1 a benevolen governmen Baaglini Coae 005 Golosov 007 Berola 1993 Peroi 1993 Alesina Rodrik 1994 a self - ineresed governmen Besley Case 1995 Acemoglu

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1 1 3 U U dengkebin@ mail. gdufs. edu. cn wym@ xmu. edu. cn &ZD01 10CJ010 09YJC E03 JA11010S 10Y05 1 3

2 1 a benevolen governmen Baaglini Coae 005 Golosov 007 Berola 1993 Peroi 1993 Alesina Rodrik 1994 a self - ineresed governmen Besley Case 1995 Acemoglu Robinson 001 Acemoglu Acemoglu Acemoglu

3 Somanahan Somanahan U uznes U

4 1 3 n i i n i = n i = i = 1 i = 1 w r r r hp / /blog. sina. com. cn /s /blog_47841af701007i9. hml 4 r r Barro % r 1 35

5 w = r - x 1 r = r - x x x 1 w > 0 r > 0 x 0 x 0 3 max 0 U C i i e - d 3 C i = C i i = i i < < 1 U C > 0 U CC < 0U < 0 U < 0 4 U C i i = log C i + log 1 - i Acemoglu v x e -δ d 0 1 δ v R + R Besley Ghaak 001 v x x + x x x aggregae ax disorion Acemoglu Ramsey U C i i = α 1 log C i + α log 1 - i α 1 > α

6 x x i C i x x x x 1 Acemoglu 008 x x ucas C i < 0 > i > 0 3 x x i 0 > 0 i < 0 x i 0 = 0 i = 0 x 1 C i i C i i = arg max C i i U C i i e - d 0 i = r i + w i - C i 6 Hamilon H = U C i i + λ i [ r i + w i - C i ] λ i i U Ci = λ i 7 1 x x 1 37

7 lim λ i i e - = 0 7 U i = - λ i w 8 λ i = λ i - rλ i 9 9 λ i = U Ci C i C i 10 C i = U C i U Ci C i - r 7 8 = - U C i r U - x - ) Ci C i 11 U Ci = - U i w = - U i r - x 1 x = x = > 1 A - 1 A - 6 A - 7 C i = C i r - x - ) C i = i 0 + r - x - x r e r -x - )

8 i = 1 - r - x i 0 + r - x - x ) e r -x - ) 15 i 13 r x C i r - x - ) r - x - ) > x x w x x r C x x 1 max x x 1 x + x e -δ d < δ < 1 n i = n i = i i = 1 i i n n 1 n 1 + n = n r < < r n 1 < < n i =

9 Subgame Perfec Equilibrium SPE 1 x r 1 r < < r n 1 < < n x C 1 = i 0 e r -x - ) 17 C = r - x r - x 1 = 0 = 1 - r - x e r -x - ) e r -x - ) r - x r - x - r - x - 1 = 1 r - x = e r -x - ) 1 0 = w w - e r -x - ) s 0 - x ) e r -x - ) -s ds r = w e r -x - ) - 1 r - x - - r w e r -x - - x ) max x x 1 n 1 x 1 + n x + n x e -δ d x < r

10 max x x 1 0 x n 1 e r -x n x w e r -x n x w e r -x - r - x - - x + x n 1 - r - x e r -x - e -δ d max h x x 1 + h + h 3 + h [ ] 4 h 1 = x n e r -x --δ e -r +x ++δ 1 - r - x - - δ 1 r - x r - x ) r - x - - δ h = x 1 0 n 1 e r -x -- δ) 1 r - x - - δ h 3 = - x n r - x ) e r -x --δ 1-1 r - x - r - x - - δ h 4 = x n 1 - e -δ 1 ) δ r x n r - x ) 1 - e -δ 1 δ r - x - δ) 1 + x n 1 - e r -x -- r r - x - - δ h = h 1 + h + h 3 + h 4 h x = h 1 x + h x + h 3 x + h 4 x = 0 5 h x = h 1 x + h x + h 3 x + h 4 x = x 6 x h x x x x x r 1 δ 1 0 n 1 n x 1 Mahemaica! 7. 0 numerical approximaion

11 1 r - x > 0 r - x > 0 r > > r x r n > > n 1 > 0 n 1 n x r 1 10 ~ ~ ~ ~ ~ δ 0 r 500 ~ ~ ~ ~ % e r = r r r ~ x 1 1 r r > > r x x r r - x > 0 δ 1 ~ x 3 x x x x 4 5 x ~ 00 6% 5 30% ~ 50%

12 1 43

14 x 3 31 r - x - ) r - x - ) < 0 > 0 > 0 0 x 3 1 r - x - ) < 0 r - x - ) < i = 1 - r - x i 0 + r - x - x ) r e r -x - ) 7 n = n e r -x - ) 1 - r - x 8 7 r - x - ) x r - x - ) < 0 > 0 x < r - x - ) 0 13 r - x - ) > 0 r - x - ) =

15 8 r - x - ) <

16 8 < 0 7 ~ 10 r - x - ) 0 3 x x r - x - ) x n r - x - ) > 0 k 0 = k = 1 = 1 0 e r -x -) r - x ) e r -x - ) - 1) r - x x k - r - x ) e r -x - r - x ) n 9 > r - x - ) > 0 1' ' k 0 > ' k > 0 ' > 0 x 4 1 ' U 1 47

17 9 k = 1 0 e r -x - ) r - x ) e r -x - ) [ - r - x ) ] r r - x ) - x ) e r -x - ) - 1) - r - x ) e r -x - ) r - x - r ) - x 30 0 e r -x - ) [ - r - x ) ] 30 0 > ln r - x r - x - e r -x - ) [ - r - x ) ] 0 k > 0 ln r - x r - x - e r -x - ) [ - r - x ) ] ' = ' x = ln r - x r - x r - x - ) > 0 r - x = r - x ) r ) [ ] ln r - x - + > - x r - x - ) ln r - x > 0 - x r - x - ) r ) 0 k 0 > [ ] ln r - x - + r - x r - x - ) U x U k > 0 x x U U 11 x r r 1 0 =

18 U 005 r x r U x U Acemoglu U U

19 U U U i 0 1 i 0 Q Q > C i = C i r - x - ) A - 1 i = 1 - C i = A i + r - x r A A - 6 C C i r - x A - i = A i r - ) C i = r Ci A A - r - x r - C i r - ) C i = r Ci A A - C i A = r - r - A C i = i + w r ) i = 1 - w i + r - x - x r A r - x = A - 3 A - 4 A - 5

20 C i = C i 0 e r -x - ) i = 1 - r - x = i 0 + r - x - x r i 0 + r - x - x C i = - r - x x r - x e r -x - ) - x i = x i r - x ) r - x )) r i 0 + r - x - x r e r -x - ) e r -x - ) e r -x - ) i > 0 1 x i = 1 - i i 0 = - x r - x e r -x - ) = 0 i = x - r e r -x - ) e r -x - - x ) < 0 i r - x ) r - x )) A - 6 A - 7 > e r -x - ) 0 i 0 > 0 i < 0 x i 0 3 = r - x - x r - x ) = - r - x - r - x ) = - r - x - r - x e r -x - ) ) + r - x - r - x ) 0 r x - x - ) r - x - ) < 0 e r -x - ) e r -x - ) e r -x - ) 0 > 0 > r - x - ) r - x ) A - 8 A - 9 e r -x - ) A

21 GDP AcemogluD. and Robinson J A. A Theory of Poliical Transiions. American Economic Review001 Vol 91 pp AcemogluD. GolosovM. and TsyvinskiA. Poliical Economy of Mechanisms. Economerica008 Vol 76 pp Dynamic Mirrlees Taxaion under Poliical Economy Consrains. Review of Economic Sudies 010 Vol 77 pp AlesinaA. and RodrikD. Disribuive Poliics and Economic Growh. Quarerly Journal of Economics 1994 Vol 109 pp BarroR. Governmen Spending in a Simple Model of Economic Growh. Journal of Poliical Economy 1990 Vol 98 pp BaagliniM. and CoaeS. Inefficiency in egislaive Policy - Making A Dynamic Analysis. NBER Working PapersNo BesleyT. and GhaakM. Governmen Versus Privae. Ownership of Public Goods. Quarerly Journal of Economics 001 Vol 116pp Berola G. Facor Shares and Savings in Endogenous Growh. American Economic Review1993 Vol 83 pp BesleyT. and CaseA. Incumben Behavior Voe SeekingTax Seing and Yardsick Compeiion. A- merican Economic Review1995 Vol 85 pp GolosovM. TsyvinskiA. and WerningI. New Dynamic Public Finance A User s Guide. NBER Chapers007in NBER Macroeconomics Annual 006. Vol 1 pp uzness. Economic Growh and Income Inequaliy. American Economic Review1955 Vol 65pp Peroi R. Poliical EquilibriumIncome Disribuion and Growh. Review of Economic Sudies 1993 Vol 60 pp SomanahanE. Can growh ease class conflic Economics and Poliics 00Vol 14pp

% 5. 1% % % % GDP % % 4% 2003 Tsui

% 5. 1% % % % GDP % % 4% 2003 Tsui 2013 2 World Economic Papers April, 2013 * Tiebout 1995 2004 Qian and Roland 1998 2008 Zhang and Zou 1998 2001 1 2007 2009 1993 GDP 4% * E-mail ivannj@ 163. com 1037 212 430074 E-mail junzh_2000@ fudan.