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1 Agh Piohnilippe and Patrick Bolton. A Theory of TJ .r ickle—Down Growth and DevelopmentReview of Eco 1n9o 9m67 4i2c 1S5tu1d—ie7s2.
2 Bern aBne kMneark Gertler. Anegte Wn caoynr dtCh Bosutsiness JF . luAcmtueartiicoanns Economi c1 R9 8e79v 91i e 1w4—31.
3 Bern aBne kMneark Gertler and S. Gilchrist. The Financial Accelerator in a Quantitative Business Cycle Fra Mm . eIw nToary kJlo. Wrood Mfo .Er dd of M Vacorlo. economics1C. Am sNteorrdtahm-H 1o9l9la9n. d
4 Ch Jeiah Yuaingyi Qian. Institu Ctionmaml Eunivtiyr o Gannomdv eCnrontrmpeonratte Gov-ernance Understanding China's J T. oJowunrsnhailp Eo-Vcf oiLnllaoawmgei cE anntedr prisesOrgani 1za9t 9i1o8 41n 1 23.
5 Coo Tlehyo mRasmon M Vairnicmeonnzo Quadrini. Aggregate Consequences of Limited Con-tract Enfo rJ c. eJaobuirlnitayl of Pol i2ti0c 01a4l1 42E c8o1n7o—m4y7.
6 Ed iMnaria. Stat eL oCcaapl aAcigtyent Control in China CCP Cadre Management From a Town-ship Per sJ p. eTchtiev eChina 2 Q0 0u33a 5r5t2er. ly
7 Free mScaontt. Equilibrium Income Ineq uJ .a lJiotyu rAnaml oonfg P Iodleitnictiacla l AgentsEcon o1m9 91y60 45 1047—64.
8 Ga lOord eJodseph Zaira. Income Distrib Ju .t iRoenv aienwd Mofa Ecrcooencoomnoicm icsStud 1ie9s 963 01 35—52.
9 Kiyo Ntaokbiu Jhoihron Moore. C J r. eJdoiut rCnyalc loefs Pol i1ti9c 9a17l0 E5 (c2o)nomy211—48.
1 0 Ku nJagm Yesi-min Lin. The Decline of Township and Village Enterprises in China’s Economic Trans Ji oWnorld De 2v0el 03o7 5p4 m 5e6 n98t4.
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1 1 Mutsu Kyaimainori. Aggregate Implication sM o. fN CBrEedRi tW moarrkk-et Imperfectionsing P 2ap0e0r7.
1 2 Mutsu Kyaimai Fnoinraincial Market Globlization. Symmetry-Breaking and Endogenous Ine-quality of J N. Eatcionos m20e 0t7r4 2i3c a853—84.
1 3 Mutsu yKaimainori. Endog eJ n. oRues vIineewq uoafl iEtyco 2n0o 0m60 7i4c Studies742—59.
1 4 Pa rAklb Mertinggao Shen. Joint LiRabisieli tayn Ld eFnadliln ogf aCnhdi nthae's Township and Village E nJ Jropurirsneasl of Develo 2p0m 07e2 1n2 t4 E9 ics
1 5 Pike Ttthyomas. The dynamics of the wealth distribution and the interest rate with credit ration-in gJ . Review of Ec o1n9o 96m7 42i c 1 S7t3u—di8es9.
1 6 Putte rLmoaunis. On Ftuhteu rPea sotf China’s Township a nJ d. Village-Owned EnterprisesWorld Dev 1e9lo 92p7 51m 0 e1n6t 3595.
1 7 Town Md. Optim Calo Cmopnettriaticvtse Markets Wit hJ .C Josutrly- State Verificationnal of Econo 1m9i 72c9 1T22h1e—ory72.
1 8 Weitz Mma rnCtihnenggang Xu. Chinese Township-Village Enterprises as Vaguely Defined Co-opera tJ Jeosurnal of Comp a1r9a 9t1i4v 82e 1E2 m ics T| ç 1 2 Cobb-D o§u glakss 9 ¼ 1 0t 1 1Ô¹á Nα K=(1−α)Ak A 1 t+1∑j,tj=1N K=k A 2 t∑j,tj=1α−α−1 φAk=φAk∀, j l A 3 j,tj,jt,ltl,lt1/−(α1) ¡H φ≡miτn{∀j,1 Bk}, A 3z?k=[(Aφ)(φA)]∀k≠, j1j,tj,tj,tj,jt1,t1t,Ë¡æ A 131á 1α/α/(−1α)(Aφ)K/−(1)11t,t+1 k= A 4 1t,N1/−(α1α)−α/(1)Aφ∑j,tj,tj=123
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Huang Z higang China Center for E Ncoantioomnaicl SRcehsoeoarl c fPhoerk Dinegv eUlonpivmeresnity, Beijing, 100 871, China T h is paper constructs ma ogdenele rwali tehq muiulilbtir-isuemct ors to analyze the implications of imperfect credit markets and government interventions. The unbalance credit mar-ket conditions across senctyo rosf leinavde tsotm ineneft fiaclileocattions under the markemechanism. This ine fcfriecdieint ctiryna pmdsyanya mraicses. Government interventions can reduce inefficiency tmhoaurkgeht bcaolnadnictinogn sc arecdr oift s s sectors. Howeverinterventionsh oasgeg ruanvbaatlea ntce c groedvietr ncomnednit iionnesfficiency will rise. Fur-th etrhis government inefficiency may bring credit traps as markets do.
C re dit Market ImGopverefrencmtieonts InItnevrvesetnmtieonts Ineffi-cien cCyredit Traps. á D 8 6 D 8
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