高級微觀經(jīng)濟(jì)學(xué)publicgoodsandexternality-文庫吧資料
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【正文】 ? Reflection function: ? If: ? Non cooperation equilibrium (0,0) ijg c g??( , ) ( , )i i i i i ju G w g u G w c g? ? ? ?1221r c gr c g????,0i j jg c r g? ? ?Public goods ? Voting: Public goods ? Continuous case: ? Social welfare function: 12()G f g g??12( ( ) , )i i iu f g g w g??12( 1 )W au a u? ? ?Public goods ? Continuous case: ? Benchmark: 1212,m a x ( 1 )gg a u a u??1 2 111 2 22( 1 )( 1 ) ( 1 )u u ua a aG G xu u ua a aG G x? ? ?? ? ?? ? ?? ? ?? ? ? ?? ? ?1 1 2 2121u u u uG x G x? ? ? ?? ? ?? ? ? ?Public goods ? Samuelson condition: 1( ) ( )Iiiu G c G???????Public goods ? Private provision ? By KuhnTucker first order condition: See the fig. 11 1 2 1 11m a x ( , ) . . 0gu g g w gs t g???11111 , f o r 0uu gGx?? ????11111 , f o r 0uu gGx?? ????Public goods ? A Nash equilibrium: ? The equation holds for one i at least. ? If the utility is quasilinear, then we have : ? If ,then 2 to be the freerider. 1( , ) 1 , i i iu G x uGx???????1 1 2( ) 1 , u g g??? ?? 2 1 2( ) 1 , u g g??? ??12( ) ( ) u
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