(zhǎng)足夠強(qiáng)時(shí),完全集聚的增長(zhǎng)路徑Pareto支配分散的增長(zhǎng)路徑。從分析中我們也看出,產(chǎn)業(yè)集聚在促進(jìn)增長(zhǎng)的同時(shí)也可能會(huì)加劇南北不平等,對(duì)此我們應(yīng)介意嗎?參考文獻(xiàn)Baldwin and Forslid,2000, “The CorePeriphery Model and Endogenous Growth: Stabilizing and Destabilizing Integration,” Economia, 67, 307324.Baldwin,1998, “Agglomeration and Endogenous Capital,” European Economic Review, 43, 253280.Baldwin, Martin and Ottaviano, 2001, “Global Ine Divergence, Trade, and Industrialization: the Geography of growth Takeoffs,” Journal of economic growth, 6, 537.Baldwin, Forslid, Martin, Ottaviano and RobertNicoud, 2003, Economic geography and public policy, Princeton University Press.Fujita and Thisse, 2002, Economics of Agglomeration, Cities, Industrial Location, and Regional Growth, Cambridge University Press. Grossman and Helpman, 1991, Innovation and Growth in the Global Economy. Cambridge, MA: The MIT Press.Hohenberg, P., and L. H. Lees, 1985, The Making of Urban Europe (10001950). Cambridge, MA: Harvard University Press. Krugman, 1991, “Increasing Returns and Economic Geography,” Journal of Political Economy, 99, 484499.Kuznets, 1966, Modern Economic Growth, Rate Structure, and Spread. Yale University Press, New Haven.Martin and Ottaviano, 1999, “Growing Locations: Industry Location in A Model of Endogenous Growth,” European economic review, 43, 281302.Martin and Ottaviano, 2001, “Growth and Agglomeration,” International Economic Review, Vol. 42, . Venables, 1996, “Equilibrium Locations of Vertically Linked Industries,” International Economic Review, 37,341359.Walz, 1996, “Transport Costs, Intermediate Goods, and Localized Growth,” Regional Science and Urban Economics, 26, 671695.Yamamoto, 2003, “Agglomeration and Growth with Innovation in the Intermediate Goods Sector,” Regional Science and Urban Economics 33, 335360. 附 錄先看格局1。因;;, 所以: (75)于是, (76) (76)說(shuō)明當(dāng)經(jīng)濟(jì)處于格局1且專利不能自由移動(dòng)時(shí),兩地的非熟練勞動(dòng)以及北方的熟練勞動(dòng)更喜歡集聚的增長(zhǎng)路徑;且集聚時(shí)南北非熟練勞動(dòng)的福利差距依然是(44),即差距加大。再看格局2b.因, 而, 所以, (77) (78) (79)而,于是, (80) 因此,集中較之分散對(duì)北方熟練與非熟練勞動(dòng)者有利;對(duì)南方非熟練勞動(dòng)者有利當(dāng)且僅當(dāng)(51)成立;集中加大了南北非熟練勞動(dòng)者間的福利差距。 格局2a可以類似討論。因此我們有:命題6 不論專利是否可以自由轉(zhuǎn)讓,命題3都成立。21 / 2